Phase-plane analysis of perihelion precession and Schwarzschild orbital dynamics

Details Phase-plane analysis of perihelion precession and Schwarzschild orbital dynamics Phase-plane analysis of perihelion precession and Schwarzschild orbital dynamics

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999amjph..67...78d&link_type=abstract

American Journal of Physics, Volume 67, Issue 1, pp. 78-86 (1999).

Physics

4

Educational Aids, Classical General Relativity

Scientific paper

A calculation of perihelion precession is presented that utilizes a phase-plane analysis of the general relativistic equations of motion. The equations of motion are reviewed in addition to the phase-plane analysis required for the calculation. ``Exact'' phase planes for orbital dynamics in the Schwarzschild geometry are discussed, and bifurcations are identified as a dimensionless parameter involving the angular momentum is varied.

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