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In my research, I found out 3 mistakes in Mr Henry Cavendish torsion balance exp.
1 the distance between two balls is too close, the balls can't be treated as a point.
2 when we calculate the force between 2 balls on the ground, the law of universal gravitation probably is invalid. for example, there are 2 balls, the distance between them is 1m, each ball is 1kg. the force from Earth for one ball is 10 billions times as much as the force from the other ball.
3 GM in the law of universal gravitation is a constant for a celestial body. GM equal to 4π^2/k (A), k is from Kepler's third law. then M= A/G. which means, if G is wrong, then M is wrong as well, but GM is still a constant. There is no way to find out weather the mass of Earth is wrong.
What the mass of Earth means to us.
if the mass of Earth is wrong, then the mass of sun, moon, Jupiter are wrong as well. Theories in Astrology, Earth science will collapse.
Our human being should believe that no matter who and no matter what theory stand behind 4 balls, we can't weigh the mass of Earth through these 4 balls. It's the logic bottom line for us.
Jin guangnian (Tom)
tomjin2000@hotmail.com