vascular 发表于 2025-3-25 03:55:16

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Paradox 发表于 2025-3-25 10:11:16

Perturbation theory,ution of the restricted three-body problem can be investigated through perturbation theories, which were developed in the 18th and 19th centuries; they are used nowadays in many contexts of Celestial Mechanics, from ephemeris computations to astrodynamics.

aspersion 发表于 2025-3-25 12:38:21

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laceration 发表于 2025-3-25 19:00:53

Determination of periodic orbits, more precisely, a truncation of the continued fraction expansion of an irrational frequency yields a sequence of rational numbers, which correspond to periodic orbits eventually approximating a quasi-periodic torus.

patriarch 发表于 2025-3-25 21:35:51

,Kepler’s problem, states that two bodies attract each other through a force which is directly proportional to the product of the masses and inversely proportional to the square of their distance .: . where . is the gravitational constant, amounting to ., and . is the unit vector joining the two bodies. Newton’s laws of dynamics can be stated as follows:

射手座 发表于 2025-3-26 03:36:14

Rotational dynamics,yer-Deprit variables (Section 5.2). We consider first the free rigid body motion (Section 5.3), and then the perturbed one under the effect of the gravitational influence of a primary body (Section 5.4).

佛刊 发表于 2025-3-26 06:28:52

Long-time stability,arbitrarily far regions of the phase space. This phenomenon is known as . (Section 8.1) and a theorem due to N.N. Nekhoroshev allows us to state that it takes place at least on exponentially long times (Section 8.2, see also ).

RAG 发表于 2025-3-26 12:29:20

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PURG 发表于 2025-3-26 14:05:45

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两栖动物 发表于 2025-3-26 17:00:36

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查看完整版本: Titlebook: Stability and Chaos in Celestial Mechanics; Alessandra Celletti Book 2010 The Editor(s) (if applicable) and The Author(s), under exclusive