Displaying similar documents to “Post-Newtonian approximations and equations of motion of general relativity”

Andrew Lenard: a mystery unraveled.

Praught, Jeffery, Smirnov, Roman G. (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Generalized Hamiltonian dynamics after Dirac and Tulczyjew

Fiorella Barone, Renato Grassini (2003)

Banach Center Publications

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Dirac's generalized Hamiltonian dynamics is given an accurate geometric formulation as an implicit differential equation and is compared with Tulczyjew's formulation of dynamics. From the comparison it follows that Dirac's equation-unlike Tulczyjew's-fails to give a complete picture of the real laws of classical and relativistic dynamics.

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.

On D’Alembert’s Principle

Larry M. Bates, James M. Nester (2011)

Communications in Mathematics

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A formulation of the D’Alembert principle as the orthogonal projection of the acceleration onto an affine plane determined by nonlinear nonholonomic constraints is given. Consequences of this formulation for the equations of motion are discussed in the context of several examples, together with the attendant singular reduction theory.