By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. If the mass of the vehicle is 155.1× greater than the astronaut by what factor would the astronaut's acceleration be affected? Think of a method in which recoil of the vehicle is avoided. original text = Discuss how this would affect the measurement of the astronaut’s acceleration.

These effects due to Newton's third law of action and reaction. Since the forces are equal but in the opposite direction and each acting on a different body. We distance that the Force is F let's calculate the acceleration of the vehicle and the astronaut

Astronaut

F = [tex]m_{ast}[/tex] a₁

Vehicle

F = [tex]m_{veh}[/tex] a₁

F = 555.1 [tex]m_{ast}[/tex] a₂

Let's match the equation

[tex]m_{ast}[/tex] a₁ = 155.1 [tex]m_{ast}[/tex] a₂

a₁ = 155.1 a₂

a₁ / a₂ = 155.1

The astronaut's acceleration is 155.1 times the vehicle's acceleration

We see that even when the acceleration of the vehicle is small, there is a very high multiplicative factor.

One method to improve this situation is that the vehicles fear some small retro-rocket vehicles to reduce their acceleration. This would have a very favorable impact on the astronaut's mission.

Another method would be for the astronaut himself to have the retro-rocket and control his acceleration.