for mr. stranger that uses too many adjectives and no facts whatsoever:
[ex]“At a point 43,495 miles from the Moon, lunar gravity exerted a force equal to the gravity of the Earth, then some 200,000 miles distant.” - Wernher von Braun (Time Magazine, July 25, 1969.)[/ex]
The Bullialdus/Newton inverse/square law states that any physical quantity or strength is inversely proportional to the square of the distance between them, specifically, the gravitational attraction between two massive objects, in additional to being directly proportional to the product of their masses, is inversely proportional to the square of the distance between them.
So knowing only the size of the 2 bodies, Earth and the Moon, and the neutral point we can determine the relative gravitational pull. No need to speculate about density.
Therefore we can state that using the following parameters:
Re = radius of the Earth = 3,960 miles
Rm = radius of the Moon = 1,080 miles
X = distance from the Earth’s center to the neutral
Point = 200,000 miles
Y = Distance from the Moon’s center to the neutral point = 43,495 miles
Ge = Earth’s surface gravity
Gm = Moons surface gravity
Since the forces of attraction of the Earth and the Moon are equal at the neutral point, the inverse- square law yields:
Ge (Re2/X2) = Gm(Rm2/Y2)
Gm/Ge = Re2Y2/Rm2X2
= (3,960)2 (43,495)2
(1,080)2 (200,000)2
= .64
Therefore, Gm = .64 Ge
So the gravity on the moon is approximately .64 that of earths gravity or almost two thirds. Now we understand why the Apollo astronauts were making those pitiful 6 inch hops on the moon. It should also be obvious why they tired so quickly.
Hey, you want to argue 38,000 miles? It still comes out 55% of earth’s gravity.
If the moon’s gravity was in fact, one-sixth that of earth or approximately 16.66% we could work the problem in reverse and come out with a neutral point from the moon of about 24,000 miles.
If the Moon’s gravity is only one sixth Earth’s why did Apollo orbit at 60 to 70 miles? Why did the Lunar Orbiter series only * once * get as low as 25 miles?
-----So are you telling me this Wernher von Braun has no idea what he’s talking about and is also making “crackpot allegations”? lolz