An extension of Newtonian gravitation theory
Abstract
The energy density of a Newtonian gravitational field is shown to be (g squared) divided by the quantity (86 x pi), where g is the local acceleration due to gravity and G the universal constant of gravitation. In the case of a spherically symmetric object this causes a departure from the inverse square law for g. Allowance for this gravitational energy also introduces to objects a critical radius of size GM divided by twice the square of the speed of light, where M is the mass. Allowance for the gravitational energy of the sun produces a classical advance of the perihelion of a planet at the rate 1/12 of that found in general relativity. It is also shown that direct application of Sommerfeld's finestructure theory to gravitation shows an advance of the perihelion of a satellite orbit which is 1/6 that found in general relativity. The theory defines a gravitational finestructure constant which determines the rate of perihelion advance for an orbit in Sommerfeld's theory.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 April 1975
 DOI:
 10.1007/BF02738566
 Bibcode:
 1975NCimB..26..370C
 Keywords:

 Gravitation Theory;
 Gravitational Fields;
 Newton Theory;
 Perihelions;
 Planetary Orbits;
 Satellite Orbits;
 Bohr Theory;
 Electron Orbitals;
 Fine Structure;
 Flux Density;
 Hydrogen Atoms;
 Quantum Theory;
 Astrophysics