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

Ignacio Aparicio; Luis Floría

Extracta Mathematicae (1997)

  • Volume: 12, Issue: 3, page 291-299
  • ISSN: 0213-8743

Abstract

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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.

How to cite

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Aparicio, Ignacio, and Floría, Luis. "A BF-regularization of a nonstationary two-body problem under the Maneff perturbing potential.." Extracta Mathematicae 12.3 (1997): 291-299. <http://eudml.org/doc/38537>.

@article{Aparicio1997,
abstract = {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.},
author = {Aparicio, Ignacio, Floría, Luis},
journal = {Extracta Mathematicae},
keywords = {Problema dos cuerpos; Teoría de perturbación; Perturbación singular; Ecuaciones diferenciales no lineales; Regularización parabólica; extended phase space; perturbed two-body problem; time-dependent Keplerian parameter; regularization; perturbed gylden system; time-dependent Maneff-like disturbed function; first integrals; Burdet-Ferrandiz focal-type variables; constraints},
language = {eng},
number = {3},
pages = {291-299},
title = {A BF-regularization of a nonstationary two-body problem under the Maneff perturbing potential.},
url = {http://eudml.org/doc/38537},
volume = {12},
year = {1997},
}

TY - JOUR
AU - Aparicio, Ignacio
AU - Floría, Luis
TI - A BF-regularization of a nonstationary two-body problem under the Maneff perturbing potential.
JO - Extracta Mathematicae
PY - 1997
VL - 12
IS - 3
SP - 291
EP - 299
AB - 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.
LA - eng
KW - Problema dos cuerpos; Teoría de perturbación; Perturbación singular; Ecuaciones diferenciales no lineales; Regularización parabólica; extended phase space; perturbed two-body problem; time-dependent Keplerian parameter; regularization; perturbed gylden system; time-dependent Maneff-like disturbed function; first integrals; Burdet-Ferrandiz focal-type variables; constraints
UR - http://eudml.org/doc/38537
ER -

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