000 01622 a2200229 4500
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020 _a9781108491297
040 _cIIT Kanpur
041 _aeng
082 _a530.14
_bM589g
100 _aMikkola, Seppo
245 _aGravitational few-body dynamics
_ba numerical approach
_cSeppo Mikkola
260 _bCambridge University Press
_c2020
_aCambridge
300 _axii, 244p
520 _aUsing 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.
650 _aCelestial mechanics
650 _aFew-body problem
650 _aGravitation
942 _cBK
999 _c565859
_d565859