{"product_id":"gravitational-few-body-dynamics-a-numerical-approach-hardback-9781108491297","title":"Gravitational Few-Body Dynamics; A Numerical Approach (Hardback) 9781108491297","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGravitational Few-Body Dynamics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Numerical Approach\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSeppo Mikkola (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108491297, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 16 April 2020\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e252 pages, 34 b\/w illus.\u003cbr\u003e25 x 17.4 x 1.7 cm, 0.63 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eUsing numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gravitationally. In this introduction to the few-body problem, a key figure in developing more efficient methods over the past few decades summarizes and explains them, covering both basic analytical formulations and numerical methods. The mathematics required for celestial mechanics and stellar dynamics is explained, starting with two-body motion and progressing through classical methods for planetary system dynamics. This first part of the book can be used as a short course on celestial mechanics. The second part develops the contemporary methods for which the author is renowned - symplectic integration and various methods of regularization. This volume explains the methodology of the subject for graduate students and researchers in celestial mechanics and astronomical dynamics with an interest in few-body dynamics and the regularization of the equations of motion.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e 1. The problems\u003cbr\u003e 2. Two-body motion\u003cbr\u003e 3. Analytical tools\u003cbr\u003e 4. Variation of parameters\u003cbr\u003e 5. Numerical integration\u003cbr\u003e 6. Symplectic integration\u003cbr\u003e 7. KS-regularization\u003cbr\u003e 8. Algorithmic regularization\u003cbr\u003e 9. Motion in the field of a black hole\u003cbr\u003e 10. Artificial satellite orbits\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Astrophysics [\u003ca title=\"See our other books on Astrophysics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Astrophysics%20%5BPHVB%5D%22\"\u003ePHVB\u003c\/a\u003e], Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e], Integral calculus \u0026amp; equations [\u003ca title=\"See our other books on Integral calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Integral%20calculus%20\u0026amp;%20equations%20%5BPBKL%5D%22\"\u003ePBKL\u003c\/a\u003e], Differential calculus \u0026amp; equations [\u003ca title=\"See our other books on Differential calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20calculus%20\u0026amp;%20equations%20%5BPBKJ%5D%22\"\u003ePBKJ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46266377765144,"sku":"9781108491297","price":111.68,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108491297i_c5f1ac91-e098-4f8c-b489-d2dcda29ae42.jpg?v=1696706660","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/gravitational-few-body-dynamics-a-numerical-approach-hardback-9781108491297","provider":"Freshly Printed Books","version":"1.0","type":"link"}