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Analytical Solution for the Deformation of a Cylinder under Tidal Gravitational Forces
Author(s) -
Scheithauer Silvia,
Lämmerzahl Claus
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810735
Subject(s) - isotropy , resonator , physics , gravitation , optical cavity , gravitational redshift , classical mechanics , cylinder , general relativity , universality (dynamical systems) , optics , mechanics , laser , quantum mechanics , geometry , mathematics
Quite a few future high precision space missions for testing Special and General Relativity will use optical resonators which are used for laser frequency stabilisation. These devices are used for carrying out tests of the isotropy of light and of the universality of the gravitational redshift. As the resonator frequency not only depends on the speed of light but also on the resonator length, the quality of these measurements is very sensitive to elastic deformations of the optical resonator itself. As a consequence, a detailed knowledge about the deformations of the cavity is necessary. In this note we derive for the first time an analytical solution for the problem of an elastic, isotropic, homogeneous free–flying cylinder in space under the influence of a tidal gravitational force. A detailed derivation can be found in [4]. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)