Round-off error in long-term orbital integrations using multistep methods

Details Round-off error in long-term orbital integrations using multistep methods Round-off error in long-term orbital integrations using multistep methods

Apr 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..58..339q&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 58, no. 4, p. 339-351

Astronomy and Astrophysics

Astronomy

4

Approximation, Backward Differencing, Celestial Mechanics, Error Analysis, Numerical Integration, Orbit Calculation, Orbital Mechanics, Planetary Orbits, Errors, Trajectory Optimization

Scientific paper

Techniques for reducing roundoff error are compared by testing them on high-order Stormer and summetric multistep methods. The best technique for most applications is to write the equation in summed, function-evaluation form and to store the coefficients as rational numbers. A larger error reduction can be achieved by writing the equation in backward-difference form and performing some of the additions in extended precision, but this entails a larger central processing unit (cpu) cost.

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