# The geometry of celestial mechanics

##### By: Geiges, Hansjorg.

Series: London mathematical society student texts; no.83. Publisher: Cambridge Cambridge University Press 2016Description: xv, 223p.ISBN: 9781107125407.Subject(s): Celestial mechanics | Kepler's lawDDC classification: 521 | G275g Summary: Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books | PK Kelkar Library, IIT Kanpur | General Stacks | 521 G275g (Browse shelf) | Available | A184054 |

##### Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser

521.3,D852OE THE DETERMINATION OF ORBITS | 521 AA76G GRAVITATIONAL N-BODY SIMULATIONS | 521 F582i An introduction to celestial mechanics | 521 G275g The geometry of celestial mechanics | 521 G346O ORIGIN OF INERTIA | 521 M781M MODERN ASTRONOMY | 521 P341s A survey of the almagest |

Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.

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