Analytical Solution for the Deformation of a Cylinder under Tidal Gravitational Forces

Physics – Classical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

23 pages, 3 figures

Scientific paper

10.1088/0264-9381/23/24/006

Quite a few future high precision space missions for testing Special and General Relativity will use optical resonators which are used for laser frequency stabilization. These devices are used for carrying out tests of the isotropy of light (Michelson-Morley experiment) 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. Therefore in this article we investigate the modeling of optical resonators in a space environment. Usually for simulation issues the Finite Element Method (FEM) is applied in order to investigate the influence of disturbances on the resonator measurements. However, for a careful control of the numerical quality of FEM simulations a comparison with an analytical solution of a simplified resonator model is beneficial. In this article we present an analytical solution for the problem of an elastic, isotropic, homogeneous free-flying cylinder in space under the influence of a tidal gravitational force. The solution is gained by solving the linear equations of elasticity for special boundary conditions. The applicability of using FEM codes for these simulations shall be verified through the comparison of the analytical solution with the results gained within the FEM code.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Analytical Solution for the Deformation of a Cylinder under Tidal Gravitational Forces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analytical Solution for the Deformation of a Cylinder under Tidal Gravitational Forces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical Solution for the Deformation of a Cylinder under Tidal Gravitational Forces will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-598379

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.