KAM quasi-periodic tori for the dissipative spin–orbit problem

We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. We compute the attractors extremely close to the breakdown threshold. We consider the spin–orbit problem describing the motion of a triaxial satellite around a central planet under t...

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Vydané v:	Communications in nonlinear science & numerical simulation Ročník 106; s. 106099
Hlavní autori:	Calleja, Renato, Celletti, Alessandra, Gimeno, Joan, de la Llave, Rafael
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.03.2022 Elsevier Science Ltd
Predmet:	Algorithms Breakdown Celestial mechanics Conformally symplectic systems Dissipative spin–orbit problem Drift Embedding Frequencies Interval arithmetic Invariance KAM theory Mathematical models Newton methods Nonlinear equations Numerical analysis Orbits Parameters Poincare maps Quasi-periodic attractors Roundoff error Theorems Toruses Truncation errors Conformally symplectic systems Dissipative spin–orbit problem Quasi-periodic attractors KAM theory
ISSN:	1007-5704, 1878-7274
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