NASA Johnson Space Center
Oral History Project
Edited Oral History Transcript
Bedford
F. Cockrell
Interviewed by Jennifer Ross-Nazzal
Houston, Texas – 28 May 2019
Ross-Nazzal:
Today is May 28th, 2019. This interview with Butch Cockrell is being
conducted for the JSC Oral History Project in Houston, Texas. The
interviewer is Jennifer Ross-Nazzal. Thanks again for taking some
time to meet with me this morning. Really appreciate it.
Cockrell:
Glad to be here.
Ross-Nazzal:
I wanted to ask you about your memories of Sputnik.
Cockrell:
Sputnik was probably one of the catalysts that got me in the business.
I was a sophomore in Beaumont High School [Texas], and I already had
an interest in space kind of things. We used to get a thing called
the Weekly Reader, came out every Friday, and it had little articles
in it. There were articles in it about putting things in orbit, and
I was curious about that. [But I] didn’t understand how it worked.
I went to the high school physics teacher, and he said something to
me, said some words, and I didn’t understand it. I didn’t
understand it till later. In the fall of ’57 I was 16. I was
a sophomore in high school and already had a love of math. By the
time I was a sophomore the only science class I’d had was biology,
so I hadn’t had chemistry and physics yet. I was taking math
courses, of course.
My dad wasn’t a ham radio operator, but he was interested in
radio. He had a shortwave radio, so he could get weather. It had a
band on it that could receive the signal from Sputnik. The Beaumont
newspaper published articles about when it was going to come over,
and we would get the radio on and listen to it beep. My dad was a
blue-collar guy, didn’t have a college education, but he was
fascinated by things like that all his life. In fact, I remember when
I was working at NASA I spent many days talking to my dad about how
things worked.
I went on through high school and took physics and chemistry and all
the math courses, made good grades, and I got accepted into Texas
A&M [College Station] in 1959. I thought I was going to be an
electrical engineer, majored in electrical engineering, and I realized
after two semesters that the engineers had to take labs. They were
usually in the afternoons, and the math majors and the physics majors
only had lectures in the mornings and no afternoon classes. I switched
my major and majored in math physics.
[The way I got my job at NASA was luck. When] I was a senior at A&M,
[in the spring of] 1963, my last semester of my senior year, I almost
had enough credits to graduate, so I was double-registered as a graduate
student as well as an undergraduate. I was also by obligation in the
ROTC [Reserve Officer Training Cadet] program. At that time, unless
you were medically exempt, you had to be in the Corps at A&M.
You had to take ROTC. I was on the way to getting a commission.
I was grading papers for a physics professor. His name was Jack Kent.
He got a contract with NASA to come down here every Thursday and teach
orbital mechanics. NASA had just opened a facility up on the Gulf
Freeway at a place called the Houston Petroleum Center. People who
were here then may remember. There was a yellow oil derrick out on
the freeway in the parking lot next to this place. It was just before
you get to Wayside Street on the Gulf Freeway.
The Langley [Research Center, Hampton, Virginia] people had moved
here the year before. They were hiring, and some of the new hires
had various degrees in various disciplines. John [P.] Mayer, the guy
who ended up being my boss for a lot of my life, he was Chris [Christopher
C.] Kraft’s deputy. They had an organization there; it was called
the Flight Operations Division. Chris Kraft was the division chief
and a guy named John Mayer was the assistant chief for Mission Planning.
John Mayer realized that a lot of these new hires didn’t understand
orbital mechanics well enough, so he hired this professor at A&M
to come down every Thursday and teach a class on orbital mechanics.
I was grading papers for him, and I was his lackey. Every Thursday
we drove down here in an A&M Pontiac station wagon. I carried
the viewgraph machine and the viewgraphs and the handouts and came
with him.
As we did this, all spring semester in 1963, one day a guy named Paul
[G.] Brumberg approached me and said, “You’ve taken all
this stuff. You know all this stuff. You need to fill out an application.”
I said, “Well, I can’t, because I’m due to be commissioned
the day I graduate. I’m going to get a degree, and I’m
going to get a commission. I got an Army tour to do, a two-year Army
tour.”
He said, “Don’t worry about that. We’ll get you
assigned to NASA.”
I did. I filled out an application. They hired me. I graduated on
Saturday in May of ’63, and I went to work on Monday.
Ross-Nazzal:
Wow! They worked fast.
Cockrell:
I showed up at the Houston Petroleum Center facility there on the
Gulf Freeway. It’s a one-story building, a whole bunch of little
buildings all connected with breezeways. Apparently it had been built
at some time for some petroleum group, and they were leasing it out
to the people moving here to NASA. I start working there, and the
Personnel Director, a guy named Bill Forsyth, said, “I’m
going to fill out an application to appeal to the Army to have your
military assignment assigned to the Manned Spacecraft Center.”
I said, “Great.”
I went to work, and Army said no. I lasted about three months, but
it was invigorating. We had a contractor. I was put into a branch
called the Math Physics Branch in that division, Chris Kraft’s
division. The branch chief was this Paul Brumberg. His deputy was
a guy named Emil [R.] Schiesser. I think you interviewed Emil.
Ross-Nazzal:
A couple of times.
Cockrell:
Emil is the math physics guru; he’s the one that we all know.
When people talk about math physics and navigation, they talk about
Emil. I went to work for Brumberg. Brumberg left before I left that
summer, and Emil became actually the section head. The branch chief
became a guy named [James F.] Dalby.
That summer, I worked with a guy named Sam [Samuel] Pines, who was
a contractor. He had a little company called Analytical Mechanics
Associates, AMA. He had four employees. He was a genius about computers.
The computers we had in those days were not nearly as sophisticated
as the ones we have now, even the mainframes.
We were trying to solve problems. When you’re numerically integrating
a function, if it’s a straight smooth function like a straight
line, it’s easy. You can take big steps in your integrator and
not make errors. Think, for example, if you have a line starting at
the x-axis and going up at 45 degrees. You can take a point at the
start and a point anywhere out there, measure the length of the bottom,
and measure the length of the side, and you get the area. It’s
perfect, [but] that’s only for straight lines.
If the line is curved and you’re trying to compute the area,
which is what integration is, you got to take smaller and smaller
steps. If you take small steps, it takes more computer time. We wanted
to find out how to integrate the functions that we were integrating.
These are orbital mechanics problems. You want to take a known position
and velocity at a point in the orbit. You want to propagate it ahead
in time so you’ll know where you’ll be in the future so
you can plan things. That’s what mission planning is. [If] I
want to be over Corpus Christi at a certain time of day when the Sun
is shining so I can take a picture I got to plan all that; that’s
what orbital mechanics does. We wanted to find ways to pick the integration
step size so that it was small enough to minimize the error but large
enough to not use up a lot of computer time. That’s mostly what
I did that summer.
We found some solutions. For example, when you’re in Earth orbit,
the orbit is pretty curvy. It’s shaped like a circle or an ellipse
and so you have to take relatively smaller steps than you do when
you’re on the way. When you’re on the way to the Moon,
the trajectory is fairly smooth and fairly linear, fairly straight.
We came up with a scheme where we changed the step size based on the
shape of the trajectory. Then I had to go to the Army. The good thing
about the Army was that’s where I met my wife.
Ross-Nazzal:
Always nice.
Cockrell:
I went to Letterkenny Army Depot [Pennsylvania]. I was ordnance officer
in the Ordnance Corps of the Army, which I had chosen, and I got sent
to the Ordnance Officers’ Training School which was in Aberdeen,
Maryland. I was there for about nine weeks. Then I had a choice to
make. They said, “You want to go into tank automotive or supply?”
I picked tank automotive because that sounded more interesting than
supply. They assigned me to supply.
Ross-Nazzal:
Of course, that’s the way it works, right?
Cockrell:
Of course. Sent me to Supply School. I went to Supply School at Fort
Lee, Virginia. Then I got my full-time duty assignment, which was
at Letterkenny Army Depot in Pennsylvania. It’s about 20 miles
from the Gettysburg battlefield near the Maryland border. Army depots
store ammunition and precious metals. They have these bunkers full
of ammo, powder, and everything you can think of.
At this depot, we had 5,000 civilians and about 30 military officers
of which I was one. The Depot Commander was a light colonel. He called
me in when I first got there. He said, “I noticed in your resume
that you programmed computers at the Manned Spacecraft Center. We’ve
got a computer project down at building so-and-so-and-so-and-so, and
there’s a first lieutenant down there that’s leaving in
six months. I want you to go down there and take over his job and
finish this software project.”
