Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26a....73...82m&link_type=abstract
Astronomy and Astrophysics, vol. 73, no. 1-2, Mar. 1979, p. 82-89.
Astronomy and Astrophysics
Astrophysics
12
Celestial Mechanics, Cosmology, Equations Of Motion, Minkowski Space, Two Body Problem, Hubble Diagram, Invariance, Kepler Laws, Secular Variations, Space-Time Functions
Scientific paper
On the assumption that a physical equation must preserve its form under both coordinate and unit transformations, a generalized equation of motion is obtained which contains a nonzero coefficient of metrical connection that must be determined on the basis of a gauging condition. For this condition, it is proposed that the Minkowski metric is a formally correct solution to the general scale-covariant field equation in empty space. A gauge that varies as the inverse of cosmic time is derived. The classical two-body problem is then examined in the framework of a Newtonian-type approximation to the equation of motion. Solutions are obtained which indicate that the trajectories of the planets, which closely resemble the usual Keplerian orbits, also include a very slight superimposed outward motion with an expansion rate equal to the Hubble rate.
Bouvier Pierre
Maeder Andre
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