The accumulation of integration error.

Details The accumulation of integration error. The accumulation of integration error.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..109n&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 109 - 116

Computer Science

Planets: Orbital Evolution, Numerical Methods: Orbital Evolution

Scientific paper

The accumulation of integration error is discussed in relation to the LONGSTOP 1A and 1B numerical integrations of the orbits of the outer planets spanning 9.3 and 100 million years respectively. Various error sources are listed and the present understanding of their effects is discussed. It is shown that the error growth in the final integrations is due to the finite-precision arithmetic (the so called rounding-off error). A semi-empirical formula, containing an unknown numerical coefficient, is given to describe the accumulation of rounding-off error; by comparing it with the error found in the LONGSTOP integrations the value of the numerical coefficient is obtained.

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