The interval description of dynamics of celestial bodies in the planetary problem

The interval approach to computation of dynamics of celestial bodies in the planetary problem has been considered. It is based on the refusal from idealization of infinitely high resolving capacity of measuring tools, and forms an absolutely exact algorithm free of round-off error accumulation effec...

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Bibliographic Details
Published in:arXiv.org 2010-02
Main Author: Petrov, Valeriy V
Format: Article
Language:English
Subjects:
Algorithms
Celestial mechanics
Orbital mechanics
Predictions
Roundoff error
Solar system
Online Access:Get full text
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Summary:The interval approach to computation of dynamics of celestial bodies in the planetary problem has been considered. It is based on the refusal from idealization of infinitely high resolving capacity of measuring tools, and forms an absolutely exact algorithm free of round-off error accumulation effect. The possibilities of the proposed approach are shown by the examples of Kepler's Problem and the problem of stability of the Solar system major planets for time interval of 6 billion years. The comparison of the interval and classical predictions of Kepler's particle location in Kepler's orbit provides support for the effect predicted by the theory, namely - conservation of the interval within which the values of difference of interval and classical coordinates lay with time. The computational results of the Solar system major planet orbital dynamics agree with the results obtained with the classical approach.
ISSN:2331-8422