Field theory III. Energy spectrum and stationary orbit elements in central gravitational fields

Details Field theory III. Energy spectrum and stationary orbit elements in central gravitational fields Field theory III. Energy spectrum and stationary orbit elements in central gravitational fields

Aug 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972svphj..15.1108g&link_type=abstract

Soviet Physics Journal, Volume 15, Issue 8, pp.1108-1114

Physics

Scientific paper

The field-dynamical equilibrium equation is solved for the case of a particle moving within the bounded sphere of influence of the gravitational field of a central body. It is shown that under these conditions a system of stationary orbits exists, the fundamental indices of which are the multiplicities of the specific total energy and specific angular momentum squared relative to a certain energy packet and a certain “quantum” of action, respectively, which are constants of the given system. A tight analogy is noted between the resulting analytical expressions and the well-known (for microsystems) Bohr postulates, quantization rules for elliptical orbits, and spatial quantization rules. In addition, two more “quantum” numbers are postulated, which completely determine the position of a stationary orbit in a system associated with a central body. As an illustration in support of the theoretical inferences, results are given from an analysis of astronomical data on the distribution of the planets and asteroids with respect to their average distances in the system of a central body, i.e., the sun. This analysis very sharply delineates a hitherto unknown law corresponding to the analytical formulas obtained for gravidynamically equilibrium orbits. It is hypothesized that a much closer analogy exists between the physical substance of the mechanical phenomena in planetary and atomic systems than is customarily acknowledged at the present time.

Affiliated with

Also associated with

No associations

Rating

Field theory III. Energy spectrum and stationary orbit elements in central gravitational fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Field theory III. Energy spectrum and stationary orbit elements in central gravitational fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Field theory III. Energy spectrum and stationary orbit elements in central gravitational fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-873437