Lectures on Celestial Mechanics¶
Siegel, C. L., & Moser, J. K. (1971/1995). Lectures on Celestial Mechanics. Springer.
Cited by¶
1 citation across 1 artifact.
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Mechanisms¶
- Perturbative Canonical Transformation
- Its failure mode is the small-divisor problem: near a resonance, the denominators the method introduces can vanish, so a term the expansion tried to cancel instead explodes, and the series that looked convergent silently diverges.
This sourceExplains the small-divisor problem in perturbation theory: near-resonant denominators amplify nominally small terms and can destroy convergence of the formal series.
- Its failure mode is the small-divisor problem: near a resonance, the denominators the method introduces can vanish, so a term the expansion tried to cancel instead explodes, and the series that looked convergent silently diverges.
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