Time Dilation of Particles A & B in Gravitational Field

[Flor]

Hi,

may I ask you about a help (or where to find proper study materials)?

I have two particles - A and B. A is moving at constant velocity in a gravitational field with constant acceleration (due to gravity). B is moving on spiral trajectory at accelerated velocity in a gravitational field with changing acceleration (due to gravity). What would be the time dilation for A and B?

Thank you very much!

 

[lyncsta]

Well if A is moving at a constant velocity then its not accelerating?

 

[Flor]

Suppose two velocities v1 and v2, eg. v1 = 5 km.s-1 and v2 = 10t km.s-1 (acceleration times time, time integration).

 

[Flor]

But maybe, who is then accelerating... :)

 

[sardar]

Hello, thank you for reaching out. Time dilation is a concept in physics that describes how time passes differently for objects in different frames of reference. In this case, we have two particles, A and B, in a gravitational field. Since the gravitational field is constant for both particles, the time dilation for A and B will be the same. This is because time dilation is dependent on the strength of the gravitational field, not the motion of the objects within it. However, the time dilation for both particles may be different from an observer's perspective, depending on their relative velocities and positions. As for study materials, I would recommend researching general relativity and the principles of time dilation in relation to gravitational fields. There are also many online resources and textbooks available on this topic. I hope this helps!