I said, “Okay.” I went down there. They were building
a payroll program in COBOL [Common Business-Oriented Language].
Ross-Nazzal:
Quite different from what you were working on.
Cockrell:
I was programming scientific equations in Fortran [Formula Translation],
and they were doing a business language. I didn’t have any business
background. They had all these civilians that were doing the work
that were contractors. I basically was a little 21-year-old second
lieutenant that managed 25 programmers. We built a payroll program
and put it in play at this center. In fact, I went around to other
centers. Part of my job was I had to go educate the other centers
on how to use it, because we built it, then we provided it to them,
and they had to go show them how to use it. We did a test program.
One funny story about that. One day I sent out a memo to all employees,
and there were 5,000 civilian employees that we paid with this payroll.
I said, “You need to give us an address where you want your
check mailed. You can send it to your bank. You can send it to your
house. Whatever you want to do.” I didn’t give them any
other choice. I got a bunch of complaints. There were 27 men at the
depot that didn’t want that check mailed to their bank or their
home. They wanted it handed to them like it had always been.
I asked a guy who was a GS [General Schedule]-15 civilian that I worked
with. I said, “Why is that?”
He says, “Those guys haven’t told their wives in years
what their pay is.” As they got pay increases, they didn’t
tell their wives. They were cashing their checks and going home and
keeping money for hobbies. I had to reprogram the program and have
it sort bank, bank, bank, home address, and then we had this private
that drove around in a jeep and handed them out every other Friday.
I finished that tour. While I was there I met this young woman working
in a hotel there, and we got married there on the base. Came back
home, and I came back to NASA. When I first hired in that summer I
was a GS-7, and I was making $6,666.66. Somebody must have taken an
equation and divided by three or something. The salary was $6,666.66.
I told myself if I ever made $10,000 I’d have succeeded. This
is 1963.
Ross-Nazzal:
That sounds like what my father-in-law told my mother-in-law. When
you make $10,000 that’s [his dream].
Cockrell:
Ten thousand will be like hog heaven.
Ross-Nazzal:
Yes. You were about the same age.
Cockrell:
After I did my Army tour, the branch chief was now a guy named Jim
[James C.] McPherson. He hired me back, and he gave me a GS-9. I went
to work, and this was 1967. I came back, and I bought a house on the
GI Bill in Clear Lake City, Camino South, the same house I’m
still in. It was the third house built in Camino South. You can sit
in our front yard, and you could see the Clear Lake Movie Theater,
which is now a Chinese restaurant behind a Valero.
Ross-Nazzal:
Is that the 888 Bistro?
Cockrell:
No, it’s no longer a Chinese restaurant, it’s vacant now.
But there’s a two-story building right across from the Firestone
store.
Ross-Nazzal:
Oh yes, the Oriental Gourmet I think is what it used to be.
Cockrell:
It used to be, but it went out of business. The Valero wasn’t
there. That was the movie theater’s parking lot. We could sit
in our front yard and see the theater, and we could get in our backyard
and watch planes land at Ellington [Air Force Base]. There were no
houses between my house and Ellington, and no houses between my house
and the Clear Lake City Shopping Center down by the theater. It was
1967, February.
Everybody on my street was somehow affiliated with NASA. It was a
cul-de-sac and at one time there five of the women were pregnant at
the same time, so we had all these kids growing up together. We had
block parties. We put a barricade at the cul-de-sac and on Halloween
night we would show movies outside on garage doors, have bobbing for
apples. Everybody would make doughnuts and cookies and had a big party
in ’67, ’68, all building up to Apollo.
When I came back, I was put in charge of maintaining the constants.
It was a navigation group, and there’s a lot of constants that
you have to use. The idea was that we wanted everybody to use the
same ones, so we wouldn’t have somebody in Baltimore running
a trajectory program that used a set of constants that were different
than the ones here at the Manned [Spacecraft] Center. My job was to
document these constants.
There was a document that was agreed to by all the NASA Centers that
these are the ones we will use. I basically put that document together,
and it went around for everybody to use. When you model gravity, the
Earth’s gravity is not spherical. The Earth is fat in the middle.
It’s bigger at the equator than it is at the poles. That’s
because when the Earth was cooling it was spinning, and centrifugal
force brought more mass out at the equator. As you look at the Earth,
it’s oblate. That means the gravity is different. As you go
around in orbit, the gravity force is not constant, it’s affected
by the shape of the Earth. There are constants in that; there’s
a Taylor series function that has coefficients that model that misshaped
gravity. Those constants were part of it. Later on, if we get to it,
I’ll have a horror story I’ll tell you about me and the
Russians during ASTP [Apollo-Soyuz Test Project] agreeing on constants.
Also in Apollo, we had to have a coordinate system to keep track of
everything. The coordinate system we used was the orientation of the
Earth at the beginning of the year. In fact, it was the nearest January.
It was called the nearest Besselian year. That means roughly January.
What we did is at the moment, at some date near January 1st, the Earth
was oriented some way with respect to the stars. The z-axis went through
the spin axis of the Earth, through the North Pole. The x-axis was
where Greenwich meridian was at some time of day. The y-axis completed
it.
The other job I had was that we had star charts that the crew used
on the flights. We had about 50 stars in the computer, and we had
catalogs of where the stars were located in a system that was the
same kind of system, but it was based on 1950. Since the stars are
moving a little bit, I would calculate how much they had moved since
1950 and put them in that year’s system. If we flew a mission,
say Apollo 8, [which] was in December of 1968, the January we used
was January ’69. It was the nearest January. If you launched
after July it was the next one, if it was before July it was the previous
one. I had to move all the stars into the system that was defined
by the orientation of the Earth, January 1st, 1969.
Then they built star charts. They were plastic charts where the star
patterns were on. The crew could look at those, and during the flight
they could look out—when they aligned the navigation instruments,
there’s a thing called an inertial measurement unit [IMU], which
is a bunch of gyros and accelerometers. You have to know its orientation
with respect to the stars, so when it senses stuff it senses it in
that coordinate system. The crew would look through the sextant and
point at two different stars, identify the stars, and the stars’
locations were stored in the computer. Once he looked at two stars,
software calculated what the orientation was. That’s called
a star alignment. We did those. We still do it. They did it on the
Shuttle.
I also built venting tables. The third stage of the Saturn V when
it was in Earth orbit, just one orbit, even though it had finished
its burn, was going to be used again. The third stage of the Saturn
was the end of the launch to get it into orbit, and then they coasted
around the Earth one time and then they lit it again to do a burn
called the translunar injection [TLI] burn. That’s the burn
that kicks you out of Earth orbit on the way to the Moon. It’s
about 3,400 meters per second.
During that coast around the Earth, the S-IVB, the Saturn third stage,
was venting fuel. It had liquid hydrogen and liquid oxygen, and they
couldn’t store it as the pressure built up. They had to open
the vent. The venting was based on the position of the Sun. When the
Sun shined on the tank it heated it, which made it vent. They modeled
that vent thrust. When we propagated the state vector or the position
and velocity around that orbit, we took into account the misshaped
gravity, atmospheric drag, and the vent of that nozzle. I modeled
that and put that in the ground computers. Then when the Saturn third
stage fired itself and kicked the stack on the way to the Moon, it
continued venting because it didn’t burn all, they overloaded
it. On the way to the Moon it was venting.
What we did after Apollo 11—8, 10, and 11 didn’t do this.
They targeted the stack to go in front of the Moon to go into a retrograde
orbit around the Moon. As the Moon is coming around the Earth, the
stack approached the Moon in front of it, got to the Moon, and then
went around behind it and went into what’s called a retrograde
orbit. After Apollo 11, we used that vent for the S-IVB engine to
push it into the Moon. On Apollo 12, 13, 14, 15, 16, and 17 we crashed
the S-IVB into the Moon. They had planted seismograph sensors on the
Moon, so they were trying to measure [the impact]. They created an
earthquake by impacting the thing, and they measured the vibrations,
like the oil companies do when they go out and blow up dynamite to
determine where the oil is in the seismic tests.
I also was involved in the navigation for the lunar orbit rendezvous.
We built a thing called a Kalman filter in the Lunar Module [LM] and
there was one in the Command Module. We worked with Draper Lab at
MIT [Massachusetts Institute of Technology] in Boston. They built
the software and the hardware. They built the computers for the Apollo
spacecraft. They also programmed the computers. But we helped them
with the equations and we had an input into what they were. My counterpart
was a guy named Bill Robertson at Draper Lab, MIT, and he was the
constants guy and the star guy and all that, like me. We were cobuddies.
