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Apollo Discussions => The Hoax Theory => Topic started by: pleasedebunkme on May 22, 2013, 01:14:10 PM

Title: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 22, 2013, 01:14:10 PM
With all due respect and humility, I have two questions: 

1.  Back in 1969, did NASA forget to include the Moon’s orbital velocity when it computed Apollo 11’s return velocity to the Earth?

2.  After the Trans Earth Injection burn, Apollo 11 was traveling at escape velocity with respect to the Moon, and it was also traveling at escape velocity with respect to the Earth, so when and how did Apollo 11 regain its alleged elliptical orbit around the Earth that allowed it to use the alleged re-entry corridor?   

According to the NASA logbook, Apollo 11 was orbiting the Moon at 1,624 meters per second just before the Trans Earth Injection burn that would increase the velocity by 1,000 meters per second, for a total velocity of approximately 2,624 meters per second, which velocity would be relative to the Moon.  The approximate escape velocity while in lunar orbit would be 2,400 meters per second.  The approximate escape velocity when you are orbiting the Earth at the distance of the Moon is approximately 1400 meters per second.   As such, after the Trans Earth Injection burn, Apollo 11’s new velocity of 2,624 meters per second while orbiting the Moon would exceed escape velocity, relative to the Moon and also the Earth.  This velocity of 2,624 meters per second relative to the Moon would translate to approximately 3,624 meters per second relative to the Earth, because the Moon orbits the Earth at an average velocity of approximately 1000 meters per second.  When Apollo 11 started its return voyage at the velocity of 3,634 meters per second relative to the Earth, it was going escape velocity, and it would never slow down to orbital velocity relative to the Earth, which means it was never in orbit, which means the re-entry corridor cannot work.  Why am I wrong?  Where is the flaw in my argument? 

Please note that my reading of various posts under the hoax theory this morning has revealed that this new website forum has become more harsh than the old forum, and much more ad hominem.  Please spare me the insults.  I would just like to focus on the numbers.  Science works better when you focus on the facts.  I am certain that all of you have already given due consideration to the Moon's orbital velocity issue, and you have researched all aspects of the Apollo voyages.  Obviously, I have to be wrong.  But, on the NASA logbooks that are posted online, there is no indication of the Moon's orbital velocity being included in Apollo 11's return velocity numbers.  Please help me figure it out.  Thank you!   
Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 22, 2013, 01:28:49 PM
Two things you haven't considered:
1) The speed is at cutoff of the TEI burn, which is at pericynthion.  From that point, the Moon is pulling it back and slowing it down until it gets far enough away that the weight from Earth is greater and it starts increases its speed towards Earth.
2) It doesn't need orbital velocity with respect to Earth because it isn't entering Earth orbit.  It's going straight for re-entry.

Also, I think you've got your vectors wrong.  The TEI burn was retrograde with respect to the Moon's orbit of Earth I think so in fact the speed relative to Earth is more like 1600m/s, which is about escape speed at that distance.
Title: Re: Please Explain the Velocity Numbers
Post by: scooter on May 22, 2013, 01:44:42 PM
...standing by for some 3 body problem lessons.

Unlike the trip to the Moon, the trip home is pretty much aiming at a stationary target, only the departure point is rotating around said target. They make their TEI burn pretty much opposite the Earth on the Moon's far side, and the Moon's gravity remains the dominant force for some time after that.
Then, don't forget the Sun's influence...they don't call this rockets science for nothing, and we are blessed with an unusual concentration of such experts right here.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 22, 2013, 01:59:34 PM
Thank you, Glom.  I greatly appreciate your bringing up topics of discussion on this point.  I believe “pericynthion” is an orbital term.  Therefore, “pericynthion” does not exist unless you are first in orbit, around something.  My questions would be:  When did this orbit occur? And how did this orbit occur?  And yes, I agree that the Moon’s gravity would have an effect on Apollo 11.  In fact, not only would the Moon slow the command module down, but the Moon would also pull the command module along its orbital path.  However, I do not believe it is possible for the Moon’s gravity to slow down Apollo 11 enough to allow Apollo 11 to regain orbital velocity relative to the Earth.  But, assuming I might be wrong, then there had to be a point at which Apollo 11 regained orbital velocity relative to the Earth.  That is the answer I am seeking.  And, I do not mean to argue, but I do believe that Apollo 11 needed to be in a flat elliptical orbit for the re-entry corridor to work.  If Apollo 11 were traveling escape velocity as it approached the Earth, then it would either collide at high velocity, or else it would fly right on by, but either way the command module would not have swung around to the antipode/perigee side of the Earth unless it were in elliptical orbit.  But, again, thank you for responding.  Your answer helps me put my own questions into perspective.
Title: Re: Re: Please Explain the Velocity Numbers
Post by: Glom on May 22, 2013, 02:29:03 PM
Thank you, Glom.  I greatly appreciate your bringing up topics of discussion on this point.  I believe “pericynthion” is an orbital term. 

Pericynthion is the lowest point of an orbit of the Moon (equivalent to perigee)

Quote
Therefore, “pericynthion” does not exist unless you are first in orbit, around something.

Well no. Even a flyby (eg Apollo 13) would have a pericynthion because it would have a lowest point in the Moon dominated portion of its trajectory.

Quote
However, I do not believe it is possible for the Moon’s gravity to slow down Apollo 11 enough to allow Apollo 11 to regain orbital velocity relative to the Earth. 

That's an assertion. Show your maths.

But even so, I refer you my previous response to you. The spacecraft does not require a reduction in speed to that of a closed orbit because it heads straight into the atmosphere where it loses all orbital energy.

Quote
And, I do not mean to argue, but I do believe that Apollo 11 needed to be in a flat elliptical orbit for the re-entry corridor to work. 

Any orbit is going to be flat. It is dictated by conservation of angular momentum.

Quote
If Apollo 11 were traveling escape velocity as it approached the Earth, then it would either collide at high velocity, or else it would fly right on by, but either way the command module would not have swung around to the antipode/perigee side of the Earth unless it were in elliptical orbit.  But, again, thank you for responding.  Your answer helps me put my own questions into perspective.

Nothing about speed prevents the spacecraft from intersecting the atmosphere.
Title: Re: Please Explain the Velocity Numbers
Post by: gillianren on May 22, 2013, 02:35:04 PM
However, I do not believe . . . .

