Relativistic eccentric anomalies.

Details Relativistic eccentric anomalies. Relativistic eccentric anomalies.

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jmp....39.5925t&link_type=abstract

Journal of Mathematical Physics, Vol. 39, No. 11, p. 5925 - 5933

Mathematics

Mathematical Physics

1

Two-Body Problem: Relativistic Effects

Scientific paper

The author uses Kepler's eccentric anomaly in order to get explicit equations for the planetary orbits in a solar system. By successively modifying the corresponding Lagrangian, he builds a Lagrangian for a relativistic two-body problem, the trajectories of which are conics in Minkowski space. The equations of these trajectories, projected on a three-space, exhibit new anomalies.

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