For the rendezvous we had to build a filter. The way you do navigation—I
may be saying more than people need.
Ross-Nazzal:
No. I think a lot of people, when they read these, they might not
understand what some of these terms are, so I think it’s always
helpful.
Cockrell:
The way you do navigation is you have some way to take measurements
of something. Suppose you’re on the Earth and you have something
in orbit around the Earth. You have a ground station, maybe it’s
measuring the range from the antenna to the vehicle. Maybe it’s
measuring some angles like elevation and azimuth. What you do is you
guess where you are. You have a pretty good estimate of where you
started. You try to pass mathematically a trajectory around the Earth.
You think this is where I think I am.
Then you take these measurements. Say the vehicle goes across radar
and the radar takes these measurements. What you do is you go back
and you say, “Okay, if I was where I thought I was this is the
measurement I should have taken.” You calculate what the measurement
should be at that time. Then you get the real measurement, and they’re
different. The reason they’re different is because your trajectory
is not perfect, you don’t model gravity perfectly. The station
has errors. It doesn’t have a perfect range measurement; it’s
got errors on it.
What you do is you pass this through a range of measurements, and
there’s a bunch of what’s called residuals. These are
the differences between what you thought you should get and what you
got. Then you go back to the beginning and you change your position
and velocity vector a little bit and you pass it through again. You
keep doing that over and over and over until these differences are
the smallest. It’s called least squares. It’s the square
of those differences become the minimum. That’s called a Bayes
filter. That’s what we used all the way through Apollo in the
ground programs.
But on board we couldn’t store that much information in the
computer because the computer was too small. So we built a filter
that was called a Kalman filter. The Kalman filter did that one measurement
at a time. It basically said, “Take a measurement, compare it
to what you got, see what the difference is, and adjust your trajectory.”
You do that every minute as you’re measuring.
In Apollo, the stuff I worked on was the Lunar Module. The Lunar Module
had a rendezvous radar that measured range, range rate, and two angles.
This Kalman filter, I had to monitor it during the flight. I sat at
a console on the second floor in a back room. As they took measurements
on the front side where we could talk to them, we could find out if
the differences were big or small, how things were going. Of course
when they’re on the back side, we had no comm, so we’d
have to wait. After the flights were over, I would interview the crew
about what their experience was with this residual.
The crew had the ability to reject a mark. If the rendezvous radar
took a measurement and the crew thought that the difference was too
big—a flag popped up to tell him, “Okay, this is big,
do you want to take it or reject it?” I remember talking to
Pete [Charles] Conrad after his flight which was Apollo 12. He said
he had no problems at all, everything worked great.
I had to go in on the landing day because one of the aborts we had—if
the vehicle didn’t land, it had to abort the landing—it
had to go back and do a rendezvous. Us rendezvous guys had to be on
console during the landing so we could be there in case there was
a rendezvous. If everything was successful, then we were on call for
whenever the last day when they left the Moon and we did the rendezvous.
We were on consoles for all that.
I guess the crowning glory for navigation guys was Apollo 12. When
we went to the Moon on Apollo 8, I told you earlier that the Earth’s
shape is misshapen which causes the gravity field to be warped. You
have to calculate gravity wherever you are. The Moon was worse. We
got to the Moon and went into lunar orbit. The ground trackers would
track the vehicle, and when it went behind the Moon they knew where
it was when it left, so they propagated the state vector around to
when it appeared again, and it came around the Moon, it was like 5,000
or 6,000 feet further downrange than we thought. We knew it was the
gravity model. But we had very little data, because all we had was
Apollo 8.
There was a Boeing project called Lunar Orbiter back in the ’60s
that we had some data from. I didn’t work on this much, but
JPL [Jet Propulsion Laboratory, Pasadena, California] and the guys
at MIT and another group in the Math Physics Branch—I was in
the onboard soft navigation and there was another group that did the
ground. That’s where Emil was. They came up with this idea that
the Moon was like raisin bread. It had what’s called mascons.
There was this distribution of the regolith but there were concentrations
of probably iron ore or nickel or something like that that were buried
around in the Moon at various places. They were called mascons which
really means mass concentrations.
As you flew around the Moon, if you flew over one of these, gravity
was different than what you thought it would be. We had a very very
very poor knowledge of the gravity, and we couldn’t propagate
a state vector around the Moon very accurately. We discovered after
Apollo 11 landed—10 was the same thing but 10 didn’t land,
10 just went to the Moon, did a rendezvous, and came home. But we
got more data because they were in orbit for a while.
When 11 landed the navigation system onboard the Lunar Module thought
it knew where it was. We wrote that down. It sent back data, telelinked
the data back what its position and velocity were on the Moon. They
took photographs while they were there on Apollo 11, and then we compared
those photographs to Moon maps. The Lunar Module on Apollo 11 was
about 5,000 feet different than we thought it was. The error was almost
a mile.
Ross-Nazzal:
That’s a big difference.
Cockrell:
Lo and behold, George [M.] Low whips in one day and he tells [Robert
R.] Gilruth that they want to take Apollo 12 and they want to go to
an existing lander called the Surveyor. There was a Surveyor that
had landed on the Moon prior to us going there, so they said, “We’re
going to go to the Surveyor crater. We’re going to land next
to the Surveyor, and we’re going to get Pete Conrad and Al Bean
to go over and take a picture of it and cut a piece of metal off of
it and bring it home.”
Here we were in July of 1969. We’d just found out that our error
in landing was a mile. They couldn’t walk a mile. If they landed
a mile away from the Surveyor they couldn’t have gotten to it.
George Low is saying, “We’re going to go land next to
the Surveyor.” The nav [navigation] group went into business.
We flew that mission before Christmas. I forgot the date, but Apollo
12 was before Christmas that year; it was July, and it was three or
four months.
It’s fascinating what we did. It turned out from the photographs
we knew that there was a crater near the landing site that was called
Cone Crater. It had a distinctive shape, orientation, looked like
an ice cream cone. It was round and tapered like an ice cream cone,
and it was very near the Surveyor. We had a map location.
The other thing that happened that saved the day, there was a guy
named Bill Lear. Unfortunately he’s dead now. You’d love
to interview him. The Apollo vehicles, both the Lunar Module and the
Command Module, had two systems for doing the guidance, navigation,
and control. It was called PNGS and AGS. PNGS was primary navigation
and guidance system, PNGS. The abort was called the abort guidance
system. They had two inertial measurement units, two sets of accelerometers,
two sets of gyros. But we only had two.
The question became if you have two answers, say you’re taking
a temperature measurement with two thermometers, one of them says
50 and one of them says 80. What do you do? You don’t have any
third choice. Bill Lear came up with an idea. We track the vehicle
when it’s in orbit with a radar called S-band radars. There
were three of them on the Earth. There was one at Goldstone, one at
Madrid, and one in Canberra, Australia, these huge 70-meter dishes.
What they did is they sent a signal out to the vehicle at a known
frequency. It was called S-band frequency. Basically the vehicle had
a mirror, you could think of it as a mirror. It basically took that
signal and it sent it right back.
The transmitter sends out a signal of a known frequency. If the frequency
that you get back is higher frequency, that means the vehicle is coming
towards you. It’s called the Doppler shift. Have you ever sat
at a train and heard a train go by? It goes whee oom. When it’s
approaching you the frequency of the whistle is compressed and higher
frequency. And as you’re going away it stretches out. Same thing
in that.
We measured a light-of-sight velocity to the vehicle and could calculate
its velocity to about a centimeter per second. We did that from three
points on the Earth. Any time there would be at least two of them
that could see it. What we did on Apollo 12, we knew we had a downtrack
error because the gravity model is like an energy error, and it causes
you to not know the energy and so you’re too far downtrack.
… [The LM had done a deorbit burn behind the Moon. After it
was acquired by our ground trackers, Bill Lear’s program computed
the downtrack error. This] was a keyed input by the crew. What it
was was a downrange error which we calculated on the ground. The LM
has separated from the Command Module, it’s coming around the
horn, it comes into comm view. We see it, we start tracking it. It’s
coasting around to about 8-nautical-mile perigee, and then it lights
its engine and lands.
If you update the state vector by a mile in position you have to change
six numbers. The coordinate system has an x, y, z for position and
x-dot, y-dot, z-dot for velocity. He would have to punch in 12 numbers.
We knew our error was all going to be along the track. We said, “Okay,
when we calculate what the error is, the crew will type in in feet
the downrange error. So we lie to the guidance.” What we did
is we moved the target.
