1. The problem statement, all variables and given/known data Considering only the gravitational fields of the Earth and the Moon, find the distance from the Earth at which a space capsule travelling between the Earth and the Moon is subject to zero gravitational force. Mass of the Earth = 5.98 x 1024kg Mass of the Moon = 7.35 x 1022kg Radius of Moon's orbit = 3.84 x 108m Radius of the Earth = 6.38 x 106m Radius of the Moon = 1.74 x 106m 2. Relevant equations 3. The attempt at a solution Let x be the distance between the centre of earth and the point of zero gravitational field Gravitational field due to Earth = Gravational field due to Moon GME/x2 = GMM/(R - x)2 (ME/MM)1/2=x/(R-x) x = (ME/MM)1/2R/((ME/MM)1/2 +1) = 3.79 x 108 But the answer provided is 3.46 x 108 Can anyone tell me where I went wrong?