. . . But I do believe . . . .

With all due respect, so what?  Why do your beliefs matter?  What matters is what you can show, and you aren't doing that.  You are stating a bald supposition, and you haven't explained why anyone should agree with it.  Can you show the math?  If you can't, no one has any reason to believe you.  And let me assure you that this is not an ad hominem attack; it's true no matter who you are.  If you can't show the math, all we have is one person's opinion.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 22, 2013, 02:48:03 PM
Gillianren, I appreciate your response.  But, you are getting off topic here.  My first question was simply a point of information to discover where in the Apollo 11 logbook they included the Moon’s orbital velocity.  Your response does not help me figure that out, but I wish you would.  It is not about belief, it is about velocity, and in particular escape velocity.  If Apollo 11 were traveling at escape velocity when it came back to Earth, then the re-entry corridor would not work.  I gave my numbers in my first post.  As of this point in time, nobody has shown how my numbers are wrong.  I am asking for any information on how my numbers might be wrong.  Because, if my numbers might be correct, then the re-entry corridor did not happen for Apollo 11.  So, where am I wrong?
Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 22, 2013, 02:55:42 PM
You provided some speeds, but you haven't demonstrated why they would make reentry impossible.

I also pointed out to you that you got some reference frame calculations wrong so you might need to revisit your maths before asserting you've demonstrated your point.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 22, 2013, 03:04:13 PM
Just for reference, I wanted to remind everyone of a prior post on the old blog: 

______ 


Re: Antipode and Lifting Characteristics
Post by bob on Jul 18, 2011, 11:39pm

Just to prove my point that the Apollo transearth trajectories were elliptical orbits…

Vesc = SQRT[2*GM/R]

At entry interface, R = 6378140+(400000*0.3048) = 6,500,060 m

Therefore,

Vesc = SQRT[2*3.986005E+14/6500060] = 11,074.5 m/s = 36,334 ft/s

If you look at the following table,

http://history.nasa.gov/SP-4029/Apollo_18-40_Entry_Splashdown_and_Recovery.htm

You’ll see that all the returning Apollo spacecraft had velocities below 36,334 ft/s at Earth entry.

________ 

So, what I am saying is that it would appear that the stated orbital velocities of the Apollo command modules upon Earth re-entry would be incorrect if the velocity of the Moon were to be included in the equations.  So, I am merely asking this:  Where in the logbook did NASA include the Moon's orbital velocity?   


Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 22, 2013, 03:18:02 PM
The entry speeds were all close to that value. The spacecraft wasn't quite at escape energy, just very close, so I see nothing inconsistent in the table with Bob's rough calculations.

Converting velocities relative to the Moon to velocities relative to Earth is simple enough. It's basic vector arithmetic.
Title: Re: Please Explain the Velocity Numbers
Post by: scooter on May 22, 2013, 03:19:11 PM
I'm not sure what the speed of the Moon in it's orbit has to do with how fast the CSM had to go in order to attain it's TEI trajectory.

Am I missing something?
Title: Re: Please Explain the Velocity Numbers
Post by: PUshift on May 22, 2013, 03:47:02 PM
...If Apollo 11 were traveling escape velocity as it approached the Earth, then it would either collide at high velocity, or else it would fly right on by...

Aiming at earth perigee of e.g. 40km will presumably avoid both fatal scenarios you describe as only possible. I would call this argument by polarization. There is a middle way and it is the feasable one.


Hello to the Forum, lurking since many years, with thanks, cheers and respect to the authority of knowledge and personality of the majority of the forum members. The chances are low to improve value because every issue is always known better by somebody else. Always and anyway :-\ That´s why I appreciate it so much.
Title: Re: Please Explain the Velocity Numbers
Post by: gillianren on May 22, 2013, 03:52:14 PM
But, you are getting off topic here.

On the contrary.  You are making an assertion, and you have shown no basis for it.  Maybe you should start by presenting your math instead of just saying, "Prove me wrong!"  Because the numbers are out there if you know where to look.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 22, 2013, 04:26:27 PM
I am asking two different questions.  Both questions stem from that point in time when the Trans Earth Injection burn ended, but the two points are different. 

First, at the end of the Trans Earth Injection Burn, Apollo 11 had three different relative velocities, which were approximately:  (1) 2,624 meters per second relative to the Moon; (2) 3,624 meters per second relative to the Earth; and (3) 33,044 meters per second relative to the Sun.  For purposes of my question at this time, the Apollo 11 velocity relative to the Sun is irrelevant.  But, what appears to have happened is that NASA completely forgot about the velocity relative to the Earth, and based all of its velocity calculations on the velocity relative to the Moon.  You can look at the logbook and see that all of the velocities that were reported on the Apollo 11 return voyage were stated relative to the Moon.  There is no adjustment of the Apollo 11 velocity to reflect the orbital velocity of the Moon.  I am asking whether any of you might know where this adjustment took place.  My point is that if the actual velocity of Apollo 11 relative to the Earth was 1,000 meters per second higher than NASA reported, then the re-entry corridor would not have worked.   

Second, at the end of the Trans Earth Injection burn, Apollo 11 was traveling at escape velocity relative to the Moon and relative to the Earth.  But, we know (thanks to Bob’s earlier post in the old forum) that Apollo 11 was in an elliptical orbit at the point of the Earth re-entry corridor.  So, there had to be some point in time, in the journey home, that Apollo 11 slowed down enough to re-enter orbit.  I am trying to find out when that point in time occurred.         

And, with respect to PUshift, I appreciate your input, but it appears that you agreed with me.  You expressed the need to aim at a “perigee” point.  You do not get a perigee point unless you are in orbit, so that is what I am trying to say.  Apollo 11 needed to be traveling less than escape velocity in order for the re-entry corridor to work, because Apollo 11 needed to be in orbit.  (i.e. the perigee point needs to be inside Earth’s atmosphere).  I am just trying to figure out when Apollo 11 acquired that orbit.  It was traveling at escape velocity when it was near the Moon, so when did Apollo 11 fall into orbit around the Earth?   
Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 22, 2013, 04:29:05 PM
I got a few lines into your post and saw that you ignored my first point about your mistaken conversion to the geocentric frame. The velocity of the spacecraft at TEI is against the orbit of the Moon.

