The motion of vibrating systems in Schwarzchild spacetime

Details The motion of vibrating systems in Schwarzchild spacetime The motion of vibrating systems in Schwarzchild spacetime

Jan 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010iaus..261..147h&link_type=abstract

Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Analysis, Proceedings of the International Astronomica

Astronomy and Astrophysics

Astronomy

Gravitation, General Relativity, Schwarzchild Geometry, Vibrating Systems

Scientific paper

In this communication, the effects of vibrations at high frequencies onto a freely falling two-body system in Schwarzschild spacetime are investigated. We present these effects for different kinds of reference motions, all of which are placed in regions of weak gravitation: circular orbits, radial free fall (with different initial velocities) and radial free fall with a small tangential velocity. The vibrations induce a change in the motion of the vibrating system, which is characterized by a radial deviation between the vibrating system and the reference motion of the non-vibrating system. For a circular orbit, we show that the maximal radial deviation increases linearly with the initial radius. For a radial free fall, the radial deviation after one oscillation decreases quadratically with respect to the initial radius.

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