On bounded satellite motion under constant radial propulsive acceleration

  1. San-Juan, J.F. 1
  2. López, L.M. 1
  3. Lara, M. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Columnas de Hercules 1, 11100 San Fernando, Spain
Journal:
Mathematical Problems in Engineering

ISSN: 1024-123X

Year of publication: 2012

Volume: 2012

Pages: 1-13

Type: Article

DOI: 10.1155/2012/680394 SCOPUS: 2-s2.0-84867964252 WoS: WOS:000304962000001 GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Mathematical Problems in Engineering

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Abstract

The Hamiltonian formulation of the constant radial propulsive acceleration problem in nondimensional units reveals that the problem does not depend on any physical parameter. The qualitative description of the integrable flow is given in terms of the energy and the angular momentum, showing that the different regimes are the result of a bifurcation phenomenon. The solution via the Hamilton-Jacobi equation demonstrates that the elliptic integrals of the three kinds are intrinsic to the problem. © 2012 Juan F. San-Juan et al.