Correct that first then we'll move on to the next issue.
Title: Re: Please Explain the Velocity Numbers
Post by: Donnie B. on May 22, 2013, 04:44:09 PM
One way to look at this question is to assume that the CSM barely made it to the Moon-Earth crossover point before falling the rest of the way back to Earth.  It's not particularly difficult to calculate the resulting velocity at the atmospheric interface.  Can you do this calculation?  If so, then all you need to do is add the Earth-relative velocity of the CSM at crossover (hint: it's non-zero but pretty small) and you have the velocity at interface.  In fact, it can't possibly be any higher (unless they deliberately increased it by an SM engine burn).
Title: Re: Please Explain the Velocity Numbers
Post by: Mag40 on May 22, 2013, 04:50:33 PM
First, at the end of the Trans Earth Injection Burn, Apollo 11 had three different relative velocities, which were approximately:  (1) 2,624 meters per second relative to the Moon;

No (1) seems to be correct.

Quote
(2) 3,624 meters per second relative to the Earth;

And that is incorrect. The TEI is performed on the far side of the Moon and brings the craft out in a clockwise elliptical orbit against the Moon's orbital speed.

http://www.braeunig.us/apollo/hybrid-profile.htm

Title: Re: Please Explain the Velocity Numbers
Post by: Jason Thompson on May 22, 2013, 05:17:32 PM
First, at the end of the Trans Earth Injection Burn, Apollo 11 had three different relative velocities, which were approximately:  (1) 2,624 meters per second relative to the Moon; (2) 3,624 meters per second relative to the Earth; and (3) 33,044 meters per second relative to the Sun.

Point 2 is not correct, as has been pointed out several times already.

To go into orbit around the moon, the spacecraft approached the leading edge of the Moon and swung behind it. When it was behind the Moon it was moving in the opposite direction to the moon's own orbit round the Earth. The TEI burn occurred on the far side of the Moon. This is something you are surely already aware of given how much is made of the Apollo 8 TEI burn and the anxious wait in mission Control to regain contact when they re-emerged from behind the Moon after the burn.

Given that, at the end of the TEI burn it is moving at a lower orbital speed than the Moon in relation to Earth, not a higher one, so it was never at escape velocity from Earth at lunar distance.
Title: Re: Please Explain the Velocity Numbers
Post by: PUshift on May 22, 2013, 06:29:21 PM
...You do not get a perigee point unless you are in orbit.

but yes, you get a perigee indeed even if not being in orbit, because you pass a celestial body at any closest approach. General word is Periapsis. Think of probes like Cassini flying by at Jupiter on the way to Saturn. What you don´t have while still not in orbit is the opposite, maximum approach (Apoapsis)

It is been said that Apollo crews never actually left earth orbit, even if beeing closed to it. If not maybe a little bit above.
Assuming you are not yet in orbit, still above escape velocity. Now inside the atmosphere velocity decreases gradually. On the way to periapsis the hyperbolic curve turns into an ellipse (now orbit), then further down to a parabola. You land and ask what the problem is.

For Jupiter Periapsis is called Perizene/Perijove.
For the moon: Periselene/Pericynthion/Perilune
Perigee for earth
(all from 'http://en.wikipedia.org/wiki/Apsis' )

I strongly recommend reading the pages of Bob Braunig http://www.braeunig.us/space/index.htm (http://www.braeunig.us/space/index.htm) or working with Orbiter Flight Simulator http://orbit.medphys.ucl.ac.uk/ (http://orbit.medphys.ucl.ac.uk/).
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 22, 2013, 07:32:48 PM
Assuming that chart noted above might be correct, 1,529 meters per second at the distance of the Moon is still escape velocity with respect to the Earth, no? 

Title: Re: Re: Please Explain the Velocity Numbers
Post by: Glom on May 22, 2013, 07:46:29 PM
Assuming that chart noted above might be correct, 1,529 meters per second at the distance of the Moon is still escape velocity with respect to the Earth, no?

Don't think so. It's a little below.
Title: Re: Please Explain the Velocity Numbers
Post by: PUshift on May 22, 2013, 08:10:41 PM
@pleasedebunkme
Orbiter Space Flight Simulator, hopefully realistic enough to show this in general. Good for people like me who can´t do the maths but have fun to try to apprehend the numbers.

1 hour before reentry, earth still to small to display it as a circle. Trajectory initialised by TEI.
'Focus PeD' is said 'aim' of 40km, in this case 6410 - 6371 = 39km
Since we have an apogee from twice the distance to the moon (more than 800 thousand km) we are still in Orbit. Just even! Closed to escape velocity.
(http://www.tenkan.de/1_hour_before_reentry.png)

While reentry, 1 minute before reaching perigee, altitude 50 km.
Velocity still above 10km/s
(http://www.tenkan.de/50_km.png)

at the initial perigee of 40km, still in an elliptical orbit:
(http://www.tenkan.de/41_km.png)

...and in 36km altitude, orbital energy is nearly utilized. Perigee had swopped position with apogee and moves virtually down into the earth´s body at the opposite side of the planet. Ellipse turned into parabola since orbit went below the surface. Still in a comfortable altitude for the final fall and parachute deploy:
(http://www.tenkan.de/36_km.png)

Title: Re: Please Explain the Velocity Numbers
Post by: scooter on May 22, 2013, 08:41:40 PM
Orbiter is a great way to play with orbits, and experiment...geostationary in the DG...yeah!

When the CSM finished it's TEI burn. it was still behind the Moon, and it's speed, while noticably increased, was certainly not enough to significantly straighten it's line of travel. The Moon curved the trajectory towards Earth, actually somewhat past it.  Earth's gravity later became dominant and started bringing the trajectory closer in. Finishing the "figure 8" that was started with TLI.
So while it did reach escape velocity from the Moon, the Moon's gravity affected (curved) the departure trajectory, sending the craft back towards Earth. Had the burn been made 90 degrees earlier or later, then there would be some "Earth escape velocity" issues. The burn on the opposite side of the Moon gave the energy and vector to get the craft into Earth's gravity domain.
Title: Re: Please Explain the Velocity Numbers
Post by: Chew on May 22, 2013, 11:25:17 PM
However, I do not believe it is possible for the Moon’s gravity to slow down Apollo 11 enough to allow Apollo 11 to regain orbital velocity relative to the Earth.

