LAITY 发表于 2025-3-26 22:04:32
The three-body problem and the Lagrangian solutions, coincides with the other point-mass. As shown by Poincaré , the dynamics becomes extremely complicated when you add the gravitational influence of a third body. In Section 4.1 we shall focus on a particular three-body problem, known as the . three-body problem, where it is assumed that the mas男生戴手铐 发表于 2025-3-27 05:10:32
Rotational dynamics,s. To a first approximation one can deal with a rigid body motion, where no internal deformations are considered. A suitable model for the rotational dynamics is obtained through the introduction of the Euler angles (Section 5.1), while the Hamiltonian formulation can be derived in terms of the AndoBronchial-Tubes 发表于 2025-3-27 07:59:12
Perturbation theory,the prototype of a nearly-integrable mechanical system (Section 6.1); the integrable part is given by the two-body approximation, while the perturbation is due to the gravitational influence of the other primary. A typical example is represented by the motion of an asteroid under the gravitational a仇恨 发表于 2025-3-27 11:19:49
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http://reply.papertrans.cn/88/8753/875294/875294_35.pngcortisol 发表于 2025-3-27 19:18:46
Determination of periodic orbits,orbit and orbital resonances (see ). From the dynamical point of view periodic orbits can be used to approximate quasi-periodic trajectories; more precisely, a truncation of the continued fraction expansion of an irrational frequency yields a sequence of rational numbers, which correspond tHemodialysis 发表于 2025-3-28 00:44:10
http://reply.papertrans.cn/88/8753/875294/875294_37.pngCocker 发表于 2025-3-28 03:18:58
Regularization theory,used in Celestial Mechanics, when two or more bodies approach a collision . Using Hamiltonian formalism we review the most elementary regularizing methods, known as Levi-Civita, Kustaanheimo-Stiefel and Birkhoff transformations .Ringworm 发表于 2025-3-28 07:16:50
978-3-642-26156-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE引起 发表于 2025-3-28 12:15:35
Overview: Provides a comprehensive survey of the tools of celestial mechanics from classical theories to modern methods.Presents a variety of useful computer – assisted techniques with practical examples of app978-3-642-26156-5978-3-540-85146-2