Acceleration Frame in SR: References for Research

[Haorong Wu]

TL;DR

References of acceleration frame in SR

Hi. I am looking for some references of acceleration frame in SR, such as an accelerating rocket problem.

I have some equations regarding the time, distance, velocity measured in the Earth frame, etc. But the reference I have does not provide the derivation of those equations, so I need some more references.

Thanks!

 

[haushofer]

Recently I wrote up some notes for myself. There are some typo's in it (the last version is at my home pc), but maybe it is of some help for you.

 

[Haorong Wu]

Recently I wrote up some notes for myself. There are some typo's in it (the last version is at my home pc), but maybe it is of some help for you.

Thanks! Great notes! It just has what I need.

 

[pervect]

Summary:: References of acceleration frame in SR

Hi. I am looking for some references of acceleration frame in SR, such as an accelerating rocket problem.

I have some equations regarding the time, distance, velocity measured in the Earth frame, etc. But the reference I have does not provide the derivation of those equations, so I need some more references.

Thanks!

Misner, Thorne, Wheeler (MTW) has a treatment of this in "Gravitation". But it uses tensors. Most treatments of accelerating frames that I've seen use tensors. Rindler has another (more dated) treatment, I believe in his GR textbook. I imagine there are others.

However, if you drop the "frame" part and are just interested in acceleration in special relativity, the "relativistic rocket" FAQ might be helpful. See https://math.ucr.edu/home/baez/physics/Relativity/SR/Rocket/rocket.html for instance.

 

[Haorong Wu]

Misner, Thorne, Wheeler (MTW) has a treatment of this in "Gravitation". But it uses tensors. Most treatments of accelerating frames that I've seen use tensors. Rindler has another (more dated) treatment, I believe in his GR textbook. I imagine there are others.

However, if you drop the "frame" part and are just interested in acceleration in special relativity, the "relativistic rocket" FAQ might be helpful. See https://math.ucr.edu/home/baez/physics/Relativity/SR/Rocket/rocket.html for instance.

Hello, @pervect. The equations I got are from the same page. Equations (4) to (8) in that page are just given without the derivation. Gladly, @ haushofer 's notes fill this gap.