Influence of gravitational waves on circular moving particles

Abstract

We investigate the influence of a gravitational wave background on particles in circular motion. We are especially interested in waves leading to stationary orbits. This consideration is limited to circular orbits perpendicular to the incidence direction. As a main result of our calculation we obtain in addition to the well-known alteration of the radial distance a time dependent correction term for the phase modifying the circular motion of the particle. A background of gravitational waves creates some kind of uncertainty.

Figures adjusted to correction term for the angular velocity, and references added

References in corpus (7)

• Tests of general relativity from timing the double pulsar
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Where post-Newtonian and numerical-relativity waveforms meet
• The Memory Effect for Plane Gravitational Waves
• Gravitational Lensing by Spinning Black Holes in Astrophysics, and in the Movie Interstellar
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• Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in General Relativity

Cited by in corpus (3)

• Velocity Memory Effect for Polarized Gravitational Waves
• Scaling and conformal symmetries for plane gravitational waves
• Ion Traps and the Memory Effect for Periodic Gravitational Waves