Author(s)

Philipp Kornreich

1090 Wien, Austria King of Prussia, PA 19406, USA.

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.

Propagation Delay, Gravitation, Newtonian Mechanics, Lagrangian, Hamiltonian, Constants, Gravitational Waves

Kornreich, P. (2017) Energy Conservation and Gravitational Wavelength Effect of the Gravitational Propagation Delay Analysis. Journal of Applied Mathematics and Physics, 5, 912-921. doi: 10.4236/jamp.2017.54080.