We had a landing site we were targeting for. The vehicle was looking
for it. The guidance was trying to steer it to it. But we knew we
had an error here, so we moved the target so that when the vehicle
kept doing what it was doing it would get to the right place.
On the rev prior to the deorbit of the Lunar Module, we did landmark
tracking. The crew, while they were still attached to the Command
Module, pointed the sextant at the Moon and took measurements across
the Moon of the Cone Crater. We got the plane down pretty good, and
we adjusted the plane of the trajectory. Then we got the downtrack
error with this S-band radar tracking.
We landed, and I remember I was sitting down at my console, and I
heard Pete Conrad say, “Guess what I see.” He landed,
and he could see it. We were like 600 feet from the Surveyor. If you
ever talk to an Apollo nav guy like Emil or anybody else, Apollo 12
was our glory day, it was our highlight.
I guess the other story that I can think of about Apollo, I was involved
in 13. Let me tell you one more story about 12. Apollo 12, we had
launched. Just as the Saturn cleared the tower lightning struck the
vehicle. You may have heard this story before. There’s photographs
of it. The Saturn V stack, the engines are right at the top of the
gantry or the tower. Right about the time the lightning strikes, the
Saturn V, at the top of the Command Module there was an escape motor
which is a long skinny tube, and it struck right on the top of that.
It sent shock waves down through the vehicle.
What it did, it popped a breaker in the Command Module between the
inertial measurement unit and the computer doing calculations. Basically
what happened is the Command Module equations that we wrote to propagate
the state forward in time weren’t getting the measurements of
the engine thrust, because that’s what the accelerometers measure.
When the Saturn V was on the pad, the inertial measurement unit is
running. There’s a [sensor]—it’s called a pulse
integrating pendulous accelerometer.
You remember when [boys hung] a pair of dice from the rearview mirror?
… When you hit the accelerator, the dice move. They move because
the acceleration or the thrust. That’s what these do. They’re
little wheels. They have a weight on one side, and if you’re
sitting in the room, that wheel, if the weight was here, it would
try to roll like that so the weight would be down.
When it tried to move, it set up a [current] in an electric motor
winding, so it sensed that it was being rotated, so it would send
a pulse to send it back. Every pulse that it took to send that wheel
back to its normal place was worth 1 centimeter per second of change
in velocity.
When you’re sitting on the pad, the Earth is pushing up on the
vehicle, and the accelerometer is measuring that. Newton’s law
says you’re falling toward the center of the Earth at 1 g. When
you’re falling at 1 g and you’re being pushed at 1 g and
they equal out, you sit there.
We took off, and the Earth is pushing, and then you add the Saturn
V’s millions of pounds of thrust, and the accelerometers were
sensing that. They said, “Okay, we’re lifting up, we’re
lifting up, we’re lifting up, we’re walking away.”
Pow. Lightning strikes. The breaker disconnects the IMU from the computer.
The computer kept running and kept downlinking. But it wasn’t
getting any IMU data.
What Bill Robertson and I saw on our console was the state vector
go up to about 300 feet and then it started dropping. It was dropping.
We thought the vehicle blew up. It’s falling back to the Earth.
… The calculation kept going. Newton’s law was dropping
it to the center of the Earth. We got a divide by zero and the whole
system went belly-up.
Fortunately, during launch the Command Module computer had nothing
to do with guiding the vehicle. The Saturn third stage S-IVB had a
computer in it that was built by Marshall [Space Flight Center, Huntsville,
Alabama] that basically took us to orbit. We didn’t use the
Command Module computer until we got on the way to the Moon. It was
just there for a backup, but Bill and I thought the vehicle had crashed
and blown up. Our software wouldn’t work. It said divide by
zero. We’re crazy. We were just looking at numbers. We didn’t
have a view.
Of course then I heard CapCom [capsule communicator] talking to the
crew and they were go for TLI. Something’s dreadfully wrong.
Turned out they found out what it was. Popped the breaker. Put it
back online. Did the translunar burn right on time and went to the
Moon. That’s my Apollo 12 story.
Ross-Nazzal:
That must have been a huge relief when you heard the crew talking
to CapCom.
Cockrell:
Oh, it was.
Ross-Nazzal:
I imagine.
Cockrell:
It was. Apollo 13, I was home, about 10:30 at night. They were on
the way to the Moon. They had done the translunar injection burn.
I get a call from my Branch Chief Jim McPherson, probably about 10:30
at night, said, “You got to come in.”
I had been watching it on TV. I knew that they had an event. I heard
them say that they had. I didn’t know what it was. I got out
there. I didn’t go to the Control Center. I went to my office
because they wanted me to run some software.
What had happened, the oxygen tank blew up. A heater in it malfunctioned
and caused it to blow up,; the oxygen tank blew up. When it blew up,
there was a lot of ice particles that were in the vehicle that were
floating around in the vehicle. When Jim [James A.] Lovell and Fred
[W.] Haise got into the Lunar Module, they powered down the Command
Module because they didn’t want to use the batteries anymore.
The oxygen tanks were fuel cells that made electricity for the vehicle.
All they had was batteries now in the Command Module, so they turned
everything off, moved into the Lunar Module, two guys did, Lovell
and Haise.
They powered the LM up, pressurized it. They were in suits of course.
They got it up. It’s inertial measurement unit had not been
aligned, so they had to align it. Jim Lovell looks through the sextant.
All he saw was millions of particles. He couldn’t see stars
because there were ice crystals floating.
What they asked me to do—I told you earlier that I created these
positions of the stars in the computer. They were stored in the computer.
We also had the ability to put in the computer what’s called
a unit vector, which was the location of the Sun and the location
of the Moon at any given time. I came and I calculated those positions
at a future time about 45 minutes in the future, created those numbers,
and we uplinked those numbers to the computer.
What they were going to do if they had used it, Lovell was going to
shoot a sextant on the Moon and the Sun. You have to have two stars
to align the platform, so he was going to shoot the Sun. He had a
filter. He put the crosshairs on the Sun, put the crosshairs on the
Moon, took the mark. That gives you a crude alignment. It’s
crude because the Sun extends about a half a degree of space. Even
if you get it right in the center you’re not like a star. A
star is a point. They were going to do a crude alignment, align the
platform, do a little burp with the engine to fly away from the ice
crystals, and then do a fine alignment.
It turns out by the time my stuff got up there, they had found another
way to get it done. I heard him say, “I see Canopus.”
Which is a star he knew and could identify. He went ahead and shot
stars. What I did they didn’t use.
But my star charts got used, not for stars. The way they scrubbed
the air in both vehicles is they had a thing called lithium hydroxide.
What lithium hydroxide does, the crew breathes oxygen, the vehicles
had pure oxygen. When they breathe oxygen, they exhale CO2. If you
keep doing that long enough, you’ll get nothing but CO2 and
you die. You got to scrub it.
The way they scrubbed it, they had a thing called lithium hydroxide.
The cabin air was sent through a filter which was embedded with lithium
hydroxide, and the lithium hydroxide reacts with the carbon dioxide,
basically takes the carbon out and passes oxygen through. It scrubs
the carbon dioxide out of the air and gets it back to more oxygenlike.
The canisters that were in the Lunar Module were different size than
the canisters in the Command Module. They didn’t have enough
canisters in the Lunar Module to go six days. What they did, a guy
named John [W.] Aaron came up with the idea of making ducts out of
the crew charts. They took crew charts that were nonflammable plastic
and made tubes, taped them with duct tape, and they arranged where
they could get the cabin air to go from the Lunar Module through the
canisters in the Command Module and back into the LM. They used my
star charts for one of those tubes. That was my contribution to Apollo
13.
Ross-Nazzal:
That’s funny.
Cockrell:
I computed the state vector to the Sun and Moon, which wasn’t
used. My star charts weren’t used, they were used for ductwork.
But the crew survived. We got them back.
I guess the flights 14, 15, and 16 were fairly uneventful for me.
Everything worked fine. We had no problems. I remember watching John
[W.] Young kick a million-dollar experiment’s wires loose. They
set up this box on the Moon. He’s walking around. He pulls out
a bunch of little wires and destroyed it. I remember him saying, “Oops.”
There’s another story I guess I can tell. If you want to edit
it out later you can.
Ross-Nazzal:
That’s your call.
Cockrell:
I’ll say it. We can decide.
Ross-Nazzal:
Okay.
Cockrell:
John Young and Charlie [Charles M.] Duke were in the LM, and they
did about three different EVAs, extravehicular walks, on the Moon.
They went out and did a walk, came back, got in, repressurized, then
they had a sleep cycle.