You can use the Vis-viva equation (http://en.wikipedia.org/wiki/Vis-viva_equation) to compute how much it was slowed down at various distances from the Moon. All you need is the Standard gravitational parameter (http://en.wikipedia.org/wiki/Standard_gravitational_parameter) for the Moon, semi-major axis of the orbit, and distance from the center of the Moon.

First we need to rearrange the equation to find the semi-major axis (a). Using a distance (r) of 1838 km from the center of the Moon (Moon radius of 1738 km + 100 km altitude) and a velocity of 2.624 km/s, we get a semi-major axis of -3162.2 km (a negative semi-major axis means a hyperbolic trajectory, which we know makes sense in this case because the velocity is in excess of escape velocity). Then we can solve for the velocity for any distance, keeping in mind the limits when the Earth's gravity eventually exceeds the Moon's.

Now that we know the semi-major axis we can plug in some distances and compute some velocities:
2000 km 2.54 km/s
4000 km 2.00 km/s
8000 km 1.67 km/s
16,000 km 1.47 km/s
32,000 km 1.36 km/s

For this last distance, if the spacecraft were directly between the Earth and the Moon the escape velocity from the Earth would be 1.33 km/s. But we know the spacecraft would be farther than the algebraic difference in the distances because the path back to Earth was a long ellipse. It would be 32,000 km from the Moon but it would be about 370,000 km from the Earth.

But it's not really an issue for the reasons others have stated, e.g. aerobraking and vacuum perigee.
Title: Re: Please Explain the Velocity Numbers
Post by: Jason Thompson on May 23, 2013, 07:10:20 AM
General word is Periapsis.

Thank you, that's the word I couldn't think of earlier! :)
Title: Re: Please Explain the Velocity Numbers
Post by: Jason Thompson on May 23, 2013, 07:14:32 AM
But it's not really an issue for the reasons others have stated, e.g. aerobraking and vacuum perigee.

Indeed. For an example of an object that definitely did have Earth escape velocity and yet failed to escape Earth, just look at what happened in Chelyabinsk in February. It doesn't matter if your spacecraft does have escape velocity if its perigee is in the atmosphere. That will slow it down nicely. The trick is getting it right so that it slows you down quickly enough that you don't skip out and slowly enough that you don't burn up.
Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 23, 2013, 08:22:06 AM
It is been said that Apollo crews never actually left earth orbit, even if beeing closed to it.
Not only was it said, it was also true. At no time did an Apollo spacecraft on a lunar mission achieve earth escape velocity. The eccentricity after TLI was 0.97, which is still a closed elliptical orbit with an apogee somewhat beyond the moon's orbit.

Note I said "Apollo spacecraft". Another piece of the Apollo 8, 10, 11 and 12 missions did achieve earth escape, namely the S-IVBs. They did this by slowing down relative to Apollo after separation. The S-IVB fell so far behind after three days that the moon crossed its path in the meantime. So it swung past the trailing limb of the moon, whose gravity dragged it along in the direction of its orbit. This gave the S-IVB earth escape velocity, flinging it into an independent orbit around the sun.

Apollo got to the moon's orbit ahead of the moon (and the S-IVB) so the moon's gravity acted in the opposite direction, pulling Apollo into what would have been a free return trajectory to earth if lunar orbit injection had not occurred. (This actually happened on Apollo 13.)

Now had Apollo somehow achieved a prograde (eastward) lunar orbit instead of the retrograde (westward) orbit actually achieved and then performed a prograde trans-earth injection burn on the far side, the moon's orbital velocity would indeed have been added to its own. Apollo would have broken out of both lunar and earth orbit and sailed off into an independent solar orbit like the S-IVB before it.

Title: Re: Please Explain the Velocity Numbers
Post by: Echnaton on May 23, 2013, 10:04:20 AM
I believe “pericynthion” is an orbital term.  Therefore, “pericynthion” does not exist unless you are first in orbit, around something.

Calculations for spacecraft in flight are orbital calculations and all the terms apply.   Why?  Because orbital mechanics is the field of applying math to address the question of bodies in such circumstances. The popular use of the term "orbit" that you are mistakenly using suggests that an orbit is only a craft relative to a larger body that the craft is circling.  That is, the notion that Apollo left earth orbit and entered lunar orbit is a gross popular simplification of a far more complex science and engineering discussion.   As long as you favor a populist approach and refuse to address the more exacting ideas of orbital mechanics, you will never understand why your position is wrong. 
Title: Re: Please Explain the Velocity Numbers
Post by: PUshift on May 23, 2013, 11:00:46 AM
General word is Periapsis.

Thank you, that's the word I couldn't think of earlier! :)
Thank you for your reply. May I get a t-shirt with "I brought up anything useful on the ApolloHoax.net-Forum before somebody else beat me to it" ? :P
Title: Re: Please Explain the Velocity Numbers
Post by: Chew on May 23, 2013, 11:54:07 AM
Dang. I screwed up the escape velocity in my previous post. At 32,000 km from the Moon the escape velocity for the Earth is 1.50 km/s, not 1.33 km/s. So the spacecraft velocity is well below what is needed to go in a closed orbit around the Earth.
Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 23, 2013, 04:30:03 PM
I have the relevant formula on a NASA bumper sticker on our refrigerator:
What part of
GxMxm/R = mxVesc2/2
Don't you understand? It's only rocket science!

It was apparently designed by an English major who didn't really understand it, so it should have read

GM/R = Vesc2/2

which can be rearranged to read

Vesc = sqrt(2GM/R)

GM for the earth is 398,600.4418 km3/s2. For the moon it's 4902.8 km3/s2. So at a distance of 400,000 km from the earth, Vesc = 1.412 km/s. For the moon at 1850 km (approx radius of Apollo from moon's center), Vesc is 2.3 km/s.
Title: Re: Please Explain the Velocity Numbers
Post by: Abaddon on May 23, 2013, 04:32:48 PM
Maybe this might help. Pioneer 10, pioneer 11, Voyager 1 and Voyager 2 all did not enter orbits around Jupiter, but they all had a perijove.
http://www.google.ie/url?sa=i&source=images&cd=&cad=rja&docid=g7fY5KsD4SgQeM&tbnid=zbXxbRisruGLlM:&ved=0CAgQjRwwAA&url=http%3A%2F%2Fwww.daviddarling.info%2Fencyclopedia%2FP%2FPioneer_anomaly.html&ei=B3yeUfG_BMWf7Ab2pYDICg&psig=AFQjCNELAqC0gSrEqEYGznvd3JNyZlxQTA&ust=1369427335158588 (http://www.google.ie/url?sa=i&source=images&cd=&cad=rja&docid=g7fY5KsD4SgQeM&tbnid=zbXxbRisruGLlM:&ved=0CAgQjRwwAA&url=http%3A%2F%2Fwww.daviddarling.info%2Fencyclopedia%2FP%2FPioneer_anomaly.html&ei=B3yeUfG_BMWf7Ab2pYDICg&psig=AFQjCNELAqC0gSrEqEYGznvd3JNyZlxQTA&ust=1369427335158588)
Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 23, 2013, 04:40:03 PM
Not only did they all have a perijove, all four also had perikrones. And Voyager 2 even had a periuranion and a periposeidion too.

