High order relativistic corrections to Keplerian motion | Zendy

L. Fernández–Jambrina | Zendy; C. Hoenselaers | Zendy

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High order relativistic corrections to Keplerian motion

Author(s) -

L. Fernández–Jambrina,

C. Hoenselaers

Publication year - 2001

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1335556

Subject(s) - physics , geodesic , angular momentum , classical mechanics , precession , orbit (dynamics) , mathematical physics , invariant (physics) , minkowski space , circular orbit , mathematical analysis , mathematics , quantum mechanics , engineering , aerospace engineering

The first terms of the general solution for an asymptotically flat stationaryaxisymmetric vacuum spacetime endowed with an equatorial symmetry plane arecalculated from the corresponding Ernst potential up to seventh order in theradial pseudospherical coordinate. The metric is used to determine theinfluence of high order multipoles in the perihelion precession of anequatorial orbit and in the node line precession of a non-equatorial orbit withrespect to a geodesic circle. Both results are written in terms of invariantquantities such as the Geroch-Hansen multipoles and the energy and angularmomentum of the orbit.Comment: 23 pages, LaTeX2

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