Question

Please answer please. I am in need of your help. NASA says the sun’s gravitational force keeps the planets in orbit, why do astronauts float in the space if the sun’s gravitational force exists?

Answer 1

$f_{gravity(sun)} = \frac{ g \times m_{sun} m_{astronaut} }{ {(distance \: to \: sun)}^{2} }$
$f_{gravity(earth)} = \frac{ g \times m_{earth} m_{astronaut} }{ {(distance \: to \: earth)}^{2} }$

me
consider the mass of the earth and the mass of the sun. then consider the distance between the astronaut and the sun.

you will see that the force of the Earth's gravity is much greater due to the formula above as the very large distance from the sun