The general expression of Binet equation about celestial bodies motion orbits
Abstract
By discussing the existent equations of mass-velocity relation, the equivalent polar coordinate equation and its Binet equation of the mass-velocity relation are given, and the expressions of the mass-velocity relation and mass-energy relation are given too, which include the forms of superluminal motion. Subsequently, using the mass-energy relation, the general expression of the solution of the energy-curvature equation on the medium shell curve method is discussed, and the general expression of Binet equation about orbit of the celestial bodies motion is given. Further more, the analysis solutions of the advance of the perihelion of planets and bending of light for the gravitational force are given.
- Publication:
-
Progress in Geophysics
- Pub Date:
- 2005
- Bibcode:
- 2005PrGeo..20..534Y
- Keywords:
-
- orbit of the celestial bodies motion;
- equations of mass-velocity relation;
- Binet equation;
- superluminal motion;
- advance of the perihelion of planets;
- bending of light;
- gravitational frequency shift