The Experts below are selected from a list of 86571 Experts worldwide ranked by ideXlab platform
Benedicte Puig - One of the best experts on this subject based on the ideXlab platform.
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the sharma parthasarathy stochastic Two Body Problem
Journal of Mathematical Physics, 2015Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the Sharma-Parthasarathy stochastic Two-Body Problem introduced by Sharma and Parthasarathy in [“Dynamics of a stochastically perturbed Two-Body Problem,” Proc. R. Soc. A 463, 979-1003 (2007)]. In particular, we focus on the preservation of some fundamental features of the classical Two-Body Problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity, and the pericenter. We also derive a stochastic version of Gauss’s equations in the planar case.
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The Sharma-Parthasarathy stochastic Two-Body Problem
Journal of Mathematical Physics, 2015Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the Sharma-Parthasarathy stochastic Two-Body Problem introduced by N. Sharma and H. Parthasarathy in \cite{sharma}. In particular, we focus on the preservation of some fundamental features of the classical Two-Body Problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case.
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Stochastic perturbation of the Two-Body Problem
2013Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the impact of a stochastic perturbation on the classical Two-Body Problem in particular concerning the preservation of first integrals and the Hamiltonian structure. Numerical simulations are performed which illustrate the dynamical behavior of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case. this stochastic perturbation. In particular, we discuss the persistence of first integrals like energy and angular momentum and the behavior of the Hamiltonian structure in the context of stochastic Hamiltonian systems introduced by Bismut (1981). Third, we perform numerical simulations in order to observe the dynamical behavior of the osculating elements. The accuracy of the numerical integrator is also discussed. Finally, we derive the stochastic version of Gauss's equations for the variations of the osculating elements which allows us to determine the contribution of the stochastic terms in the observed dynamical behavior.
José A. Docobo - One of the best experts on this subject based on the ideXlab platform.
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Analytic solution of the Two-Body Problem with slowly decreasing mass
Astronomy and Astrophysics, 1997Co-Authors: C. Prieto, José A. DocoboAbstract:We intend to present an approximate analytic so- lution of the Two-Body Problem with slowly decreasing mass which is obtained through the integration of the Hamilton equa- tions using A. Deprit's method of perturbations. The solution, obtained through the law of mass variation _ m = m n is put
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On the Two-Body Problem with Slowly Decreasing Mass
Celestial Mechanics and Dynamical Astronomy, 1997Co-Authors: C. Prieto, José A. DocoboAbstract:We intend to present Two approximate analytic solutions of the Two-Body Problem with slowly decreasing mass which are obtained through the integration of the Hamilton equations.
Jacky Cresson - One of the best experts on this subject based on the ideXlab platform.
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the sharma parthasarathy stochastic Two Body Problem
Journal of Mathematical Physics, 2015Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the Sharma-Parthasarathy stochastic Two-Body Problem introduced by Sharma and Parthasarathy in [“Dynamics of a stochastically perturbed Two-Body Problem,” Proc. R. Soc. A 463, 979-1003 (2007)]. In particular, we focus on the preservation of some fundamental features of the classical Two-Body Problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity, and the pericenter. We also derive a stochastic version of Gauss’s equations in the planar case.
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The Sharma-Parthasarathy stochastic Two-Body Problem
Journal of Mathematical Physics, 2015Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the Sharma-Parthasarathy stochastic Two-Body Problem introduced by N. Sharma and H. Parthasarathy in \cite{sharma}. In particular, we focus on the preservation of some fundamental features of the classical Two-Body Problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case.
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Stochastic perturbation of the Two-Body Problem
2013Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the impact of a stochastic perturbation on the classical Two-Body Problem in particular concerning the preservation of first integrals and the Hamiltonian structure. Numerical simulations are performed which illustrate the dynamical behavior of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case. this stochastic perturbation. In particular, we discuss the persistence of first integrals like energy and angular momentum and the behavior of the Hamiltonian structure in the context of stochastic Hamiltonian systems introduced by Bismut (1981). Third, we perform numerical simulations in order to observe the dynamical behavior of the osculating elements. The accuracy of the numerical integrator is also discussed. Finally, we derive the stochastic version of Gauss's equations for the variations of the osculating elements which allows us to determine the contribution of the stochastic terms in the observed dynamical behavior.
C. Prieto - One of the best experts on this subject based on the ideXlab platform.
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Analytic solution of the Two-Body Problem with slowly decreasing mass
Astronomy and Astrophysics, 1997Co-Authors: C. Prieto, José A. DocoboAbstract:We intend to present an approximate analytic so- lution of the Two-Body Problem with slowly decreasing mass which is obtained through the integration of the Hamilton equa- tions using A. Deprit's method of perturbations. The solution, obtained through the law of mass variation _ m = m n is put
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On the Two-Body Problem with Slowly Decreasing Mass
Celestial Mechanics and Dynamical Astronomy, 1997Co-Authors: C. Prieto, José A. DocoboAbstract:We intend to present Two approximate analytic solutions of the Two-Body Problem with slowly decreasing mass which are obtained through the integration of the Hamilton equations.
Frederic Pierret - One of the best experts on this subject based on the ideXlab platform.
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the sharma parthasarathy stochastic Two Body Problem
Journal of Mathematical Physics, 2015Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the Sharma-Parthasarathy stochastic Two-Body Problem introduced by Sharma and Parthasarathy in [“Dynamics of a stochastically perturbed Two-Body Problem,” Proc. R. Soc. A 463, 979-1003 (2007)]. In particular, we focus on the preservation of some fundamental features of the classical Two-Body Problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity, and the pericenter. We also derive a stochastic version of Gauss’s equations in the planar case.
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The Sharma-Parthasarathy stochastic Two-Body Problem
Journal of Mathematical Physics, 2015Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the Sharma-Parthasarathy stochastic Two-Body Problem introduced by N. Sharma and H. Parthasarathy in \cite{sharma}. In particular, we focus on the preservation of some fundamental features of the classical Two-Body Problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case.
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Stochastic perturbation of the Two-Body Problem
2013Co-Authors: Jacky Cresson, Frederic Pierret, Benedicte PuigAbstract:We study the impact of a stochastic perturbation on the classical Two-Body Problem in particular concerning the preservation of first integrals and the Hamiltonian structure. Numerical simulations are performed which illustrate the dynamical behavior of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case. this stochastic perturbation. In particular, we discuss the persistence of first integrals like energy and angular momentum and the behavior of the Hamiltonian structure in the context of stochastic Hamiltonian systems introduced by Bismut (1981). Third, we perform numerical simulations in order to observe the dynamical behavior of the osculating elements. The accuracy of the numerical integrator is also discussed. Finally, we derive the stochastic version of Gauss's equations for the variations of the osculating elements which allows us to determine the contribution of the stochastic terms in the observed dynamical behavior.
