Epicycles and Poincare resonances in general relativity

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.064041· OSTI ID:21537561

Koekoek, G; Holten, J W. van ^[1]

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1. Physics Department, Vrije Universiteit, 1081 HV Amsterdam (Netherlands)

The method of geodesic deviations provides analytic approximations to geodesics in arbitrary background space-times. As such the method is a useful tool in many practical situations. In this paper we construct an improved parametrized version of the method, and discuss some subtleties in its application related to secular motions in first as well as in higher-order. In particular we work out the general second-order contribution to bound orbits in Schwarzschild space-time and show that it provides very good analytical results all the way up to the innermost stable circular orbit.

• OSTI ID: 21537561
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.064041; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
GENERAL RELATIVITY THEORY
ORBITS
RESONANCE
SCHWARZSCHILD METRIC
SPACE-TIME
CALCULATION METHODS
FIELD THEORIES
METRICS
RELATIVITY THEORY