Issues with predicting Mercury's Orbit

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SUMMARY

This discussion focuses on predicting Mercury's orbit using the geodesic equations derived from the Schwarzschild Metric, specifically referencing the text "General Relativity, An Introduction for Physicists" by M.P. Hobson. The key equation discussed is \left(1-\frac{2\mu}{r}\right) \frac{dt}{d\tau} =k, which is essential for understanding the dynamics of Mercury's orbit. Participants emphasize the importance of using the correct formatting for mathematical expressions in discussions, highlighting the need for clarity in communication.

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  • Understanding of General Relativity principles
  • Familiarity with the Schwarzschild Metric
  • Basic knowledge of geodesic equations
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  • Study the derivation of geodesic equations in General Relativity
  • Explore the implications of the Schwarzschild Metric on planetary orbits
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Students and researchers in physics, particularly those focused on General Relativity, astrophysicists analyzing planetary motion, and anyone interested in the mathematical foundations of orbital mechanics.

Mathaddict809
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Greetings I have been trying to find the orbit of Mercury using the geodesic equations with the Schwarzschild Metric, more precisely I have been using the equations derived in "General Relativity, An Introduction for Physicists" by M.P. Hobson, etc, that is:
<math>\left(1-\frac{2\mu}{r}\right) \frac{dt}{d\tau} =k </math><br>
c^2
 
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Mathaddict809 said:
Greetings I have been trying to find the orbit of Mercury using the geodesic equations with the Schwarzschild Metric, more precisely I have been using the equations derived in "General Relativity, An Introduction for Physicists" by M.P. Hobson, etc, that is:
[tex]\left(1-\frac{2\mu}{r}\right) \frac{dt}{d\tau} =k[/tex]<br>
c^2

You need to use [tex]here, not <math>. I'll do that and see what it looks like, then try to answer it.<br /> <br /> OK - what exactly is your question?[/tex]
 

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