# Influence of gravitational waves on circular moving particles

## TL;DR

This paper studies how gravitational waves affect particles in circular orbits, revealing phase modifications and uncertainties in their motion, especially for waves that produce stationary orbits.

## Contribution

It introduces a detailed analysis of gravitational wave effects on circular particle orbits, including phase corrections and orbit uncertainties, which was not previously characterized.

## Key findings

- Gravitational waves cause phase modifications in circular orbits.
- A time-dependent correction term affects the particle's phase.
- Gravitational wave background introduces uncertainty in orbital motion.

## 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.