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.
Highlights
It is determined here, that for the case when the wavelength of the gravitational wave generated by the motion of the point objects are much larger than the distance between objects, Newtonian Classical Mechanics gives accurate results
Kornreich 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” [1]
It is shown here that the very successful Kepler Newtonian model, and the mathematical model analyzing the effect of the gravitational propagation delay is valid
Summary
That for the case when the wavelength of the gravitational wave generated by the motion of the point objects are much larger than the distance between objects, Newtonian Classical Mechanics gives accurate results. P. Kornreich 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” [1]. Kornreich 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” [1] This analysis has been questioned if the result conserves energy. It is proven that the model in the above paper does conserve energy
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