And in just a few years New Horizons will reach perihadion, after having had a perijove some years ago.


Title: Re: Please Explain the Velocity Numbers
Post by: PUshift on May 23, 2013, 05:09:06 PM
Not only did they all have a perijove, all four also had perikrones. And Voyager 2 even had a periuranion and a periposeidion too.
And in just a few years New Horizons will reach perihadion, after having had a perijove some years ago.

...and when did we reach Perigalacticon again?
Orbital period 225–250 Myr. - but could be tomorrow ;D
Seriously, do we know that?
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 23, 2013, 05:51:27 PM
Thank you, ka9q.  So, after the Trans Earth Injection Burn, Apollo 11 was indeed traveling escape velocity with respect to both the Moon and the Earth.  How did it get home? 
Title: Re: Please Explain the Velocity Numbers
Post by: Chew on May 23, 2013, 06:33:04 PM
Thank you, ka9q.  So, after the Trans Earth Injection Burn, Apollo 11 was indeed traveling escape velocity with respect to both the Moon and the Earth.  How did it get home? 

Did you read my post???

By the time the spacecraft was 16,000 km from the Moon it had slowed to below Earth's escape velocity.

Title: Re: Please Explain the Velocity Numbers
Post by: Echnaton on May 23, 2013, 06:36:30 PM
Thank you, ka9q.  So, after the Trans Earth Injection Burn, Apollo 11 was indeed traveling escape velocity with respect to both the Moon and the Earth.  How did it get home? 

The failure to show your work indicates you can't actually do the math.  So, please stop the presumption that your ignorance somehow needs to be disproved and tell us why it shouldn't made it home?
Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 23, 2013, 06:53:49 PM
You seem to labouring under the misconception that once a satellite has escape speed it must shoot away from the attractor. Not so. If the direction is straight at the attractor, it will hit it.

In astrodynamics, direction is as important as speed.
Title: Re: Please Explain the Velocity Numbers
Post by: Jason Thompson on May 23, 2013, 06:57:04 PM
Thank you, ka9q.  So, after the Trans Earth Injection Burn, Apollo 11 was indeed traveling escape velocity with respect to both the Moon and the Earth.  How did it get home? 

Which part of the many responses that pointed out your error in adding the spacecraft velocity to lunar velocity rather than subtracting it, since it was travelling in the opposite direction to the Moon's orbital path at the end of TEI, and the Moon's gravity did the slowing, did you not understand?

After TEI it is the Moon's gravity that swings the spacecraft round the edge of the Moon and on a path back to Earth that intersects its atmosphere. It doesn't matter if you have escape velocity at any given altitude if that velocity vector puts you on a course that intersects the thing you have escape velocity from!
Title: Re: Please Explain the Velocity Numbers
Post by: Chew on May 24, 2013, 01:01:50 AM
You seem to labouring under the misconception that once a satellite has escape speed it must shoot away from the attractor. Not so. If the direction is straight at the attractor, it will hit it.

In astrodynamics, direction is as important as speed.

I think he is laboring under the misconception that once escape velocity has been reached the spacecraft will never slow down again; it becomes immune to gravity.
Title: Re: Please Explain the Velocity Numbers
Post by: Zakalwe on May 24, 2013, 02:50:39 AM
You seem to labouring under the misconception that once a satellite has escape speed it must shoot away from the attractor. Not so. If the direction is straight at the attractor, it will hit it.

In astrodynamics, direction is as important as speed.

I think he is laboring under the misconception that once escape velocity has been reached the spacecraft will never slow down again; it becomes immune to gravity.
and immune to aerobraking.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 24, 2013, 03:22:36 AM
Chew, yes I read your posts.  Thank you for taking the time.  I would like to know whether your calculation to come up with the 16,000 km distance from the Moon assumed the Moon was stationary, or did you account for the fact the Moon would be moving away at the rate of approximately 1,000 meters per second? 

And, of course I understand that the Moon's gravity was affecting Apollo 11.  But, in your calculations, wherein you came up with your 16,000 km figure, did you assume that the Moon was just making Apollo 11 slow down, or did you assume that the Moon would be pulling Apollo 11 along on the Moon's orbital trajectory?  And, if you did assume that the Moon would be pulling Apollo 11 along on the Moon's orbital trajectory, did you include some amount of added velocity for Apollo 11 to account for the fact that Apollo 11 was being pulled by the Moon?           
Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 24, 2013, 03:45:25 AM
Thank you, ka9q.  So, after the Trans Earth Injection Burn, Apollo 11 was indeed traveling escape velocity with respect to both the Moon and the Earth.  How did it get home?
No, that's not what I said (NTNWIS).

Because Apollo was in a retrograde (east-to-west) lunar orbit, when it performed trans-earth-injection behind the moon it was pointed against the moon's orbital motion. So while it achieved lunar escape velocity (otherwise it couldn't have gotten home), it was not on an earth escape trajectory. It was back in a highly elliptical earth orbit with apogee at the moon's orbit and perigee well within the earth's atmosphere. So when it got back, atmospheric drag "captured" it by taking it below even orbital velocity.


Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 24, 2013, 04:01:23 AM
But, in your calculations, wherein you came up with your 16,000 km figure, did you assume that the Moon was just making Apollo 11 slow down, or did you assume that the Moon would be pulling Apollo 11 along on the Moon's orbital trajectory?
For purposes of illustration it is possible to approximate a lunar mission as two patched conics, i.e., an ordinary 2-body orbit around the earth connected to one around the moon. But that's only a rough approximation, and what actually happens is much messier. During critical periods the spacecraft is significantly affected by both the earth and the moon and that means solving the three-body problem, made famous by the fact that several brilliant mathematicians looked for but failed to find any general analytic solutions, unlike the 2-body problem that does have such solutions.

That meant a solution was not practical until the modern digital computer could carry out a numerical integration of the basic equations of motion: add up all the forces; divide by mass to get acceleration; integrate acceleration to get velocity; integrate velocity to get position; wash, rinse & repeat from the new position.

Without rooms of IBM mainframes calculating trajectories, Apollo simply could not have happened.

I could do those same problems now on my laptop, and so can you. Get an orbital simulator program like ORBITER and play with it. Give it an Apollo trajectory. See what actually happened after each major burn: TLI, LOI, TEI. Tweak some of the parameters and see what they do. You'll learn far more about what actually happens than by waving your hands and winging it as you are currently trying to do. But you may have to let go of some of your intuitive notions.



Title: Re: Please Explain the Velocity Numbers
Post by: Chew on May 24, 2013, 04:16:18 AM
Chew, yes I read your posts.  Thank you for taking the time.  I would like to know whether your calculation to come up with the 16,000 km distance from the Moon assumed the Moon was stationary, or did you account for the fact the Moon would be moving away at the rate of approximately 1,000 meters per second? 

Physics doesn't work that way. Get the notion of the Moon moving relative to the Earth somehow affecting the velocity of a spacecraft leaving lunar orbit out of your head. The spacecraft had two velocities, one relative to the Moon, the other relative to the Earth. The velocity relative to the Earth is entirely irrelevant while the spacecraft is in the Moon's sphere of influence. For a spacecraft leaving lunar orbit aiming for the Earth, it is the Earth that is moving at 1000 m/s. That must be compensated for by determining when and where to fire the rockets so the spacecraft will intercept the Earth.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 24, 2013, 10:52:47 AM
So, somewhere in the calculations, NASA had to account for the velocity of 1,000 m/s, which is the approximate velocity of the Moon in orbit around the Earth.  That is what I am looking for:  Where and how did NASA account for this velocity? 
Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 24, 2013, 11:25:59 AM
So, somewhere in the calculations, NASA had to account for the velocity of 1,000 m/s, which is the approximate velocity of the Moon in orbit around the Earth.  That is what I am looking for:  Where and how did NASA account for this velocity? 

Sounds a very naive question.  In what exact form do you expect to see it?  It was incorporated into computer programmes used to plan and run the flight.  Any numpty these days can replicate that with their own computer program, even using just VBA.

Are you expecting to see it discussed in a chapter of some report like a chapter on economic forecasts in a Network Rail report into rail utilisation strategy?
Title: Re: Please Explain the Velocity Numbers
Post by: Chew on May 24, 2013, 11:52:10 AM
So, somewhere in the calculations, NASA had to account for the velocity of 1,000 m/s, which is the approximate velocity of the Moon in orbit around the Earth.  That is what I am looking for:  Where and how did NASA account for this velocity? 

It was accounted for in the same way a skeet shooter hits a skeet, a quarterback passes to the receiver, or a submarine sinks a ship with a torpedo: by aiming at the point the target will be at when the projectile arrives.
Title: Re: Please Explain the Velocity Numbers
Post by: pleasedebunkme on May 24, 2013, 11:52:41 AM
Also, retrograde motion is a direction, not a force.  As soon as the Apollo 11 direction changed, and it was no longer traveling retrograde relative to the Moon's orbital trajectory, then Apollo 11's velocity relative to the Earth should have been recalculated.  I think the way physics works is that an object in motion stays in motion, until a force is applied.  The retrograde motion on the back side of the Moon was not a braking force, and Apollo 11 would have retained its momentum.  So, I am back to the same question:    Back in 1969, did NASA forget to include the Moon’s orbital velocity when it computed Apollo 11’s return velocity to the Earth?  Telling me that the orbital velocity was included in some type of computer program does not answer the question, because the velocity numbers that NASA did provide back in 1969 do not include the Moon's orbital velocity. 

So, without insulting me by calling me naive, could someone please explain to me why the Moon's orbital velocity was not included. 

Also, since the subject has come up a couple times, could someone please explain to me how Apollo 11 could get all the way around to the antipode (or at least very close to it) without Apollo 11 being in some type of elliptical orbit?  It seems to me that an elliptical orbit is necessary, else Apollo 11 could never get all the way around to the antipode.  Thus, the question of when Apollo 11 entered that Earth orbit is very important.  It seems that we have come to some type of agreement that at the very least there was a stretch of the journey home for at least 16,000 km that Apollo was not in orbit around the Earth.  But, this calculation does not appear to include the movement of the Moon or the movement of the Earth.  So, my second question still has not been answered:  When and how did Apollo 11 regain its alleged elliptical orbit around the Earth that allowed it to use the alleged re-entry corridor?

Yes, I realize it is much more fun beating up lunar landing doubters on issues like lunar photographs and radiation belts, but the velocity numbers are much more important. 

Thank you for your consideration. 
Title: Re: Please Explain the Velocity Numbers
Post by: scooter on May 24, 2013, 01:01:06 PM
They knew the gravitational force of the Moon. They knew the gravitational force of the Earth.

Even in lunar orbit, the Earth's gravity slightly perturbs an object orbiting the Moon...and vice versa. It's a function of distance from the attracting body, and the mass of that body.

The orbital velocity of the Moon around Earth was not a factor, escape velocity is the same for prograde, retrograde, polar, whatever. The "surface" speeds are different for different orbit inclinations (due to parent body rotation), but that's not a factor. The velocity for an "escape" is also the same, and, given a burn approximately opposite  the target body, the trajectory will be the same, as the Moon's gravitational effect lessens and the Earth's gravity influence increases. 
How quickly the Moon is rotating around the Earth isn't important. The trajectory is based on the bodies as "massive" objects, and the impulse and vector applied to the object.
The TEI burn simply created a highly elliptical orbit with an apolune (is that right?) high enough to allow Earth's gravity to appropriately dominate and "capture" the craft.
Hoping I have this all correct, instruction always welcome.
Title: Re: Please Explain the Velocity Numbers
Post by: gillianren on May 24, 2013, 01:06:50 PM
Yes, I realize it is much more fun beating up lunar landing doubters on issues like lunar photographs and radiation belts, but the velocity numbers are much more important. 

