Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points

Details Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..40...95m&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 40, no. 2, 1987, p. 95-110.

Computer Science

Numerical Analysis

Celestial Mechanics, Hypergeometric Functions, Numerical Analysis, Orbit Calculation, Two Body Problem, Computerized Simulation, Equations Of Motion, Libration, Many Body Problem, Numerical Integration, Orbital Mechanics

Scientific paper

A modification to the conventional polynomial extrapolation applied to the Gragg method (Gragg, 1965; Bulirsch and Stoer, 1966) is proposed which yields an arbitrary order solution and conserves the Jacobi motion constant. The modification yields a better approximation of the exact solution than convential polynomial extrapolation. The present method can be used to numerically determine the orbits near the colinear and triangular equilibrium points of any two-body system.

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