7 citations · 8 across the 3 of their papers we have counts for
11 papers
Equations of motion according to the asymptotic post-Newtonian scheme for general relativity in the harmonic gauge
Mayeul Arminjon
The asymptotic scheme of post-Newtonian approximation defined for general relativity (GR) in the harmonic gauge by Futamase & Schutz (1983) is based on a family of initial data for…
Gravity as Archimedes' thrust and a bifurcation in that theory
Mayeul Arminjon
Euler's interpretation of Newton's gravity (NG) as Archimedes' thrust in a fluid ether is presented in some detail. Then a semi-heuristic mechanism for gravity, close to Euler's, i…
Motion of the mass centers in a scalar theory of gravitation: the point particle limit
Mayeul Arminjon
We investigate the point-particle limit of the equations of motion valid for a system of extended bodies in a scalar alternative theory of gravitation: the size of one of the bodie…
Equations of motion of the mass centers in a scalar theory of gravitation: Expansion in the separation parameter
Mayeul Arminjon
An asymptotic framework is defined for the small parameter eta which quantifies a good separation between the extended bodies that make a weakly gravitating system. This is introdu…
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…
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…