Why is weightlessness experienced by astronauts when a satellite revolves around the earth?

Mar 1, 2018

When an astronaut is present with a satellite,attractive force of earth on it is $F$ (let)

But,due to this rotation, on the astronaut the centrifugal force$\frac{m {v}^{2}}{r}$ is also acting against the direction of $F$,

Now,we know, that the satellite starts moving around the orbit of that radius,where $F = \frac{m {v}^{2}}{r}$

So,net force acting on the astronaut is $F - \frac{m {v}^{2}}{r} = F - F = 0$

hence,the weightlessness is felt.

Every orbitant object is always in situation of free falling, then without weight... suffice to refer at Einstein description of free falling elevator... in the falling elevator, the bodies are without weigth... very simple because intuitive.