Abstract
In the present paper the celestial mechanics consequences (light deflection, radar ranging of the planet, geodetic precession and secular effects in the orbital elements in the two-body problem) for the class of the theories based on the vacuum Jordan's Lagrangian has been considered. In these theories the gravitational constantG is proportional to ϕ−η, ϕ being a scalar field and η, some dimensionless parameter and the local law of conservation of the energy-momentum tensor holds. Of all these theories with different η the most interesting one is that corresponding to η=0. In the postnewtonian approximation this gravitational theory is completely equivalent to the general theory of relativity.
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Finkelstein, A.M. Variable constant of gravitation and celestial mechanics. Celestial Mechanics 2, 237–252 (1970). https://doi.org/10.1007/BF01229498
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DOI: https://doi.org/10.1007/BF01229498