Yes, they are, but they also take a lot more effort to understand.  You seem to want orbital mechanics to be simple, and I don't understand why.
Title: Re: Please Explain the Velocity Numbers
Post by: Jason Thompson on May 24, 2013, 01:11:14 PM
As soon as the Apollo 11 direction changed, and it was no longer traveling retrograde relative to the Moon's orbital trajectory, then Apollo 11's velocity relative to the Earth should have been recalculated.

And how do you know it was not?

Quote
The retrograde motion on the back side of the Moon was not a braking force, and Apollo 11 would have retained its momentum.

Before going down this road, consider how Apollo 11's (or indeed any lunar orbiting vehicle's) velocity relative to the Earth is constantly changing since it is going in a roughly equatorial, roughly circular orbit around the Moon. Using the figures you quoted, of an orbital speed of 1,624 m/s, and the Moon's approximately 1,000 m/s orbital speed, that would mean that at the point where the spacecraft is directly between Earth and moon in its orbit it is going at 2,624 m/s relative to Earth, and on the other side of its orbit it is going at 624 m/s in the other direction relative to Earth. It's not a braking force, but the Moon's gravity acting on the spacecraft to keep it in orbit is affecting its velocity relative to the Earth.

Quote
Back in 1969, did NASA forget to include the Moon’s orbital velocity when it computed Apollo 11’s return velocity to the Earth?

No, because if they had none of the flights would have worked.

Quote
Telling me that the orbital velocity was included in some type of computer program does not answer the question, because the velocity numbers that NASA did provide back in 1969 do not include the Moon's orbital velocity.

According to you, and your own expectations of what they should have included and where that should be apparent. You've been advised to look into the two- and three-body problems of orbital mechanics. Those will answer your questions.

Do you at least acknowledge that the location of the TEI burn makes your original calculation of relative speed wrong, since you simply added the spacecraft's orbital velocity rather than subtracting it as you should have? Do you also understand that having escape velocity doesn't help you if your trajectory is aimed right at the thinig you are trying to escape from?

Quote
So, without insulting me by calling me naive, could someone please explain to me why the Moon's orbital velocity was not included.

It was included in the calculations. Your expectation of where that should be apparent is at fault.
 
Quote
It seems to me that an elliptical orbit is necessary, else Apollo 11 could never get all the way around to the antipode.

It can if it passes close enough to the Earth.
Title: Re: Please Explain the Velocity Numbers
Post by: scooter on May 24, 2013, 01:18:32 PM
So, somewhere in the calculations, NASA had to account for the velocity of 1,000 m/s, which is the approximate velocity of the Moon in orbit around the Earth.  That is what I am looking for:  Where and how did NASA account for this velocity?

As I understand it, this would affect where the returning craft actually reentered and landed on Earth. Between the Moon's orbit around the Earth, and where the TEI occurred in that Moon orbit around the Earth, added to the Earth's rotation, and the resulting reentry cooridor, there were a lot of numbers to be crunched to sort out these variables. They obviously accounted for these numbers, including calculating for TEI burns 1 or 2 lunar orbits ahead of/behind the "scheduled" TEI burn.

They were very, very talented people.
Title: Re: Please Explain the Velocity Numbers
Post by: Luckmeister on May 24, 2013, 04:06:30 PM
pleasedebunkme, you have received more than adequate answers with a lot of thought and expertise put into them. It appears that you did not come here for answers but to repeatedly plant seeds of doubt regarding Apollo veracity.

Scientifically and historically, the null hypothesis is that the missions were successful. That puts the burden of proof squarely upon your shoulders to provide evidence (maths, etc.) that the Apollo 8, and 10 through 17 spacecrafts could not have safely returned to Earth. It's time you start doing that, as Echnaton requested back in Post #36, instead of repeating questions while ignoring or rejecting the good answers you have been given; otherwise you are just wasting everyone's time here.

Since you obviously question the reality of the 9 Apollo missions that returned people from the Moon, then I ask you to go to http://en.wikipedia.org/wiki/List_of_Apollo_missions (http://en.wikipedia.org/wiki/List_of_Apollo_missions) and look at what is just an overview of what those missions entailed. How can you even conceive of the possibility that it all could have been faked? There's really no wonder that members here find it difficult to give you the respect you feel you deserve....and yet, most of them have. That's to their credit, not yours.
Title: Re: Please Explain the Velocity Numbers
Post by: PUshift on May 24, 2013, 04:30:04 PM
The retrograde motion on the back side of the Moon was not a braking force, and Apollo 11 would have retained its momentum.  So, I am back to the same question:    Back in 1969, did NASA forget to include the Moon’s orbital velocity when it computed Apollo 11’s return velocity to the Earth?

No, it was a braking force, and Apollo 11 has not retained its momentum - in respect to Earth´s orbital velocity, not the Moon’s .
The direction of TEI is important to go for a lower velocity in Earth´s orbit.
Decreasing velocity (makes your current position to apogee) lowers down the opposite orbit-side (hello perigee), where you will arrive half a round later at reentry.

The fact, that this TEI-direction also points against Moon´s orbital path appears rather implicit than the ultimate cause.
We had to do that even without a moon (slowing down in earth´s orbit).
The well planned escape path affected by the Moon´s gravity was obviously taken into account by leading into an inbound direction to earth which further lead to a 'plane-switch' which is the slingshot-thing.
First you are heading to the "left side" of earth (+/- 270° Incl), then it shifts over to the "right side" (+/- 0° Incl). This passive maneuver was only possible by the assist of a body like the Moon.

So the answer to your question is no. They did not forget anything.
They probably returned safely to Earth, at least there is much evidence which supports that claim.  ;)

pleasedebunkme, this starts to run in circles now. You want some detailed information as proof and nobody provides that. It´s because they are not willing to do your homework and research. Extraordinary claims require extraordinary explications, you must have heard that already, don´t ya? Please change your username. It makes no sense at all.
Title: Re: Please Explain the Velocity Numbers
Post by: Mag40 on May 24, 2013, 04:59:59 PM
(http://2.bp.blogspot.com/_UuybM7Z4NjI/SAYMfEsRWSI/AAAAAAAACI8/t-NcL2OP8gg/s400/Poop.jpg)
Title: Re: Please Explain the Velocity Numbers
Post by: Echnaton on May 24, 2013, 07:09:02 PM
Back in 1969, did NASA forget to include the Moon’s orbital velocity when it computed Apollo 11’s return velocity to the Earth?
No.

