Mathematics – Mathematical Physics
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jmp....16.1145y&link_type=abstract
Journal of Mathematical Physics, vol. 16, May 1975, p. 1145-1147.
Mathematics
Mathematical Physics
3
Orbit Perturbation, Particle Motion, Planetary Orbits, Quadrupoles, Relativistic Effects, Celestial Geodesy, Conformal Mapping, Metric Space, Orbital Mechanics, Particle Mass, Schwarzschild Metric, Two Body Problem
Scientific paper
The geodesic curves for a static axially symmetric metric and their first integrals of motion are calculated. The conformal mapping found by Erez and Rosen leading from the axially symmetric metric to the Schwarzschild spherically symmetric metric is applied and if a quadrupole moment is taken into account initially, a correction to the motion of a planet moving in the field of the sun in the equatorial plane is found. The results are compatible with Schwarzschild solution and motion in a classical quadrupole field. The main result is a justification of the usual procedure of simply adding relativistic and classical perturbations on planetary orbits.
Yaakobi D.
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