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Mappings for the First Order Asteroidal Resonance

Published online by Cambridge University Press:  07 August 2017

T. J. Stuchi  and
W. Sessin
T. J. Stuchi
Affiliation:
Laboratório Nacional de ComputaçÃo - CNPq and Instituto de Matemática, Universidade Federal do Rio de Janeiro Rio de Janeiro, Brazil
W. Sessin
Affiliation:
Departamento de Mecânica do Vôo e Dinâmica Orbital-ITA/CTA, São José dos Campos, Brazil

Abstract

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We construct a two step algebraic mapping from Sessin's simplified model for the first order resonance. The orbits obtained with this mapping are compared to the ones calculated with the exact solution. We also derive a reduced Hamiltonian. A plane Poincaré mapping, using delta periodic function, is constructed and compared to the reduced Hamiltonian contour curves showing the splitting of the separatrix due to delta perturbation technique.

Keywords

Mappingsympletic integratorresonanceasteroid
Type
Part VII - Dynamical Systems. Maps. Integrators
Information
Symposium - International Astronomical Union , Volume 152: Chaos, Resonance and Collective Dynamical Phenomena in the Solar System , 1992 , pp. 391 - 394
Copyright
Copyright © Kluwer 1992 

References

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