Orbital period derivative of a binary system using an exact orbital energy equation

TL;DR

This paper proposes that the equations of motion derived from periodic relativity are exact and can be directly applied to analyze orbital period derivatives and gravitational waveforms in binary systems, simplifying calculations.

Contribution

It introduces exact equations of motion in periodic relativity that eliminate the need for higher-order corrections in orbital energy calculations.

Findings

Equations are exact and applicable to pulsars and inspiraling binaries.

Eliminates the need for higher-order xPN corrections.

Supports analysis of gravitational waveforms and orbital period derivatives.

Abstract

It is proposed that the equations of motion in periodic relativity which yielded major predictions of general relativity are exact in nature and can be applied to pulsars and inspiraling compact binaries for analyzing orbital period derivative and two polarization gravitational wave forms. Exactness of these equations eliminates the need for higher order xPN corrections to the orbital energy part of the balance equation. This is mainly due to the introduction of dynamic WEP which states that the gravitational mass is equal to the relativistic mass.