378(4): Development with the Hamiltonian Incorporated

This note shows how the orbits can be aether engineered with suitable choice of components of the kappa vector as initial conditions. From now on it is also possible to use the other ECE2 field equations and incorporate fluid gravitation. So far we have used only the “pure” ECE2 lagrangian and hamiltonian, the gravitational Coulomb Law of ECE2 and the gravitational Faraday law of induction of ECE2 in the gravitostatic limit (no gravitomagnetic field present). So it is possible to describe any orbit and any precession with ECE2 relativity. It is already capable of giving a precise description of light deflection due to gravitation. This methodology can also be extended to the geodetic and Lense Thirring precessions. The end result is that the obsolete EGR is replaced completely by ECE2. This is a very small sample of what ECE2 gravitational field theory is capable of. It rewrites the whole of Jackson, with the addition of the kappa vector and orbital equations. For example there is a gravitational ECE2 Poisson equation and all its well known solutions adapted directly from electrostatics.


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