Computational Approach to Gravitational Waves Forms in Stellar Systems as Complex Structures through Keplerian Parameters

TL;DR

This paper develops a computational method to analyze gravitational waveforms emitted by complex stellar systems with various orbital configurations using Keplerian parameters, providing analytical expressions and numerical evaluations.

Contribution

It introduces a novel computational approach for evaluating gravitational waveforms from diverse orbital types based on Keplerian parameters, with analytical derivations for luminosity and amplitude.

Findings

Derived analytical expressions for gravitational wave luminosity and amplitude.

Presented a computational method for waveform evaluation across different orbit types.

Enabled analysis of gravitational waves from complex stellar systems.

Abstract

In this paper we investigate the gravitational waves emission by stellar dynamical structures as complex systems in the quadrupole approximation considering bounded and unbounded orbits. Precisely, after deriving analytical expressions for the gravitational wave luminosity, the total energy output and gravitational radiation amplitude, we present a computational approach to evaluate the gravitational wave-forms from elliptical, circular, parabolic and hyperbolic orbits as a function of Keplerian parameters.