Error estimates for numerical integration of the N-body problem

Details Error estimates for numerical integration of the N-body problem Error estimates for numerical integration of the N-body problem

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981pazh....7..752b&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 7, Dec. 1981, p. 752-755.) Soviet Astronomy Letters, vol. 7, Nov.-Dec. 1981, p. 416-418

Astronomy and Astrophysics

Astronomy

1

Astronomical Coordinates, Error Analysis, Many Body Problem, Numerical Integration, Solar Orbits, Approximation, Cartesian Coordinates, Differential Equations, Planetary Orbits, Solar System, Taylor Series

Scientific paper

Differential equations of the N-body problem in rectangular coordinates are solved by approximating the solution by a Taylor-series segment. A polynomial system of differential equations with constant coefficients is proposed, and in order to use it, the equations of the N-body problem are reduced to the polynomial form. The theorem is then applied to the problem of motion of the planets in the solar system, and some numerical error estimates are given for the sun, Jupiter, Saturn, Uranus, Neptune, and Pluto.

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