Les méthodes nouvelles de la mécanique céleste

Poincaré, H. (1899). Les méthodes nouvelles de la mécanique céleste. 1-3.

Type

Journal article

Intellectual base

Primary research

Year

1899

Link

https://doi.org/10.1007/bf02742713matched

Cited from

physics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

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.

Verification

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