When
one of the Apollo spacecraft blasted off it went into
a parking orbit around the Earth. This was generally
a circular orbit. They stayed here until everything
could be checked out and the time was right for the
next move.

(Courtesy DOD/NASA)
When
everything was ready, they fired up the S-IVB engines
and went into a translunar orbit. Translunar was just
a fancy way of saying that they were on their way to
the Moon! A translunar orbit is also a cislunar orbit,
but a transearth orbit is also a cislunar orbit. I guess
they needed to use this word so everyone would know
they were headed to the Moon, and not somewhere else!
Cislunar means between the Earth and Moon. Now a lot
of things happened in the translunar phase of the mission.

(Courtesy DOD/NASA)
After
they were on their way to the Moon the next thing that
happened was to separate the CSM from the rocket and
then to turn around and dock with the Lunar Module.
The combined CSM and LM was then separated from the
S-IVB.
   
(Courtesy DOD/NASA)
What
happened next depended on which mission we‘re
talking about, on a few of the Apollo missions the S-IVB
was sent crashing onto the Moon. On all of the other
missions it was sent into a Solar orbit, (except for
one time when it went into a cislunar orbit), by pointing
it to pass the back side of the Moon. The Apollo 8 Orbital
Plan shows this clearly with the dotted line.

(Courtesy DOD/NASA)

I
can’t convey enough that every object including
debris that was sent on its way towards the Moon continued
in that path except as acted upon by one or more of
the natural forces listed above, or by a rocket engine.
The fate of each object is for another part of this
chapter.
After
the CSM/LM was heading for the Moon in the translunar
orbit it continued in that path except for minor course
corrections, gradually slowing down because it was being
pulled back to the Earth by the Earth‘s gravity.
When
the craft reached the neutral point, where the gravity
field of the Earth and the Moon was equal it started
to accelerate towards to Moon. Every other object heading
out to the Moon also reached a neutral point somewhere
in its travels.
The
CSM/LM now was heading to a point on the leading edge
of the Moon. If no further action was taken then the
craft would go on by the Moon. But the purpose was to
go into an orbit around the Moon, right? So what they
had to do was to turn the spacecraft around so the rocket
engine was pointing in the direction of travel and fire
it for a few minutes, slowing down the spacecraft.

(Declassified Apollo 11
document, Courtesy DOD/NASA)
This
put the spacecraft into an elliptical orbit around the
Moon. On another pass on the back side further maneuvers
would be taken to put the craft into a more nearly circular
orbit.
The
CSM/LM is now in selenocentric or lunar orbit. The CSM
will stay in this orbit until they leave to head back
to the Earth. But the LM will separate from the CSM
and will land on the Moon, except for Apollo 10 and
13. The top half or ascent stage of the LM will take
off from the Moon’s surface and go into a selenocentric
or lunar orbit. It will then join up with the CSM.

(Declassified Apollo 11
document, Courtesy DOD/NASA)
When
they are ready to return to Earth they will fire up
those old rocket engines and go into a transearth orbit
heading home.

(Declassified Apollo 11
document, Courtesy DOD/NASA)
They
only thing needed now is maybe a few small course corrections
to put them in the correct heading to be at the right
place when they reach the Earth. One of the last things
they will do is separate or jettison the CSM and just
the command module itself will make it back to the Earth
with people on board. The CSM will burn up in the Earth’s
atmosphere. Here is a complete mission in one drawing,
Apollo 10.

(Courtesy DOD/NASA)

So in a nut shell that is a description of an Apollo
mission to the Moon. But it would be a little interesting
to talk about some of the more finer details of orbits
concerning the Apollo missions. Mascons, remember them?
Short for mass concentrations. When Russia and the US
started sending spacecraft to the Moon long before the
Apollo missions they noticed that their orbit calculations
were not keeping the spacecrafts in the right orbits
sometimes.
One
thing I forgot to mention is that if you have a homogeneous
body in space with no atmosphere, such as the Moon,
once another body is put into orbit around that body
it will stay there forever. As a matter of fact, the
space junkyard which is near geosynchronous earth orbit,
(this is where they move all of the communication satellites
that have died), will hold the craft in these orbits
millions of years, or forever there. That is because
they are to far above the Earth’s atmosphere for
it to have any effect on those orbits.

(Courtesy DOD/NASA)
But
for some as yet unexplained reason there are huge masses
under the seas or maria on the Moon. What is interesting
is that none of the scientific theories that try to
explain the creation of the Moon and/or the Earth/Moon
system can account for these mascons. I guess that is
why they are called theories. Here is a picture from DOD/NASA showing these areas, (in red).

