... you are referring to Apollo 13, yes?
It never entered lunar orbit. Rather, after the explosion, the LM descent stage made a burn to put the CSM/LM stack *back* into the free return trajectory, looping around the moon, that would return it back to Earth, a pretty minor change in velocity. The figures are easily available.
Hm, ... free return trajectory, looping around the moon, minor change in velocity ... no fuel consumed ? ... figures easily available. It does not sound convincing. Suggest you explain how Apollo 13 managed to change direction in space and get back to Earth and fuel consumed for the maneuver.
You admit things can *get* into Earth orbit, yes? You've claimed shuttle sightings were just a fake satellite sent up to fool people, yes? But once they are in orbit, not spending any fuel, *they're flight is *constantly* looping, loops that loop back on themselves, constantly changing direction relative to the body being orbited. Heck, the same could be said of the moon around the Earth and the Earth around the Sun.
The answer is gravity.
And, yes, the figures are easily available. Such as
right here on page 28 of the PDF.
Apollo 13 did have to spend some fuel to get back into a free return trajectory, but, once it was done, to quote the film based on the events in question, they "put Sir Isaac Newton in the driver's seat" though they did later burns to speed up and get home faster.
Oh, and are you still going to try to claim the figures and information on the ablative thermal shielding for Apollo are some kind of secret?
It's Not a Secret!
