Non-Stationary Star and the Trajectory of a Circulating Test Body

Abstract

A simple model of a spherically symmetric, pulsating star is calculated. The application to the Sun gives a 166-min radial pulsation. The theory of gravitation in flat space-time implies for a spherically symmetric, nonstationary star small time-dependent exterior gravitational effects. The perturbed equations of motion of a test body moving around the non-stationary star are given. The test body moves away from the center during the epoch of collapsing star and moves towards the center during the epoch of expanding star but the converse is also possible under some conditions. The application to the Sun-Earth system is too small to be measured. This effect may be measurable for very compact, non-stationary objects circulated of a nearby test body.