Numerical accuracy in calculations of class /g/ of the restricted problem of three bodies

Details Numerical accuracy in calculations of class /g/ of the restricted problem of three bodies Numerical accuracy in calculations of class /g/ of the restricted problem of three bodies

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975aj.....80..747l&link_type=abstract

Astronomical Journal, vol. 80, Sept. 1975, p. 747-749.

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Error Analysis, Orbit Calculation, Three Body Problem, Numerical Integration, Topology, Truncation Errors

Scientific paper

This paper considers class (g) of the restricted problem of three bodies as an example to analyze the accuracy of the previous numerical work on the problem. Sample orbits of class (g) are investigated for both roundoff error and truncation error. The amount the Jacobian constant, K, needed to be varied in order to have periodicity in the orbits ranged from 0.0000033 to 0.0003025. The error in these results was at about the ninth significant figure, due overwhelmingly to truncation rather than roundoff.

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