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The motion of vibrating systems in Schwarzchild spacetime

Published online by Cambridge University Press:  06 January 2010

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.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2010

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