TITLE:
On the Impact of the Relativistic Acceleration of ENET on the Electromagnetic Analogy of Gravitational Orbits’ Decay
AUTHORS:
Barbaro Quintero-Leyva
KEYWORDS:
Newtonian Gravitation, Newton’s 2nd Law, Theory of Relativity, Electromagnetism, Gravitational Waves
JOURNAL NAME:
Open Access Library Journal,
Vol.6 No.8,
August
26,
2019
ABSTRACT: The Kepler 3rd law (K3L) was extended considering the gravitational field, in analogy to electricity and magnetism (E&M), produced from the circular motion of point masses of a binary system. Additionally the Newtonian acceleration in the field equation was replaced with the relativistic acceleration (ENET). It was found out that the increase of the angular speed with the decrease of the mass separation is less drastic for the E&M analogy than for the K3L case. The use of the ENET acceleration however yielded a more drastic profile than the K3L results. A gravitational model (in analogy to E&M) for circular orbits reported previously was extended to cover relativistic speeds. It was found out that even for low speeds the linear-momentum term was not negligible. The extended model yielded faster orbital decay than the non-extended one. The use of the extended K3L using ENET yielded even faster orbit decay but slower than the results of the linearized general theory of relativity (LGR). Similar results were obtained when the gravitational radiation fields were compared. The period decay (for circular orbit) of the Hulse and Taylor pulsar binary was simulated, the extended models yielded larger period decay than the non-extended one but smaller than the results of LGR.