One night they were in the LM. They had repressurized and taken their
suits off. The normal downlink that’s supposed to be suppressed
got out to the press. I have a copy of it at home. John Young is talking
to Charlie Duke and he says, “Charlie, I got the farts again.
It’s that goddamn Gatorade.” They were worried about the
crew getting low on potassium, so in the suits they had a little tube
from the backpack, and they had Gatorade. If they got thirsty they
would reach over and suck on this tube and get Gatorade. Young was
convinced that that was causing his gas problems. Charlie didn’t
say much. He said, “Yes, okay.” That’s my Apollo
16 story that I remember. I wasn’t much involved with [it].
I don’t know if you want the Internet to have the word fart
on it or not.
Ross-Nazzal:
Oh, no, that’s perfectly fine, if you’re fine with it,
I think it’s okay.
Cockrell:
A lot of people know that story, so it won’t be disputed. There’s
a teletype downlink that people have.
Ross-Nazzal:
Yes, I was going to say that sounded familiar.
Cockrell:
You’ve probably heard that before.
Ross-Nazzal:
I have. I think somebody told me it was orange juice, some other people.
Cockrell:
It could have been. He may not have said Gatorade. It was something.
It was a mixture. It was like that. It was pumped up with potassium,
a fruit drink. Apollo went fine. I don’t remember anything happening
after we got to going. I do remember Bill [Howard W.] Tindall who
was in charge of the software. We used to have these software control
boards, and every mission we would go, “We got to change this,
we got to change that.”
The computers were hardwired. They were called ropes. They actually
hired women who had small fingers. They worked at Raytheon, and they
were former seamstresses. They sewed for a living, and they got the
job. They called it weaving. They would take a wire and connect it
at two points in this battery of network. To change the software you
had to move those wires around. Like on Apollo 11—another story
I didn’t tell about 12.
After Apollo 11, we thought we had a better knowledge of the lunar
gravity model, so we put together a change to go change the gravity
model in the Command and Lunar Module. I remember that was between
July and November we did it.
Ross-Nazzal:
Yes. Short time.
Cockrell:
We did it. We figured out the code, changed the constants, put the
code together, they programmed it, verified it with their verification
system, and it went through. We flew it. In the last years I was working
on the Shuttle, it took one year to make a change to the computer
software in the Shuttle.
Bill Tindall was in charge of this board that decided whether we were
going to do those things or not, and I was in a division called Mission
Planning and Analysis Division that had an advantage because he was
our deputy division chief, so we could go see him ahead of time and
do an end around. This guy named Baxter Clifford and I went in with
our code that we had checked out, and we said, “Bill, we want
to change the gravity model in the Command and Lunar Module software.”
It was called COLOSSUS and LUMINARY. Command Module software was named
COLOSSUS, and the Lunar Module software was named LUMINARY.
Bill, he’s a really personable guy. He’s the best boss
I ever had. He looked at me and he said, “Butch, I thought Newton
did that 200 years ago.” I said, “Changed the gravity.”
But he laughed, he knew what it was. He had already been prompted,
so he approved it.
As we were working up to Apollo 15 Bill Tindall told everybody, “Boys
and girls, this is the last set of ropes we’re going to make.
We’re going to fly 16 and 17 with the same ropes that we fly
15.” Everybody went, “Oh my God, you can’t do that.
We’ve got all these special things we need to do.” He
held to it. He held to it. He basically laid off Raytheon, and we
flew the same code.
There was a thing called erasable load, which is E-memory. That was
the kind of stuff I used, like on Apollo 13 when I sent up those little
vectors to the Sun and Moon. That went up in the erasable memory of
the computer. But you didn’t change the basic core memory because
that was hardwired. They had a little of that that he approved, but
nothing else. Then we flew the same software for three years.
I remember that as being risky days. I came into work the same month
that MA [Mercury-Atlas]-9 flew, the last Mercury flight, [M.] Scott
Carpenter’s flight landed about two weeks before I hired on.
I basically missed Gemini because I went to the Army. By the time
I got back Gemini was over and we were getting ready to fly Apollo
7. I was gone during the Apollo 1 fire.
I remember when John [H.] Glenn went up—this isn’t my
experience, it’s stuff I read. John went up on a Mercury-Atlas
for his flight. Six months prior to his launch Mercury-Atlas blew
up on the pad. They put it together, put him on top of it.
Gemini 6 and Gemini 7 was a rendezvous, and they launched two Geminis
days apart. One vehicle was already up there. I remember Wally [Walter
M.] Schirra and somebody else were on the pad. It was a Titan. The
engine lit and then shut off. They’re up on the top. There’s
an escape system but they don’t trust it. There’s a ring
that Schirra could pull. It would pop the vehicle off, but the power
to that was coming from the ground power system.
Gemini has a timer. The first stage burns for a certain amount of
time, and when it lights a timer starts running in the vehicle. When
that timer gets to the end it blows some explosive bolts and separates
the stage. It’s the timer. The timer was running. They’re
sitting on all this kerosene, and if the timer goes off on time, it
blows the vehicle up. They said, “Cut the power.”
They cut the power, which stopped the timer. But then someone said,
“No seats.” Because if he didn’t have power he couldn’t
pull the escape ring. They basically made a choice, no power, we’re
not going to blow the thing up. They sat up there for a while. They
brought the gantry back out. They climbed out, went down the elevator,
went back to the motel. Seventy-two hours later they lit that vehicle,
and it went up to orbit. That would not happen today. It would not
happen today.
Ross-Nazzal:
Why do you think that’s the case? You mentioned the same thing
with Shuttle. Taking so long to make decisions about software changes.
Cockrell:
One of my experiences in my life was when Mission Planning and Analysis
Division died—or it was basically just killed by a manager at
NASA—I got sent to a division called System Engineering. It
was an experiment that didn’t last but about two years.
There was an engineering director. What was his name? He’s an
old guy from Hallettsville, Texas.
Ross-Nazzal:
I think you said it was Henry [O.] Pohl.
Cockrell:
Henry Pohl. Henry Pohl was the directorate chief. He decided that
we needed to have a System Engineering Division because the Shuttle
had gotten built and it didn’t have really good system engineering.
He gave us an example. There’s a thing called a flash evaporator
on the Shuttle. What it is, after you get to a certain altitude, you’re
cooling things on the Shuttle by boiling ammonia, but you can’t
do that forever.
When you get to orbit, they have a thing called a flash evaporator.
They pump water through all the systems that make it get hot, like
the avionics, and it gets warm, and it goes back to this flash evaporator.
The flash evaporator basically opens a door and lets this hot water
basically vaporize. It goes out in space.
The flash evaporator was located in the very center of the bay back
by the engines. It was about 4 feet from the wall. There was this
tube that went to the wall. When it flashed, the tube froze, iced
up. If it iced up enough it couldn’t flash.
The way they solved that problem is they wrapped a coil around it
and heated the tube. You were getting rid of heat with the flash evaporator,
but you were sending it through a tube that had to be heated to get
rid of the heat. Henry Pohl said, “The way you solve that problem
is you move the flash evaporator right next to the wall.” But
they didn’t think of that, because it was not system engineering.
Long story short, one of the things I learned in system engineering
was a phrase called better is the enemy of good. You may have heard
that before or other people may have said it.
Modern engineers have so much computer capacity, so much capability
to study things analytically. You’ve probably heard of the programmer
that says, “I want to make one more test. I want to make one
more run. I got a bug somewhere in there. I got to find it. I’m
not going to release my software yet because I got to make it perfect.”
I think what happened as the Shuttle came along, the Shuttle started
out with this mentality of we’re going to have a redundant everything.
We’re going to have three of everything. Nothing can ever fail.
Shuttle would fly a perfect mission. Nothing would go wrong. All the
systems are being monitored during the whole flight. I remember Jay
[H.] Greene one time saying that when the Shuttle landed at Kennedy
[Space Center, Florida] after a perfect flight with no anomalies in
any of the subsystems, NASA declared the vehicle unfit for flight.
They really did.
Ross-Nazzal:
How was that?
Cockrell:
Every subsystem, they took it over to the Horizontal Processing Facility,
and every subsystem manager, the IMU guy, the star tracker guy, the
computer guy, the hydraulic pump guy, all went out there and they
had to take it apart, look at it, study it, and put it back together.
It took months to fly the Shuttle again. Even though it landed, its
software told you everything was working fine. We could never get
past that point of overchecking everything. I think the Shuttle software
was the same way. They decided change is a bad thing to do. If we
change something we got to be damn sure that it’s right. We
got to check, check, check, check, check everything we do over and
over and over.
