Apsidal motion in the Ernst space-time

Details Apsidal motion in the Ernst space-time Apsidal motion in the Ernst space-time

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ncimb..87...35e&link_type=abstract

Nuovo Cimento B, Serie 11 (ISSN 0369-3554), vol. 87 B, May 11, 1985, p. 35-40. Research supported by the Resource Center for Sci

Astronomy and Astrophysics

Astronomy

3

Apsides, Black Holes (Astronomy), Interstellar Magnetic Fields, Kepler Laws, Relativistic Effects, Celestial Mechanics, Particle Trajectories, Precession, Space-Time Functions

Scientific paper

The precession of the Keplerian orbits of a test particle under the influence of the mass of the source and of an external magnetic field is investigated analytically, applying the metric of Ernst (1976) and the trajectory equation for a particle confined in the equatorial plane derived by Esteban (1984). A formula for the periastron shift per revolution is obtained, and the effect of the magnetic field is shown to be significant only for very strong magnetic fields in the presence of supermassive black holes, as may exist in the centers of some galaxies. For the planet Mercury, for example, the dimensionless mass-magnetic-field parameter beta is estimated as 8.5 x 10 to the -27th.

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