A Quasirelativistic Theory of Two Finite Masses,

Abstract

Presented here in Euclidean space and Newtonian time is a quasirelativistic theory of two-body motion in which both bodies have mass. The theory arises from superimposing directly onto Newton's Law of Gravitation the relativistic trait of interaction at finite speed, and from analyzing the acceleration of a body relative to an inertial frame of Mach rather than to coordinates centered in the opposite body. The principal non-Newtonian result is a secular increase of the semi-major axis. A result of considerably less magnitude is a forward rotation of the line of apsides. Quantitative effects of the theory are obtained by numerical integration of representative orbits of the solar system and of binary stars. Results are tabulated and compared with corresponding integrations of the Newtonian and, for the planets, Schwarzschildian equations. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0763431

Entities

People

  • James Earl Strub

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Astronomical Bodies
  • Binary Stars
  • Equations
  • Mathematics
  • Motion
  • Numerical Integration
  • Rotation
  • Solar System
  • Stars

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers