Free Delivery Over $100
|
|
|||
|
||||
OverviewThe author considers the 3 -dimensional gravitational n -body problem, n³2 , in spaces of constant Gaussian curvature K¹0 , i.e. on spheres S 3 ?¹ , for ?>0 , and on hyperbolic manifolds H 3 ?¹, for ?<0 . His goal is to define and study relative equilibria, which are orbits whose mutual distances remain constant in time. He also briefly discusses the issue of singularities in order to avoid impossible configurations. He derives the equations of motion and defines six classes of relative equilibria, which follow naturally from the geometric properties of S 3 ? and H 3 ? . Then he proves several criteria, each expressing the conditions for the existence of a certain class of relative equilibria, some of which have a simple rotation, whereas others perform a double rotation, and he describes their qualitative behaviour. Full Product DetailsAuthor: Florin DiacuPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 228, 1071 Weight: 0.153kg ISBN: 9780821891360ISBN 10: 0821891367 Pages: 80 Publication Date: 30 April 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction Background and equations of motion Isometries and relative equilibria Criteria and qualitative behaviour Examples Conclusions BibliographyReviewsAuthor InformationFlorin Diacu, University of Victoria, B.C., Canada. Tab Content 6Author Website:Countries AvailableAll regions |
||||
