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Gabriella Pinza Perihelia Reduction and Global Kolmogorov Tori in th (Paperback)
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- Book Title
- Perihelia Reduction and Global Kolmogorov Tori in the Planetary P
- Title
- Perihelia Reduction and Global Kolmogorov Tori in the Planetary P
- EAN
- 9781470441029
- ISBN
- 9781470441029
- Genre
- Science Nature & Math
- Release Date
- 30/10/2018
- Release Year
- 2018
- Country/Region of Manufacture
- US
- Item Length
- 178mm
- Item Weight
- 200g
- Series
- Memoirs of the American Mathematical Society
- Publication Year
- 2018
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem
- Item Height
- 254mm
- Publisher
- American Mathematical Society
- Item Width
- 178mm
- Subject
- Mathematics
- Number of Pages
- 92 Pages
關於產品
Product Information
The author 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. 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.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9781470441029
eBay Product ID (ePID)
7046392069
Product Key Features
Publication Name
Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2018
Type
Textbook
Number of Pages
92 Pages
Dimensions
Item Height
254mm
Item Width
178mm
Additional Product Features
Series Title
Memoirs of the American Mathematical Society
Country/Region of Manufacture
United States
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增值稅識別編號：
- GB 864 1548 11
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