The effect of time transformations on local truncation errors

Details The effect of time transformations on local truncation errors The effect of time transformations on local truncation errors

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..491f&link_type=abstract

Celestial Mechanics, vol. 13, June 1976, p. 491-493.

Mathematics

3

Equations Of Motion, Numerical Integration, Time Functions, Transformations (Mathematics), Truncation Errors, Two Body Problem, Eccentric Orbits, Orbit Perturbation

Scientific paper

The effect of time transformations on the local truncation errors committed during numerical integration of the equations of motion of the two body problem is examined. For the general perturbed two body problem, the derivatives which illustrate the time-transformation effect are difficult to compute and depend on the particular perturbations considered. They are readily computed for the unperturbed problem, however, and are presented here for the case where the eccentricity is 0.9.

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