Les méthodes nouvelles de la mécanique céleste¶
Poincaré, H. (1899). Les méthodes nouvelles de la mécanique céleste. 1-3.
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1 citation across 1 artifact.
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Primes¶
- Perturbation
- What is the leading-order effect on an observable? Validity regime. The perturbative analysis holds while the perturbation remains small; convergence or asymptotic accuracy of the series is specifiable; outside the regime, nonlinear effects dominate and perturbative analysis breaks down.
This sourceRevolutionary treatment of perturbation theory in celestial mechanics; discovers the small-divisor problem showing that secular divergences appear in long-period perturbative expansions; establishes modern dynamical-systems perspective on perturbation sensitivity.
- What is the leading-order effect on an observable? Validity regime. The perturbative analysis holds while the perturbation remains small; convergence or asymptotic accuracy of the series is specifiable; outside the regime, nonlinear effects dominate and perturbative analysis breaks down.
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