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

  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},
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
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