Symplectic mappings-Reference-Cited by-同舟云学术

Symplectic mappings

Published:1996 Issue: Volume:172 Page:255-266
ISSN:0074-1809
Container-title:Symposium - International Astronomical Union
language:en
Short-container-title:Symp. - Int. Astron. Union

Author:

Hadjidemetriou John D.

Abstract

This paper reviews the main methods for constructing mapping models for Hamiltonian systems, for the study of motion in the Solar System. The emphasis is given to the relation between the various mapping techniques, the methods to check how close is a mapping model to the original system and the effects of an incomplete model on the evolution of the system.

Publisher

Cambridge University Press (CUP)

Reference26 articles.

1. Stochasticity in the Kepler problem and a model of possible dynamics of comets in the Oort cloud

2. “Fundamental Frequencies and Small Divisors in the Orbits of The Outer Planets”;Nobili;Astron. Astrophys.,1989

3. “Mapping for the asteroidal resonances”;Šidlichovský;Astron. Astrophys.,1992

4. The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones

5. Resonances in the Planar Elliptic Restricted Problem

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1. Dynamic expansion points: an extension to Hadjidemetriou’s mapping method;Celestial Mechanics and Dynamical Astronomy;2009-03-24

2. Rotation Number and Global Stability of Symplectic Integrator;The Dynamical Behaviour of our Planetary System;1997

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