Frequency of GW Arm Length Change: Properties & Detailed Explanation

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SUMMARY

The frequency of gravitational wave (GW) arm length changes is directly related to the orbital frequency of two bodies in a gravitational system, specifically doubling the orbit frequency as the system reaches maximum elongation. Gravitational waves are derived from complex mathematical frameworks based on General Relativity, with foundational concepts outlined in Sean Carroll's online lecture notes. For a comprehensive understanding, the Wikipedia page on gravitational waves serves as an introductory resource. The discussion emphasizes the need for higher-level resources for a more technical grasp of the subject.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Familiarity with gravitational wave properties
  • Basic knowledge of orbital mechanics
  • Mathematical proficiency in linear approximations
NEXT STEPS
  • Study Sean Carroll's online lecture notes on General Relativity
  • Explore advanced papers on gravitational wave properties
  • Learn about the mathematical formulations of gravitational waves
  • Investigate the implications of gravitational waves in astrophysics
USEFUL FOR

Astrophysicists, gravitational wave researchers, students of General Relativity, and anyone interested in the mathematical foundations of gravitational wave phenomena.

Meerio
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What properties have to do with the frequency at which the lengths change of the arm?
Also does anybody have a body paper or webpage which explains the properties at a detailed level?
 
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A gravitational wave is typically produced when sources change from being longer in one direction to being longer in the perpendicular direction. If the sources are two bodies orbiting one another, the frequency is twice the orbit frequency (as the system reaches maximum elongation in a given direction twice per orbit).

Gravitational waves involve complex mathematics, usually based on a linear approximation to General Relativity. For an introduction, see this Wikipedia page: https://en.wikipedia.org/wiki/Gravitational_wave
 
Meerio said:
Also does anybody have a body paper or webpage which explains the properties at a detailed level?

There are plenty of papers on this subject, but they won't be at a "B" level (high school level), which is how you labeled this thread. If you want answers at a more technical level, let me know and I can adjust the thread level accordingly.
 
Yeah could you please move the thread up a level? Thx
 
Meerio said:
could you please move the thread up a level?

I have changed the thread level to "I".
 
A good introduction to the theory of gravitational waves is in Chapter 6 of Sean Carroll's online lecture notes on GR:

https://arxiv.org/abs/gr-qc/9712019

This is a good text in general for learning GR as well.
 
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