Calculate Earth\'s gravitational force on the Iss astronauts while orbiting at a

Question

Calculate Earth's gravitational force on the Iss astronauts while orbiting at an attitude of 401.5 km above Earth's surface. To do this, compare the gravitational force on an orbiting astronaut to the force on the astronaut here at Earth's surface using the following equation: %F_g = F_g.orbit/F_g surface = R^2/r^2 times 100 = % F_g where F_g surface = a force of gravity in orbit from Newton's law of Gravitation. F_g surface = force of gravity at Earth's sutace from Newton's Law of Gravitation () R radius of Earth (Distance from of earth to earth's surface at equation) r = distance from the central of earth to the center of object

Explanation / Answer

Radius of earth = 6,371 kilometers

r = 6371+401.5 = 6771.5

%Fg = ( 6,371)^2/( 6,371+401.5)^2*100

= 88.49 %

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