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astro-ph2001
A numerical solution of the inverse problem in classical celestial mechanics, with application to Mercury's motion
Mayeul Arminjon
It is attempted to obtain the masses of the celestial bodies, the initial conditions of their motion, and the constant of gravitation, by a global parameter optimization. First, a…
astro-ph2000
Equations of motion for the mass centers in a scalar theory of gravitation
Mayeul Arminjon
A scalar theory of gravitation with a preferred reference frame (PRF) is considered, that accounts for special relativity and reduces to it if the gravitational field cancels. The…