Feed: Dr. Myron Evans
Posted on: Wednesday, May 15, 2013 2:57 AM
Author: metric345
Subject: 242(6): Polar Angle Theta for any Planar Orbit and any Force law
| This is given in eq. (22) as a function of r for any force law F(r) between a mass m orbiting a mass M. There is an unknown constant of integration x as shown, but the result is perfectly general. For simplicity it has been assumed that the constant of integration y is zero. In the Newtonian theory the area is given by eq. (4), and this is how epsilon enters the analysis. The Newtonian force law is
F(r) = – mMG / r squared and the Newtonian L sub 0 is L sub 0 squared = alpha m squared MG The time T is the time for one complete orbit. For the Earth this is one year. Eq. (25) is a new diffusion equation of astronomy. The integrals in Eqs. (22) and (23) are not analytical so must be evaluated with numerical integration as done by Dr. Horst Eckardt in the last note from him. This is no problem with contemporary software and hardware. This is a completely new discovery and method in astronomy so it will take some experimentation to fine tune it. We are just at the beginning of this procedure now.
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