Errors in Numerical Integrations and Chaotic Motions [chapter]

A. Milani, A. M. Nobili
1985 Astrophysics and Space Science Library  
The methods to estimate the integration errors, including the effects of truncation, rounding off, and instability of the solutions, are discussed. Polynomial error accumulation depends upon numerical method, stepsize, orbital period and also eccentricity; it is also machine dependent. Comets correspond to the most difficult case of exponentially diverging orbits; however they can be very close to resonant ordered regions.
doi:10.1007/978-94-009-5400-7_19 fatcat:yj6fjxjnh5eapkoovspstior3i