Whereas in the earlier days, something broke, they thought they figured
out what it was, and they went out and did it again. It was more risky.
I think it’s probably less safe.
John Glenn’s flight was probably less safe than any of the Shuttle
flights in terms of risk, probability of stuff like that happening.
Ross-Nazzal:
Speaking of computers, you were talking about the computing capability
at that time. You were using mainframes. Can you talk about how you
came up with this idea and how you used those computers? I know for
instance you guys had cards. Which is very different from today. People
just use PCs [personal computers] now. Some people just use a tablet.
Some people might be interested in learning more about how all of
that worked. How did you get the cards ready and submit them, and
how long did that whole process take?
Cockrell:
Apollo, after we got going, it was pretty rapid. Of course we had
a lot of prep. I was working on the onboard software for Apollo in
1963. We were building the Apollo Control Center computer. At that
time the Control Center was in Florida. They flew Mercury out of a
Control Center in Florida. Basically they had a big contractor that
did their nav and their propagation stuff.
We were building stuff for the first time. In the building I was in
up there on the Gulf Freeway we had a computer called a 1620, and
it was about as big as this table in a room. It used punch cards.
The way we programmed computers, we had a coding sheet, which was
a green piece of paper about this long. It had a little place over
on the left-hand side where you could make comments. Then you had
a number. Programs in those days, you had a number, one two three
four five. You may say, “At three go to five.” Five was
a code.
It had 80 columns, and we wrote the code into the sheets. Then we
gave them to these math aides. We had a group that was a section in
Math Physics Branch. These women keypunched the cards. They would
take these coding sheets. They had a keypunch machine, which is like
a typewriter, and they would type our code into the machine, and the
card would get fed in. It would punch holes in the card at the right
place for that code. Then we would take that program and put it into
the card reader and run the program.
We had a printer in the room. Your output was a print. We had to sign
up for it. One person at a time could use it. We’d go there,
and you’d sign [up]. I want to have the computer at eight o’clock.
So we worked a lot of funny hours then, because I remember the mentality
was we were fighting with Russia. Russia was the enemy. They scared
the hell out of us with Sputnik, and we were going to beat them to
the Moon.
I remember our big computers, the 7090s, were over at the University
of Houston in the building where Channel 8’s studios are now.
There’s a big field next to that facility, and we would go over
there on Saturdays to run our programs. We would go in and submit
a deck, and it took maybe an hour, because there was so many of them.
We would go back out on that lawn and play football. I remember me
and Emil Schiesser and Jim Blucker and Ivan Johnson would go out there
and play flag football and then go in and check our runs on Saturdays
because we could get more turnaround on our runs.
The onboard computers, you have more capability in your iPhone than
the onboard computers had. We had in my office in the Houston Petroleum
Center Friden calculators on the desks, mechanical Friden calculators.
They were electric, but you could add, subtract, multiply, divide,
things like that on the Friden. We did a lot of that offline.
We had a computer at one time in Building 30 that used punched paper
tape. That’s how I got data from Marshall. Marshall would send
me the heating timeline for the S-IVB. They sent that on a paper tape.
I’d have to take that paper tape and convert it to a card and
then put my software in to calculate what the vent thrust was going
to be and what level it would be at what time, during that Earth orbit.
I remember this guy Bill Lear showed up one time from California.
He was stationed in California at TRW for a long time. He flew in
one day, and he had a Hewlett-Packard HP whatever the first one was.
Ross-Nazzal:
Wow.
Cockrell:
By that time we had calculators that could add, subtract, multiply,
divide, but they didn’t have science functions. He had an HP
calculator that cost about $95, which is way expensive for most of
us, that did math, trig, logarithms, sine, cosine, tangent, all this
stuff. He showed it around, bragged about it. TRW had bought it for
him. It wasn’t long before we got—I probably got one of
my promotions because I got involved with small computers in the ’80s.
I bought an Apple II+. Apple II+ used—they were called floppy
disks. They were really floppy. They were about this big, and you
could bend them. It was a magnetic thing. It had a hole in the middle,
and you put it in the Apple II+.
Before there was Excel, there was a program called VisiCalc. I coded
software in BASIC on an Apple II+. Using VisiCalc and BASIC software,
I did the treasurer’s report for my church. I sorted pledge
units. That’s when I remember I got mad at women who used a
different last name than their husband, because a lot of times in
the church the pledge unit would be Brenda and Butch Cockrell. I could
find Cockrell, and I knew that pledge unit.
Some of the women had kept their maiden name, but they were married.
They pledged different. If they pledged different, it didn’t
matter, because they would be two pledging units, the husband and
wife would pledge different. But if they pledged as a couple, I couldn’t
sort on both their names because they were different. So I had to
write special code to do all that.
But my division chief, who was a guy named Ed [Edgar G.] Lineberry
found out about that, and he started having me do things at work on
early Apple computers that we only had two or three of in the division.
I got one of the first ones. He took me out of Math Physics and put
me in a little staff office next to his office to basically do that
kind of stuff for him.
Then it wasn’t long before we populated everybody with computers,
and by the end every engineer had a computer. I remember my engineers,
I had a guy named Jerry Condon working for me. He complained to me
one day. He said, “Butch, you got to upgrade my computer.”
I was the branch chief. He says, “Let me show you something,”
and he goes to his computer. I’m standing behind him. He says,
“Okay, watch this. I want to update this trajectory.”
He goes enter. It goes poof. It’s like 4 seconds. He knew somebody
at IBM that had one that he would hit it, and it would be there. He
said, “We’re behind.”
I was thinking back when I was playing football next to the computer,
running inside, with punch cards, waiting for 2 hours to get my run
back so I could check something and submit it again. My engineer is
complaining about the delay time in updating a trajectory on his desktop
computer. It was in his room in front of him.
I also found out something interesting. I encouraged my engineers
to write papers, and I noticed one day that all my old engineers’
references were old references. They’d go all the way back to
the ’50s and ’60s and reference papers and documents.
My young engineers never referenced anything prior to about 1986.
I discovered what that was.
My young engineers didn’t ever go to a physical library, they
only used references that the Library of Congress had converted to
digital. If a paper had been written after 1986 it was probably stored
in the archives in the computer. But Isaac Newton’s paper in
17 so-and-so hadn’t been copied yet into there. My young engineers
never referenced things that they couldn’t get to at their desk.
My old engineers would go over to the library and pull it out and
look at it, like I did. We had card catalogs. We’d go to a card
catalog and find the name of the book and then go find it. It’s
different. It’s passed me by. …
A lot of the stuff that we did, we didn’t want the computers
to have to do, so we tried to find ways that the computers were less
stressed. Like I was saying, we would take big steps if we could on
flat functions, and we’d take small steps when we had to.
This is sort of complicated. Whenever you propagate an orbit around
the Earth or around anything, you model stuff. You model gravity,
you model drag, and things like that. A guy named Kepler figured out
something back in the 1600s. It’s called the two-body problem.
If you have a central body with gravity field and you have a vehicle
in orbit, he came up with the math equations that could tell you,
if you know where that particle is at some time, what its position
and velocity is, he can tell you where it’ll be at any other
time analytically. In other words, it’s just like solving an
equation. You punch in time and you get XYZ. It’s perfect, makes
no errors.
The problem is orbits aren’t two-body. They start out being
like that, but then gravity messes them up because it’s not
central perfect gravity, not spherical gravity. There’s drag,
and there’s the gravity of the Moon, the gravity of the Sun,
the gravity of Jupiter, all these things happening that affect it.
We came up with a scheme that summer that I was working there called
the Encke. One way you can do the problem—and I told you about
numerical integration. It’s when you take a function and you
take little bitty steps along the way. The change in x causes a change
in y. You’re plotting a two-dimensional curve. It’s in
x and y. You take a little bitty x, and what does that do to y? If
the function is smooth you can take big steps and not make errors.
If it’s curvy you got to take small steps.
The Encke scheme said, “Let’s take the two-body part and
solve it analytically.” What I do is I say, “Okay, I want
to propagate my state ahead from here to here.” I do the two-body
first analytically and I get a perfect answer, if it had been a two-body.
Since it’s not a two-body there are perturbations through the
two-body, so the only thing we numerically integrated was those changes
to the two-body. The two-body is 95 percent of the mathematics of
the motion, and the small percent that’s not two-body we did
by taking these little bitty steps.
They were small numbers, because drag is small. The changes to gravity
from the central gravity is tiny, compared to what the central gravity
is. That saved time.
