Physics
Scientific paper
Apr 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ncimb..26..370c&link_type=abstract
Nuovo Cimento, Sezione B, vol. 26 B, Apr. 11, 1975, p. 370-376.
Physics
1
Gravitation Theory, Gravitational Fields, Newton Theory, Perihelions, Planetary Orbits, Satellite Orbits, Bohr Theory, Electron Orbitals, Fine Structure, Flux Density, Hydrogen Atoms, Quantum Theory
Scientific paper
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 fine-structure 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 fine-structure constant which determines the rate of perihelion advance for an orbit in Sommerfeld's theory.
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