Astronomy and Astrophysics – Astrophysics
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008dda....39.0903m&link_type=abstract
American Astronomical Society, DDA meeting #39, #9.03
Astronomy and Astrophysics
Astrophysics
Scientific paper
A far exterior solution to the Schwarzschild geometry is presented which provides orbital features as relativistic corrections to the Keplerian orbits of classical mechanics. It is emphasized that geometry alone is responsible for contributions to deviations from classical orbits, including precession, reduced radial coordinate, and increased eccentricity. These purely geometric contributions to orbital properties are necessary in the understanding of many astrophysical systems, including galaxies within clusters; stars orbiting black holes at the centers of galaxies and globular clusters; and rates of physical processes relevant to the formation and evolution of galaxies and clusters. Specifically, eccentricity distributions in galaxies within clusters are strongly skewed toward high eccentricities; and dynamical friction timescales for galactic satellites are found to decrease with increasing orbital eccentricity. An equation of orbit is derived which provides a quantitative prediction for increased orbital eccentricity as a natural consequence of general relativity. This orbital equation also serves to provide qualitative understandings of more complex systems. It may be argued that a geometric contribution to eccentricity must be taken into account when explaining residual eccentricities of binary pulsars and dynamical interactions of binary systems with passing stars.
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