Relative Equilibria of the Curved N-Body Problem

ISBN-13: 9789491216671 / Angielski / Twarda / 2012 / 146 str.

Florin Diacu

Opis

Provides us to know how to measure the shortest distance between two points of the physical space. This book offers a mathematical proof that, for distances of the order of 10 AU, space is Euclidean.

Recenzje

From the reviews:

"The book is divided into 5 parts with several chapters and sections in each. ... The book is clear, well written, interesting and easy to read. ... The book is an invitation to more research on this topic and it is a nice source of new problems, particularly for people working in celestial mechanics, dynamical systems, numerical analysis and geometric mechanics. I enjoyed reading it." (Ernesto Pérez-Chavela, Mathematical Reviews, June, 2013)

Spis treści

Introduction.- Preliminary developments.- Equations of motion.- Isometric rotations.- Relative equilibria (RE).- Fixed Points (FP).- Existence criteria.- Qualitative behavior.- Positive elliptic RE.- Positive elliptic-elliptic RE.- Negative RE.- Polygonal RE.- Lagrangian and Eulerian RE.- Saari’s conjecture.