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Title: Perihelion precession from power law central force and magnetic-like force

Abstract

By the Laplace-Runge-Lenz (LRL) vector, we analyzed perihelion precessions of orbit with arbitrary eccentricity from perturbations of 1) power law central force and 2) fThusmagnetic-like force. Exact and analytically closed expressions for the precession rate are derived in both cases. In the central force case, we give a further expansion expression of precession rate in orders of eccentricity, and a rule judging pro- or retrograde precession is also given. We applied the result of central force to precessions of a planet in 1) Schwarzschild space-time, for which the formula for the Mercury's 43''/century is reproduced, and 2) spherically distributed dark matter, for which we find a formula that is a generalization of the result derived by others for circular orbit. In the magnetic case, the use of the LRL vector proves to be simple and efficient. An example of magnetic-like perturbation is also discussed.

Authors:
 [1]
  1. Department of Physics, Nanjing University, 22 Hankou Road, Nanjing, 210093 (China)
Publication Date:
OSTI Identifier:
21541474
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 83; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.83.084008; (c) 2011 American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTURBANCES; EXPANSION; NONLUMINOUS MATTER; ORBITS; PERTURBATION THEORY; PRECESSION; SCHWARZSCHILD METRIC; MATTER; METRICS

Citation Formats

Xu Feng. Perihelion precession from power law central force and magnetic-like force. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.084008.
Xu Feng. Perihelion precession from power law central force and magnetic-like force. United States. doi:10.1103/PHYSREVD.83.084008.
Xu Feng. Fri . "Perihelion precession from power law central force and magnetic-like force". United States. doi:10.1103/PHYSREVD.83.084008.
@article{osti_21541474,
title = {Perihelion precession from power law central force and magnetic-like force},
author = {Xu Feng},
abstractNote = {By the Laplace-Runge-Lenz (LRL) vector, we analyzed perihelion precessions of orbit with arbitrary eccentricity from perturbations of 1) power law central force and 2) fThusmagnetic-like force. Exact and analytically closed expressions for the precession rate are derived in both cases. In the central force case, we give a further expansion expression of precession rate in orders of eccentricity, and a rule judging pro- or retrograde precession is also given. We applied the result of central force to precessions of a planet in 1) Schwarzschild space-time, for which the formula for the Mercury's 43''/century is reproduced, and 2) spherically distributed dark matter, for which we find a formula that is a generalization of the result derived by others for circular orbit. In the magnetic case, the use of the LRL vector proves to be simple and efficient. An example of magnetic-like perturbation is also discussed.},
doi = {10.1103/PHYSREVD.83.084008},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 83,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2011},
month = {Fri Apr 15 00:00:00 EDT 2011}
}