Stablization and time transformation

Details Stablization and time transformation Stablization and time transformation

Mar 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cha%26a...6...37h&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 6, Issue 1, p. 37-42.

Astronomy and Astrophysics

Astrophysics

Scientific paper

We suggest a simple stabilization technique to reduce the along-track error in the numerical Integration of the Lagrange's equations of motion. We also investigate the equations of motion of the two-body problem after applying the Sundman transformation dt = rα ds, both with and without introducing the energy integral. In both cases, we show how the stability of the equations varies with α and in the case with the energy integral, we show that every solution is a quasi-periodic function of s with two frequencies.

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