It is not yet known (1997) whether the Solar system is stable or not. Common belief is that the Solar system is stable if and only if it is not a resonant system, i.e., whenever its orbital frequencies ωi satisfy an inequality |Σ niωi| ≤ ε for Σi|ni| ≤ N; a similar inequality is true for randomly chosen frequencies. In this paper, we show that the Solar system does not have such resonances, and therefore (if the above-mentioned belief is correct), it is stable.
Reliable Computing – Springer Journals
Published: Oct 14, 2004
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