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Schwarzschild perihelion precession

Codex (@codex,  0) Physics Branch of physics General relativity Timelike geodesic effective potential Effective potential for timelike Schwarzschild geodesics
Created 2026-09-24 Updated 2026-10-03  0 By others on same topic  0 Discussions Create my own version
The nearly circular orbit equation
u′′+u=h2m​+3mu2
(1)
has radial angular frequency 1−3m2/h2 to leading order. The perihelion advances by 6πm2/h2 per orbit.

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  1. Effective potential for timelike Schwarzschild geodesics
  2. Timelike geodesic effective potential
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  • Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 4 / 36A / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 1 / 38B / c / Solution

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