Time Dilation of Particles A & B in Gravitational Field

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Discussion Overview

The discussion revolves around the time dilation effects experienced by two particles, A and B, in different gravitational fields. Particle A is described as moving at a constant velocity in a gravitational field with constant acceleration, while particle B is moving along a spiral trajectory with an accelerated velocity in a gravitational field with changing acceleration. The inquiry seeks to understand the implications of these conditions on time dilation.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the characterization of particle A's motion, noting that if it is moving at a constant velocity, it is not accelerating.
  • Another participant introduces specific velocities for discussion, suggesting a scenario with two velocities, v1 and v2, where v2 is defined as a function of time.
  • There is a playful suggestion about the nature of acceleration, implying uncertainty about which particle is actually accelerating.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definitions and conditions of motion for particles A and B, leading to multiple competing views regarding their acceleration and time dilation effects.

Contextual Notes

The discussion lacks clarity on the definitions of acceleration in the context of the gravitational fields mentioned, and there are unresolved assumptions regarding the nature of the trajectories and velocities of the particles.

Flor
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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!
 
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Well if A is moving at a constant velocity then its not accelerating?
 
Suppose two velocities v1 and v2, eg. v1 = 5 km.s-1 and v2 = 10t km.s-1 (acceleration times time, time integration).
 
But maybe, who is then accelerating... :)
 

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