Non-Riemann geometrizable effects in the gravitational one-body problem

Details Non-Riemann geometrizable effects in the gravitational one-body problem Non-Riemann geometrizable effects in the gravitational one-body problem

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..10..307r&link_type=abstract

General Relativity and Gravitation, vol. 10, Mar. 1979, p. 307-312.

Other

10

Gravitation Theory, Metric Space, Riemann Manifold, Space-Time Functions, Equations Of Motion, Orbit Calculation, Orbital Elements, Orbital Mechanics

Scientific paper

The question is considered of whether the 'correct' theory of gravity is a metric theory. The metric hypothesis is shown to place severe restrictions on the form of the equation of motion for the one-body problem. By relaxing these restrictions, nonmetric contributions to the equation of motion are included, and the solution in the post-Newtonian approximation is given. The solution given contains five arbitrary parameters in place of the usual two (beta, gamma) of metric theories. One of them produces a secular change in the eccentricity; the others contribute to the perihelion advance and to periodic terms. Only certain combinations of these parameters can be determined even from orbits with different eccentricities.

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