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

LAITY

The three-body problem and the Lagrangian solutions, coincides with the other point-mass. As shown by Poincaré [149], 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

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 Ando

Bronchial-Tubes

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

谈判

cortisol

Determination of periodic orbits,orbit and orbital resonances (see [96, 136]). 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 t

Hemodialysis

Cocker

Regularization theory,used in Celestial Mechanics, when two or more bodies approach a collision [171]. Using Hamiltonian formalism we review the most elementary regularizing methods, known as Levi-Civita, Kustaanheimo-Stiefel and Birkhoff transformations [166, 167].

Ringworm

978-3-642-26156-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE

引起

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