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Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type , Journal 14 Nov 2014Embargo end date: 01 Jan 2013 Italy Publisher:Springer Science and Business Media LLCJournal:Advances in Computational Mathematics, volume 41, pages 881-905 (issn: 1019-7168, eissn: 1572-9044,

Authors: P. Amodio; BRUGNANO, LUIGI; F. Iavernaro;

doi: 10.1007/s10444-014-9390-z , 10.48550/arxiv.1309.2832

arXiv: 1309.2832 , http://arxiv.org/abs/1309.2832

handle: 2158/907932 , 11586/127969

Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics

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Abstract

We introduce new methods for the numerical solution of general Hamiltonian boundary value problems. The main feature of the new formulae is to produce numerical solutions along which the energy is precisely conserved, as is the case with the analytical solution. We apply the methods to locate periodic orbits in the circular restricted three body problem by using their energy value rather than their pe- riod as input data. We also use the methods for solving optimal transfer problems in astrodynamics.

22 pages, 4 figures

Country

Italy

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Keywords

energy conservation, 65P10, 65L10 65L06, numerical solution, Energyng conserving Kutta methods; Hamiltonian value problems; Astrodynamics; optimal control, three body problem, Numerical Analysis (math.NA), Hamiltonian boundary value problems, FOS: Mathematics, Mathematics - Numerical Analysis

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Energy Research