(Courtesy DOD/NASA)

The
gravity in these areas is so much stronger that a person
would actually weigh about 4 ounces more if they walked
over one of these areas! But the most amazing thing
is that they effect the orbit path of everything going
around the Moon in lunar orbit. As a matter of fact DOD/NASA claims that is
the reason for so many of their spacecraft that have
crashed on the Moon. But other craft have stayed in
lunar orbit for years, go figure. More on this later
in another part of this chapter.
So
what everyone is being told is that you must take along
a lot of fuel for orbit maintenance or just put your
spacecraft in one of the stable lunar orbits, if you
plan on staying around the Moon for very long.
Be
careful of the orbit chosen for a low-orbiting lunar
satellite. "What counts is an orbit's inclination,"
that is, the tilt of its plane to the Moon's equatorial
plane. "There are actually a number of 'frozen
orbits' where a spacecraft can stay in a low lunar orbit
indefinitely. They occur at four inclinations: 27º,
50º, 76º, and 86º"—the
last one being nearly over the lunar poles. The orbit
of the relatively long-lived Apollo 15 subsatellite
PFS-1 had an inclination of 28º, which turned out
to be close to the inclination of one of the frozen
orbits—but poor PFS-2 was cursed with an inclination
of only 11º.
(Courtesy DOD/NASA) |
Computer
simulations now show that there are very few stable
orbit around the Moon. This is not the place to go into
any detailed calculations of spacecraft orbits. For
those interested enough there are levels of expertise
from simple circular orbits all the way up to genius
level, remember Einstein is most well known for his
theories of relativity, and the general theory is about
gravity, space, and time.
Another
strange thing about lunar orbits is that if an object
is about 700km or more miles above the surface then
the gravity field of the Earth will have such an effect
that it is very possible the Earth may pull it away
from the Moon and capture it! There is a constant tug
on all things in space from every large body in our
Solar System. Sometimes nobody knows which one will
win out.
A
word about spacecraft launched into lunar orbit. Most
spacecraft sent to the Moon was put there by rockets
with multiple stages, usually two or more. The first
one or two stages were jettisoned in Earth orbit. Very
early on in the space program it was realized that it
was much easier to hit the Moon if a spacecraft was
put into a parking orbit around the Earth then the spacecraft
was sent on its way with a much smaller rocket to place
it onto a path to hit the Moon. All of the Apollo spacecraft
used this procedure and most of the successful USSR
and US spacecraft sent to the Moon did the same. The
procedure of using a rocket circling the Earth to put
a spacecraft into an orbit to hit the Moon was called
TLI, (trans lunar injection).

But
what happens if an object does not go into an orbit
around the Moon? The Apollo 13 flight gives a good example
of that.

(Apollo 13 drawing showing
the path of the CSM/LM
after the original hybrid transfer maneuver, showing
both orbits.)
(Courtesy US Congress & DOD/NASA)

(Apollo 13 drawing showing
the two paths of the CSM/LM, after reverting
back to the free return, and the original after the
hybrid transfer maneuver.)
(Courtesy US Congress & DOD/NASA)

(A very good drawing showing
a typical Apollo mission
and paths of the S-IVB and CSM/LM)
(Courtesy DOD/NASA)

(Words in red by author)
(This diagram only shows 3 orbits,
but since this is a free return
trajectory the object will continue to orbit indefinitely.)
(Courtesy DOD/NASA)

Some
more thoughts about Earth-Moon orbits, many different
names are used to describe various orbits. Different
countries, people, organizations, documents, etc. sometimes
use different names to describe the same type of orbit,
for instance sometimes “cislunar orbit”
and “highly eccentric orbit” can mean exactly
the same thing, other times it means different types
of orbits. The technical phrase cislunar means between
the Earth and Moon. Therefore an orbit that goes around
the Earth and Moon but never goes between them technically
cannot be a cislunar orbit. So as not to get to technical
in this chapter I am going to use the following types
of orbits in the timeline table.
 |
Cislunar
orbit --- An orbit that takes a spacecraft somewhere
near the Moon and the Earth. It may or may not actually
circle one or both of these bodies. This includes “highly
eccentric orbits.” |
 |
Selenocentric
--- An orbit that circles around the Moon only. |
 |
Orbit
unknown --- I am including these because it is possible
this craft may be in one of the two orbits above. No
definite statements have been made that the craft went
into an orbit around the Sun or that it crashed onto
the Earth, Moon, or Sun. And the craft’s last
known orbit may have been in one of the two obits above. |
Moving around
in orbit is another matter entirely. If you are in your
spacecraft and you give yourself a push with your engine,
what direction do you think you will go? Just faster
in the same orbit? In a higher orbit? Or in a lower
orbit? If you just imagine the Moon is surrounded by
a bunch of invisible spheres each about a foot apart.
There is attached to each invisible sphere a unique
speed and velocity for that orbit. I am talking about
a speed relative to the Moon's surface. The closer you
are to the surface the faster you must go to stay in
orbit. As you move outward from a rotating body, the
relative speed slows down until you will reach a speed
equal to the speed of rotation, and you will be in a
synchronous orbit. Another thing to keep in mind is
that if you give yourself a push into or away from the
Moon you won't keep going in that direction, but you
will just change orbits to match your new speed. Since
the Moon does not have an atmosphere you must provide
all of the continual forces for changing orbits and
landing and taking off. Around the Earth once you are
close enough to be in the atmosphere, it will slow you
down enough to land, but this is not the case around
the Moon.
I
think we have enough basic information about orbits,
there might be a few more specifics later, but only
as it relates to an object or spacecraft. |