TITLE:
Energy Conservation and Gravitational Wavelength Effect of the Gravitational Propagation Delay Analysis
AUTHORS:
Philipp Kornreich
KEYWORDS:
Propagation Delay, Gravitation, Newtonian Mechanics, Lagrangian, Hamiltonian, Constants, Gravitational Waves
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.4,
April
30,
2017
ABSTRACT: The motion of objects where the interaction propagated with a finite velocity was analyzed in my previous paper “The Contribution of the Gravitational Propagation Delay to Orbital and Center of Mass Motions”. It is shown here that this analysis is valid for the case when the wavelength of the gravitational wave excited by the motion of the masses is much larger than the system of masses. It is also proven here that the conclusion reached in my previous paper conserves energy. Since this interaction is conservative, the energy is equal to the Hamiltonian. Therefore, the Hamiltonian is calculated and it is shown that the time derivative of the Hamiltonian is equal to zero. Thus, the Hamiltonian and therefore, the energy, are constants.