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sympletic integrator

Symposium - International Astronomical Union (1)

International Astronomical Union (1)

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Mappings for the First Order Asteroidal Resonance
T. J. Stuchi, W. Sessin
Journal:

Symposium - International Astronomical Union / Volume 152 / 1992

Published online by Cambridge University Press:

07 August 2017, pp. 391-394

Print publication:

1992
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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.