But now computers are so fast and so sophisticated that my engineers
now, they can run a trajectory to Mars and back in seconds and conclude
everything. They don’t bother separating the two-body part from
the perturbation part. They just numerically integrate everything,
because the computer has got so much memory and so much CPU capacity
that it’s just simpler. In fact it allows mathematicians to
be lazier, because you just code up an integrator and say, “Run
a code, a fourth-order integrator, and make the step size a half a
second, and go,” and it’ll do it.
A lot of the problems we solved too were guesswork. What you would
do is we had a thing called an iterator. Let’s say we wanted
to get to the Moon, and we wanted to hit a target behind the Moon
at 60 nautical miles so that when we got to the Moon we would be 60
miles above the Moon.
We’re at the Earth. We’re going to light an engine, and
the engine is going to produce 3,400 meters per second of change in
velocity. We’re going to take off. You don’t know everything
perfectly, so you guess. I think it ought to be this. You get there,
and you’re 90 miles [out]. So you go back and you change a little
bit of this. There’s a formula for changing it, and you iterate
on this difference.
What happens is you shoot a trajectory out there, and it’s off.
You try it again, and you keep correcting, and making it better and
better and better and better and better, until you get down to some
threshold of what you want. That’s called iteration, and that
can be done very very well.
In the Apollo Program, the onboard computer had the capacity to compute
a trajectory back to the Earth. If they were at the Moon and they
had to do a burn, and the ground communication was gone, they were
by themselves, the onboard computer could calculate the burn you needed
to do at the Moon to come home, and it did it by iterating.
It would have to take the trajectory, guess a burn at the Moon, and
hope it came back and hit a corridor at the Earth where the trajectory
was such that you hit the Earth at the right angle. That took 10 minutes
per iteration in the onboard computer. If it took five iterations,
it would take an hour. You’re stranded at the Moon, and you
got to run the computer for an hour to get a burn time and a burn
direction. Probably wouldn’t have worked. They would have probably
had to come home quicker.
The other thing we did in Apollo is we knew we couldn’t get
it right, so we had midcourse corrections. We shot the thing to the
Moon with the translunar injection burn, and then we tracked the vehicle
as we were going. As we get about a day out, we say, “Well,
let’s see. We’re a little off.” So they did a midcourse
correction. They would burn a small engine just a little bit and get
back on track. They did that going out and coming home.
There was an error in the movie Apollo 13 that I caught. When you’re
coming back to the Earth from the Moon, there’s a thing called
the entry corridor. You probably heard entry guys talk about this.
You’re coming back to the Earth. The Earth has an atmosphere
around it. If you come straight in, you’ll burn up and crash.
If you come in too shallow, you’ll hit the top of the atmosphere,
and you’ll go on by. There’s a little corridor that the
velocity vector has to be pointed at the Earth so it’s not quite
tangent to the Earth but just a little bit off tangent so that it
hits it at this angle. It’s only about a half a degree of flexibility
there. That’s all based on the trajectory, nothing to do on
board the vehicle.
During Apollo 13, they’re coming home, and they’re moving
things around in the Command Module. There’s another property
of entry. The Command Module is a cone-shaped thing, but the center
of gravity is not at the center of the vehicle. It’s offset.
When it gets in, if the heat shield is flying along the velocity vector,
there’s a little bit of offset gravity, which causes it to have
lift.
You can take this vehicle, and you can bank it around like this. If
you’re coming in too steep you can point this lift vector up
and you’ll raise the trajectory a little bit. If you’re
coming in too shallow you can point it down and steer down. That’s
how the guidance works in entry. It guesses where it ought to be at
any time. It says, “I should be getting this accelerometer measurement
at this time. If I’m getting too much acceleration, that means
I’m deeper in the atmosphere than I thought I would be, so I
steer up. If I’m not getting as much acceleration as I should
be getting, I must be too high. I steer down.”
That’s based on things in the vehicle. In other words, to have
that gravity offset, you have to move material away from the center.
While they were coming home, they were moving things around in the
Command Module and in the lockers to keep the c.g. offset, because
they thought they were going to bring rocks back, and they didn’t
have any rocks. They had to move cameras around and stuff like that.
They’re doing all this, and some guy on the ground says, after
they move stuff around, “We’re back on the corridor. Moving
stuff around in the Command Module doesn’t change the trajectory,
which is what defines the corridor. That changes the lift capability
of the Command Module when it gets in the atmosphere. It’s called
the L/D, the lift-to-drag ratio.
I can say a little bit more about mission planning. When we went to
the Moon, some examples of things mission planners have to deal with.
I am prejudiced about mission planning because that’s where
I lived most of my life. I started working for John Mayer from the
get-go, and he was the mission planning guy from Langley.
NASA had three kinds of organizations. They had engineers who built
stuff and bought stuff, the physical stuff. They had Mission Operations,
who flew it. In other words, they were the ones that knew how to fly
it, what to do during the flight. Then they had Science Directorate.
The Science Directorate basically did science and human factors, stuff
like that, and analyzed the rocks.
We had engineers, we had operators, and we had science. What MPAD
did, MPAD was in the middle. We were the bridge between the operators
and the engineers. For example, if we were going to build something,
how big an engine do you need to kick yourself to the Moon? That’s
what we did. We said, “Here’s the delta-V you need to
produce in Earth orbit to get to the Moon.” It’s 3,400
meters per second, say. The engineers knew then that they had to buy
an engine or build an engine that could produce that much change in
velocity with that much mass, Command Module, Lunar Module, S-IVB.
When we got to the Moon, the crew wanted to land with the Sun behind
their back. The reason was they didn’t want to look at the Sun,
and they wanted the Sun to create shadows. If you landed at the Moon
at noon, everything would be washed out and white, couldn’t
see shadows. You don’t want to land at night, all you’d
have is earthshine for seeing. They picked an angle of 13 degrees.
They wanted to come in such that the Sun angle was 13 degrees from
the east at the Moon, which produced the right kind of shadows.
Then we had to pick when do you leave the Earth. For one thing, the
Earth is rotating like this. The Moon is going around the Earth. You’re
at the Cape [Canaveral, Florida]. You got to wait till the Cape rotates
around and gets in the plane of the Earth-Moon trajectory. The Earth-Moon
is in a plane. You launch from Kennedy in a window of time that allows
you to steer into the plane of the Earth-Moon system. If you launch
at a different time, you’d have to do a huge plane change maneuver,
which are very expensive.
You got to calculate what day you can launch in a window of days so
that when you get to the Moon, if it takes you three days to get there,
the day you land, Sun will be shining on the Moon at 13 degrees.
The other thing we did, it was all fortuitous I guess, because of
that we chose to go retrograde, which means that the orbit that the
Command Module and the Lunar Module were in when they were going around
the Earth was opposite the Moon’s rotation. On the Earth, the
Earth rotates toward the east. If you’re at the Cape, when you
launch from the Cape, if you launch due east out of the Cape, you’re
already moving 1,400 feet per second because the Earth is rotating
at that rate.
If you were to launch from the Cape and fly back toward Texas, it
would take more propellant and a bigger engine because you’re
going retrograde. You’re going against the Earth’s rotation.
The Moon doesn’t rotate very fast, so it wasn’t a big
deal. But by going retrograde, we could land from east to west, with
the Sun behind our back.
The other good thing about it was when we got there, the Moon is going
around the Earth, [from east to west. As viewed from the Earth. We
arrive coming from west to east and] get captured by the Moon [after]
a burn. You capture yourself, so you’re in [a retrograde orbit
going east to west].
When I get ready to leave, the Moon is going [west to east]. When
I get ready to leave, I do a burn [on the backside of the Moon] that
is a retrograde burn with respect to the Moon’s motion. …
When I leave, when I do a burn that slows me down at the Moon, I’m
taking energy out. I’m basically tied to the Moon and the Moon’s
orbit around the Earth. To come home, I need to slow down, so I do
a burn against the Moon’s direction of motion, and [at the same
time] that causes me to [escape from] the Moon. Not only do I leave
the Moon because I’m pushing away from it, but I’m slowing
myself down with respect to the Moon’s orbit with the Earth,
and I come back, fall back to the Earth. That’s what we did.
That’s what we figured out.
The last 15 years of my career I was a branch chief, and it was basically
what was left of mission planning. It was in the Engineering Directorate,
but I had engineers that were doing mission planning. We worked with
Doug [Douglas R.] Cooke and others on doing advanced missions, planning
missions to go back to the Moon, go back to Mars, and do things like
that. In fact my branch is still doing that. They’re working
on these asteroid missions and this lunar space station, these halo
orbits at the Moon. Fascinating stuff.
