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Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

By: Gabriella Pinzari (Author)

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Ksh 18,350.00

Format: Paperback or Softback

ISBN-13: 9781470441029

Publisher: American Mathematical Society

Publication Date: Aug 30th, 2018

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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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