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Errors in numerical integrations and chaotic motions
Published online by Cambridge University Press: 12 April 2016
Abstract
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.
- Type
- Section IV. Dynamics of Comets: Numerical Modelling
- Information
- International Astronomical Union Colloquium , Volume 83: Dynamics of Comets: Their Origin and Evolution , 1985 , pp. 215 - 226
- Copyright
- Copyright © Cambridge University Press 1985