Document Abstract
In this research paper, we have investigated the dependence of power radiated, energy flux and chirp mass of
gravitational waves on binary system and orbital decay in the space by applying the Einstein General theory of relativity based
on gravitational wave detection technique. The direct detection of gravitational waves, predicted by Einstein’s theory of General
Relativity, marks a revolutionary advancement in our understanding of the universe. The core of this research paper examines
the mechanics of Laser interferometry used by LIGO to detect these minuscule distortions in space time caused by cataclysmic
astrophysical events such as binary black hole mergers and neutron star collisions. It is found that for lower values of chirp
mass, the decay rate is significantly less pronounced, suggesting that systems with lower masses will experience slower orbital
decay. Conversely, higher chirp masses lead to more rapid decay, which is critical in the context of observable gravitational
waves, especially for massive binary systems like black hole mergers. It has also been observed that the higher chirp masses lead
to more rapid decay, which is critical in the context of observable gravitational waves, especially for massive binary systems like
black hole mergers. This research also analyzes that how gravitational waves effect other celestial bodies and also after merging
or colliding what will going to the dynamics of that celestial bodies.
Keywords: Gravitational Waves, Power Radiation, chirp mass, decay rates