# Equations of motion of the mass centers in a scalar theory of gravitation: Expansion in the separation parameter

@article{Arminjon2002EquationsOM, title={Equations of motion of the mass centers in a scalar theory of gravitation: Expansion in the separation parameter}, author={Mayeul Arminjon}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2002} }

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 introduced within an alternative scalar theory of gravitation, though it may be defined similarly in other theories. This framework allows one to truncate the translational equations of motion at any well-defined order. Here, the post-Newtonian (PN) equations valid in the scalar theory are truncated beyond the order eta^3…

## 6 Citations

Point-particle limit in a scalar theory of gravitation and the weak equivalence principle

- Physics
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A scalar theory with a preferred reference frame is summarized. To test that theory in celestial mechanics, an "asymptotic" post-Newtonian (PN) scheme has been developed. This associates a conceptual…

Testing a theory of gravity in celestial mechanics: a new method and its first results for a scalar theory

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A new method of post-Newtonian approximation (PNA) for weak gravitational fields is presented together with its application to test an alternative, scalar theory of gravitation. The new method…

Testing a theory of gravity in celestial mechanics: a new method and its application to a new scalar theory

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A new method of post-Newtonian approximation (PNA) for weak gravitational fields is presented together with its application to test an alternative, scalar theory of gravitation. The new method…

Gravitational Effects on Light Rays and Binary Pulsar Energy Loss in a Scalar Theory of Gravity

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We summarize a scalar bimetric theory of gravity with a preferred reference frame. The dynamics are governed by an extension of Newton's second law. We recover geodesic motion together with Newton's…

Gravity as Archimedes’ Thrust and a Bifurcation in that Theory

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- 2004

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, is recalled and…

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