Displaying similar documents to “On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation”

On the KAM - Theory Conditions for the Kirchhoff Top

Christov, Ognyan (1997)

Serdica Mathematical Journal

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* Partially supported by Grant MM523/95 with Ministry of Science and Technologies. In this paper the classical Kirchhoff case of motion of a rigid body in an infinite ideal fluid is considered. Then for the corresponding Hamiltonian system on the zero integral level, the KAM theory conditions are checked. In contrast to the known similar results, there exists a curve in the bifurcation diagram along which the Kolmogorov’s condition vanishes for certain values of the parameters. ...

A BF-regularization of a nonstationary two-body problem under the Maneff perturbing potential.

Ignacio Aparicio, Luis Floría (1997)

Extracta Mathematicae

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The process of transforming singular differential equations into regular ones is known as regularization. We are specially concerned with the treatment of certain systems of differential equations arising in Analytical Dynamics, in such a way that, accordingly, the regularized equations of motion will be free of singularities.

Post-Newtonian approximations and equations of motion of general relativity

Gerhard Schäfer (1997)

Banach Center Publications

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A post-Newtonian approximation scheme for general relativity is defined using the Arnowitt-Deser-Misner formalism. The scheme is applied to perfect fluids and point-mass systems. The two-body point-mass Hamiltonian is given explicitly up to the post 2 . 5 -Newtonian order.

Serdica Journal of Computing : The First Ten Years

Derzhanski, Ivan, Siruk, Olena (2017)

Serdica Journal of Computing

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Serdica Journal of Computing has completed its first decade. On this occasion we offer some notes, statistical and otherwise, on the first ten volumes of the journal, concerning the number of authors and papers, the geographical and institutional distribution of authors’ affiliations, the structural semantic makeup, the dynamics of the editorial board, and various important developments in this period. ACM Computing Classification System (1998): A.0.

The Lagrange rigid body motion

Tudor Ratiu, P. van Moerbeke (1982)

Annales de l'institut Fourier

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We discuss the motion of the three-dimensional rigid body about a fixed point under the influence of gravity, more specifically from the point of view of its symplectic structures and its constants of the motion. An obvious symmetry reduces the problem to a Hamiltonian flow on a four-dimensional submanifold of s o ( 3 ) × s o ( 3 ) ; they are the customary Euler-Poisson equations. This symplectic manifold can also be regarded as a coadjoint orbit of the Lie algebra of the semi-direct product group S O ( 3 ) × s o ( 3 ) with...