Quote
the velocity numbers that NASA did provide back in 1969 do not include the Moon's orbital velocity. 

Oh really?  What is your source for that statement?  What searchs have you done? 
Quote
It seems to me that an elliptical orbit is necessary

If I understand things correctly, all orbits around a body in space are elliptical.  What kind of orbit are you suggesting they were in and how did you determine that?

Quote
the velocity numbers are much more important. 

More important for what? Showing that there was a hoax?  You haven't done that yet so it is premature to say that one piece of a non-proof is more important than another. 
Title: Please Explain the Velocity Numbers
Post by: Sus_pilot on May 24, 2013, 09:31:14 PM
(http://2.bp.blogspot.com/_UuybM7Z4NjI/SAYMfEsRWSI/AAAAAAAACI8/t-NcL2OP8gg/s400/Poop.jpg)

That's what I'm starting to think.

Waiting for bluegrass banjo to start...
Title: Re: Please Explain the Velocity Numbers
Post by: scooter on May 24, 2013, 09:44:23 PM
As I understand it, with the craft in orbit around a body (Moon) orbiting the target body (Earth)...the velocity of the Moon isn't a factor...it's gaining velocity around the Moon to acheive escape velocity from the Moon that's the issue, the Moon's orbital velocity isn't a factor in the TEI problem.
Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 25, 2013, 01:46:07 AM
The retrograde motion on the back side of the Moon was not a braking force, and Apollo 11 would have retained its momentum.
How can you possibly say this?

You do understand Newton's laws of motion, right? In particular, you understand that the momentum of a closed system remains constant, right? During the TEI burn, Apollo expels a considerable fraction of its mass in one direction at high velocity, so how could its momentum possibly remain unchanged?

Title: Re: Please Explain the Velocity Numbers
Post by: smartcooky on May 25, 2013, 06:21:14 AM
It seems to me that an elliptical orbit is necessary

No kidding, really? Kepler's First Law, published over 400 years ago, specified that planets orbit in ellipses, with the Sun at one focus of the ellipse.

In fact we know today that in all cases, objects orbit each other in ellipses. While not technically correct, for all practical purposes, even a circular orbit is an ellipse that just happens to have both foci in the same place.

So your statement "an elliptical orbit is necessary" is somewhat redundant!
Title: Re: Please Explain the Velocity Numbers
Post by: ka9q on May 25, 2013, 06:43:49 AM
It's more correct to say that a conic section is necessary. Ellipses and circles are conic sections, but so is the parabola, the hyperbola and even the straight line. These last three correspond to open trajectories, i.e., the object is on an escape trajectory.

circle: eccentricity=0
ellipse: 0 < e < 1
parabola: e = 1
hyperbola: e > 1
straight line: e = infinity

Title: Re: Please Explain the Velocity Numbers
Post by: smartcooky on May 25, 2013, 08:06:56 AM
It's more correct to say that a conic section is necessary. Ellipses and circles are conic sections, but so is the parabola, the hyperbola and even the straight line. These last three correspond to open trajectories, i.e., the object is on an escape trajectory.

circle: eccentricity=0
ellipse: 0 < e < 1
parabola: e = 1
hyperbola: e > 1
straight line: e = infinity

With respect, parabolas and hyperbolas cannot, by definition, be "orbits" 
Title: Re: Please Explain the Velocity Numbers
Post by: Glom on May 25, 2013, 08:12:14 AM
It's more correct to say that a conic section is necessary. Ellipses and circles are conic sections, but so is the parabola, the hyperbola and even the straight line. These last three correspond to open trajectories, i.e., the object is on an escape trajectory.

circle: eccentricity=0
ellipse: 0 < e < 1
parabola: e = 1
hyperbola: e > 1
straight line: e = infinity

With respect, parabolas and hyperbolas cannot, by definition, be "orbits" 

That's a terminology thing.  In a strict astrodynamic sense, they are "open orbits" because the satellite will only come round once.  However, I understand those who want to keep the term "orbit" limited to closed orbits, using it in a more practical context.
Title: Re: Please Explain the Velocity Numbers
Post by: gillianren on May 25, 2013, 10:52:50 AM
No matter your terminology, I'm not sure how a hyperbola can be an orbit, open or otherwise.
Title: Re: Please Explain the Velocity Numbers
Post by: Echnaton on May 25, 2013, 02:25:46 PM
http://en.wikipedia.org/wiki/Kepler_orbit (http://en.wikipedia.org/wiki/Kepler_orbit)

Quote
In celestial mechanics, a Kepler orbit (or Keplerian orbit) describes the motion of an orbiting body as an ellipse, parabola, or hyperbola, which forms a two-dimensional orbital plane in three-dimensional space.

That is the scientific, not common, use of the term orbit.

Here is an image of examples of orbits that KA9Q referred too.
(http://upload.wikimedia.org/wikipedia/commons/thumb/8/89/OrbitalEccentricityDemo.svg/300px-OrbitalEccentricityDemo.svg.png)
Title: Re: Please Explain the Velocity Numbers
Post by: Noldi400 on May 25, 2013, 02:40:04 PM
No matter your terminology, I'm not sure how a hyperbola can be an orbit, open or otherwise.
Technically true, I think...  the terminology I usually see is  a parabolic or hyperbolic trajectory.

But either way, it still has a point of closest approach (periapsis), and if it passes close enough to a planet with an atmosphere, friction takes over.

BTW, what "logbook" are we referencing here?  I've been unable to follow the exact discussion - I've searched every reference I can think of and keep coming up empty.

Also, please forgive my lay ignorance, but isn't the moon's orbital velocity allowed for by exactly where in the orbit TEI is initiated, since that determines the apoapsis of the resultant orbit?

Last I heard, velocity consists of a speed and direction. And, as has been said repeatedly, the speed of the return velocity is not nearly as relevant as the direction. So long as the CM hit atmosphere at an angle that allowed speed to be bled off as heat, reentry was possible.