# Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction

@article{Calleja2021EfficientAA, title={Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction}, author={R. Calleja and A. Celletti and J. Gimeno and R. Llave}, journal={ArXiv}, year={2021}, volume={abs/2106.09175} }

We consider the dissipative spin-orbit problem in Celestial Mechanics, which describes the rotational motion of a triaxial satellite moving on a Keplerian orbit subject to tidal forcing and drift. Our goal is to construct quasi-periodic solutions with fixed frequency, satisfying appropriate conditions. With the goal of applying rigorous KAM theory, we compute such quasi-periodic solution with very high precision. To this end, we have developed a very efficient algorithm. The first step is to… Expand

#### One Citation

Transition criteria and phase space structures in a three degree of freedom system with dissipation

- Physics, Mathematics
- 2021

Escape from a potential well through an index-1 saddle can be widely found in some important physical systems. Knowing the criteria and phase space geometry that govern escape events plays an… Expand

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