Fast numerical integration of interplanetary orbits

Details Fast numerical integration of interplanetary orbits Fast numerical integration of interplanetary orbits

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986esasp.255..329d&link_type=abstract

In ESA Proceedings of the Second International Symposium on Spacecraft Flight Dynamics p 329-333 (SEE N87-25354 19-18)

Statistics

Computation

Control Theory, Equations Of Motion, Interplanetary Flight, Interplanetary Transfer Orbits, Numerical Integration, Numerical Stability, Orbit Calculation, Eigenvalues, Jacobi Matrix Method, Newton Second Law

Scientific paper

Mathematical considerations on the stability of the numerical integration of interplanetary orbits lead to a step-size control for the time that minimizes the computation time. The controls are derived from the eigenvalues of the Jacobian of the right-hand sides of Newton's equations of motion. It is shown that the implementation of this control into a multistep method of constant step-size by a time regularization has disadvantages. They can be avoided by integrating the equations of motion by a multistep method with variable step-sizes like Nordsieck's. Initialization problems and the computation of the coefficients of the difference equations for higher order methods are discussed.

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