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The motion of vibrating systems in Schwarzchild spacetime

Published online by Cambridge University Press:  06 January 2010

A. Hees ,
L. Bergamin  and
P. Delva
A. Hees
Affiliation:
European Space Agency, The Advanced Concepts Team, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlandsaurelien.hees@oma.be Royal Observatory of Belgium (ROB), Avenue Circulaire 3, 1180 Bruxelles, Belgium
L. Bergamin
Affiliation:
European Space Agency, The Advanced Concepts Team, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlandsbergamin@tph.tuwien.ac.at
P. Delva
Affiliation:
European Space Agency, The Advanced Concepts Team, Keplerlaan 1, 2201 AZ Noordwijk, The NetherlandsPacome.Delva@esa.int
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Abstract

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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.

Keywords

gravitationgeneral relativitySchwarzchild geometryvibrating systems
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 5 , Symposium S261: Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Analysis , April 2009 , pp. 147 - 151
Copyright
Copyright © International Astronomical Union 2010

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