Hey guys hope everybodies well. I decided to join a FB group on the moon landings. Mostly believers. However a gent has shared with me a video which about 22 minutes in seems to show him that the LM is hovering and not orbiting. Any thoughts
That's footage shot from orbit, using a camera (looks like it's hand held) pointing out a window.
"Hovering" implies they'd be a couple of hundred feet above the surface, which is definitely not the case here (not enough surface detail).
Orbital velocity is a function of both mass and altitude. For a given planetary mass, higher orbits have lower velocity. For a given orbital altitude, lower planetary masses require a lower orbital velocity.
The orbital speed for a circular orbit can be approximated by sqrt((GM)/r)
1, where G is the gravitational constant (6.67408 × 10
-11 m
3 kg
-1 s
-2), M is the mass being orbited (for the Moon, 7.342 x 10
22 kg), and r is the distance from the center of the mass being orbited (Lunar radius is approx 1740 km, so add that to your altitude above the surface). Assuming a 200 km orbit, that gives us (very) roughly 1590 m/s.
A 200km orbit above the Earth requires a velocity of ~7800 m/s.
- This formula only works for objects that are much less massive than the thing they are orbiting, and when the orbit is roughly circular. It won't work for orbits of large natural satellites like the Moon, or orbits that are highly eccentric.