Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem is popular PDF and ePub book, written by Gabriella Pinzari in 2018-10-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem can be Read Online from any device for your convenience.
Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem Book PDF Summary
The author proves the existence of an almost full measure set of -dimensional quasi-periodic motions in the planetary problem with 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. The question had been previously considered by V. I. Arnold in the 1960s, for the particular case of the planar three-body problem, where, due to the limited number of degrees of freedom, it was enough to use the invariance of the system by the SO(3) group. The proof exploits nice parity properties of a new set of coordinates for the planetary problem, which reduces completely the number of degrees of freedom for the system (in particular, its degeneracy due to rotations) and, moreover, is well fitted to its reflection invariance. It allows the explicit construction of an associated close to be integrable system, replacing Birkhoff normal form, a common tool of previous literature.
Detail Book of Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem PDF
- Author : Gabriella Pinzari
- Release : 03 October 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470441029
- Genre : Mathematics
- Total Page : 104 pages
- Language : English
- PDF File Size : 13,7 Mb
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