the weight of a 70 kg astronaut that is 320 km above the surface of the earth
Since gravity strength is proportional to the inverse of the square of the distance from the center of the Earth, it follows that distance from the center, or about 6,371 Km plus 320 Km above the surface=[6371 + 320] / 6371=1.0502^2=1.10292004. Now, the strength of the Earth gravity at 320 Km above the surface is proportional to the inverse of 1.10292004 or, 1/1.10292004=.90668 of the gravity on the surface of the Earth. Therefore, a stationary astronaut weighing 70 Kg, would weigh:
70 X .90668=63.47 Kg.
