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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Gabriella Pinzari |

ISBN: | 9781470441029 1470441020 |

OCLC Number: | 1039596871 |

Notes: | "September 2018. Volume 255. Number 1218 (first of 7 numbers)." |

Description: | v, 92 pages ; 26 cm. |

Contents: | Background and results -- Kepler maps and the Perihelia reduction -- The P-map and the planetary problem -- Global Kolmogorov tori in the planetary problem -- Proofs. |

Series Title: | Memoirs of the American Mathematical Society, no. 1218. |

Responsibility: | Gabriella Pinzari. |

### Abstract:

Proves the existence of an almost full measure set of $(3n-2)$-dimensional quasi-periodic motions in the planetary problem with $(1+n)$ masses, with eccentricities arbitrarily close to the Levi-Civita limiting value and relatively high inclinations. This extends previous results, where smallness of eccentricities and inclinations was assumed.
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