Ross-Nazzal:
What were your hours like when you were working? Then you got married
when you came back. What was that like?
Cockrell:
It’s amazing. I loved my job so much that I remember getting
up and wanting to go to work. I remember thinking about work at home
a lot. I brought work home a lot. I was young. When Apollo 11 landed
I was 27. I coached Little League teams. I coached girls’ soccer
teams. I had a darkroom at home, I had a photography hobby. I was
the star guy for Apollo, so I got interested in stars. I had a telescope,
and I would get up at three o’clock in the morning and go out
and look at a certain star that was up then.
We went camping every spring with the kids. I was active in my church.
I played softball on a softball team at NASA. Math Physics had a team
called the Bandits. I generally got to work about 8:30, and I stayed
till about 5:30. I’d go in a little bit late. There was a disadvantage
to that in that you didn’t get a good parking place. There was
a gravel lot across the street from Building 30, and I had to park
over there nearly all the time. Most of the guys in Math Physics except
for Emil, me and Bob [Robert T.] Savely and all my other buddies,
we would get there about 8:30, but we’d stay late.
Of course when we had a splashdown party, we partied. We partied.
We used to have a party before every Shuttle flight and after every
Shuttle flight. We’d go out to the Gilruth Center and drink
beer.
There’s a bunch of things that had to get loaded on the computer,
all this software that we were responsible for. All that got loaded,
and it got the final check. We were done, so we’d go out to
the Rec Center, and somebody would buy hot tamales and beer and we
would drink beer and then go watch the flight.
I remember after [Robert L.] Crippen and Young’s first flight
we had a party at my house. I got a keg of beer, and all the guys
in the nav group came over there, and we celebrated the first Shuttle
flight. I had a lot of fun in Shuttle days. We’re probably getting
close to time. I had an ASTP story I could tell you.
Ross-Nazzal:
Do you want to save that for next time? I got a couple of other Apollo
questions that I thought you might want to talk about.
Cockrell:
Okay, go ahead, let’s stay on Apollo so we don’t break
the trend here.
Ross-Nazzal:
One of the things that you had talked about was the fact that your
engineers were writing technical notes, technical memorandums. I noticed
that you had written several for Apollo that had been released. I
wondered if you would talk about that, and that whole process and
how that worked, being a young mathematician and putting that together,
getting it reviewed, and publishing that.
Cockrell:
One of the things I can say is that we had a lot of help from technical
editors. I remember there was a woman. This is kind of a sad story
about women. There was a woman named Cathy Osgood who went to Virginia
Tech [Blacksburg], graduated with a math degree. She got hired by
Langley but they told her she couldn’t be an engineer because
she was a woman. They said, “You’re a math aide.”
It probably wasn’t until in the ’70s that she got in the
engineer track. Like I said, we had math aides that keypunched the
cards, read the coding sheets. We also had technical editors. We would
write our papers in script, ink pens. We had secretaries. The branch
had two secretaries, and I remember probably during Apollo they had
IBM Selectric typewriters that had a little ball. The ball had little
letters on it.
This ball would do that. Each key, the ball moved around. It was electric-assisted.
The secretaries would take our stuff, and they would come back and
say, “I can’t read this word.” They would type it
up, and they would give it to us. They issued us these pens that had
red lead on one end and black on the other. You could go in there
[and edit].
I remember Emil was my section head. Every time I would write a report
or a paper or a memo Emil had this habit. The way he managed, he would
redo what you did. In other words, you would go in his office, and
he’d say, “Did you do this?” He would go to the
board and he would start thinking here’s what I would have done.
He tells you what he would have done, and you’d say, “Yes,
I did that.”
I remember his habit. When I would walk in his office with a memo
for him to sign, he had to concur on it, he’d reach in his pocket
and take out that pen with the red ink, like he knew he was going
to do something, and usually he did. Usually he would find something
or other.
My favorite story about Emil, about documents. He wrote a memo one
time. Bill Tindall was the directorate chief. One day Bob Savely and
I and Emil went to Bill Tindall’s office for a meeting about
something. Emil had let this slip through him. His secretary, instead
of typing the word mathematical formulation, she typed mathematical
fornication. Tindall saw it. He’s this real human guy, he’s
just the greatest guy in the world. He says, “Emil, I want to
know what this is. Can you explain to me what mathematical fornication
is?” Emil, if you know his personality, he turned bright red,
he couldn’t speak. He was humiliated. It was like the worst
thing that had ever happened to him. We were all laughing.
We would write memos, they would type them for us, and if it was more
than a memo, if it was a technical note or—what were they called?
Ross-Nazzal:
Technical memorandums, TMs?
Cockrell:
TMs and technical notes. Technical notes took a little bit more review.
They were published pretty wide. I think they go in the Library of
Congress. They’re kept. Technical memorandums and technical
notes were a little bit less. But they’re all women, and they
were good at English, and they would correct our mistakes and fix
it for us.
Also, if we had graphs or plots, they were manually done. We didn’t
have pen plotters then. If I ran a program and I created a graph of
something, like maybe the vent force from the S-IVB during the Apollo
11 parking orbit rev, it would be this curve. I would get the data,
and these math aides would get graph paper, they had real good penmanship,
and they would put the labels on there. In fact some of them were
typed and stuck on with little sticky tape. They would draw the curve
with French curves. I’d have points on there, and they would
draw the curve and put the labels on it and make it pretty, put it
in the document. It took a while. You didn’t write a memo or
technical note and have it out the next day. It was two or three weeks.
What I was going to say about women, when I joined NASA, it was called
the Manned Spacecraft Center. Nobody ever even thought, well, so what.
Then they changed it to Johnson. The other thing I remember was in
the Engineering Directorate there was a division called the Manned
Systems Division. They did the seats and the displays and switches,
how the crew interacted with the vehicle. Now that’s called
crew systems.
I remember because a lot of women majored in math and physics, not
so much engineering. In the ’60s, in the Math Physics Branch
when I joined it, there were four women engineers doing programming
and doing engineering work. They were not math aides. But we had 12
math aides.
Ross-Nazzal:
Who were the women engineers? Do you remember?
Cockrell:
There was a woman named Sissy Phillips. Her name was Laura Phillips.
There was a woman named Sue Shafer. She could beat me in tennis. I
thought I was a good tennis player and she just beat me. She was good.
Sandra Yates. This was 1963. Cathy Osgood was not in the Math Physics
Branch. She was down the hall in the Mission Planning Division. She
was an engineer.
Ross-Nazzal:
Her name I’ve heard quite a bit, and we’ve interviewed
her.
Cockrell:
She’s still alive. You could probably interview her. She’s
from Langley. She started at Langley.
Ross-Nazzal:
She’s actually working on a book. She’s working on a book,
she told me.
Cockrell:
She’s working on a book.
Ross-Nazzal:
She’s working on a book, yes.
Cockrell:
I had a lot of respect for a lot of the women I know that—when
I was able to hire, the times that I was able to hire, we could only
hire co-ops, and you could only hire straight A co-ops. There were
so few positions. I hired a woman from Virginia Tech. … [Her
name was Michelle Monk. One of my best engineers. She is still with
NASA at Langley. She went home to be near her parents.]
I had 25 people, and 4 of them were female. Some of the old guys never
got it. I remember one time. We had a meeting that was held before
every Shuttle flight called the aerodynamics panel. All the aero guys—those
are the guys that do the wind tunnel testing and they worry about
the Shuttle when it’s in the atmosphere, when it’s flying.
During launch there’s a concern about you can’t go too
fast too soon because you’ll break things.
If you’ve ever heard Shuttle launch tapes, they have a thing
called throttle up. Challenger [STS-51L] was right after throttle
up that they blew up. They throttled back automatically to get through
the thick atmosphere. When they get to the thin atmosphere they throttle
back up. These guys do all that, they know when to do that.
This old guy hadn’t gone to an aerodynamics panel in months
and years, he was a manager then. He decided one day to go back, and
he gets in there. His engineer told me this story. He gets in there
and he says, “Why are there so many secretaries here?”
Ross-Nazzal:
Oh, ouch.
Cockrell:
They were women engineers.
Ross-Nazzal:
Right, things had changed.
Cockrell:
Who were doing aerodynamic work. He thought there’s a lot of
secretaries here.
Ross-Nazzal:
Oops. I think this might be a good place for us to stop. There’s
more Apollo questions that I have for you. But as long as you have
time to come by and do some more sessions.
Cockrell:
Sure, yes.
[End
of interview]