Introduction to Celestial Mechanics

Jean Kovalevsky

ISBN 10: 9401175500 / ISBN 13: 9789401175500

Verlag: Springer Netherlands, Springer Netherlands Apr 2012, 2012

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -After the launching of the first artificial satellites preceding interplanetary vehicles, celestial mechanics is no longer a science of interest confined to a small group of astronomers and mathematicians; it becomes a special engineering technique. I have tried to set this book in this new perspective, by severely limiting the choice of examples from classical celestial mechanics and by retaining only those useful in calculating the trajectory of a body in space. The main chapter in this book is the fifth, where a detailed solution is given of the problem of motion of an artificial satellite in the Earth's gravitational field, using the methods of Von Zeipel and of Brouwer. It is shown how Lagrange's equations can be applied to this problem. The first four chapters contain proofs of the main results useful for these two methods: the elliptical solution of the two-body problem and the basic algebra of celestial mechanics; some theorems of analytical mechanics; the Delaunay variables and the Lagrangian equations of variation of elements; the expansion of the disturbing function and the Bessel functions necessary for this expansion. The last two chapters are more descriptive in character. In them I have summarized briefly some of the classical theories of celestial mechanics, and have tried to show their distinctive characteristics without going into details. 140 pp. Englisch.

Bestandsnummer des Verkäufers 9789401175500

Bibliografische Details

• Titel: Introduction to Celestial Mechanics
• Verlag: Springer Netherlands, Springer Netherlands Apr 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 9401175500
• ISBN-13: 9789401175500
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 244B x 170 H x 8 T Millimeter Breite: 244 mm, Höhe: 170 mm, Tiefe: 8 mm
• Gewicht: 256 Gramm

Über diesen Titel

Inhaltsangabe

After the launching of the first artificial satellites preceding interplanetary vehicles, celestial mechanics is no longer a science of interest confined to a small group of astronomers and mathematicians; it becomes a special engineering technique. I have tried to set this book in this new perspective, by severely limiting the choice of examples from classical celestial mechanics and by retaining only those useful in calculating the trajectory of a body in space. The main chapter in this book is the fifth, where a detailed solution is given of the problem of motion of an artificial satellite in the Earth's gravitational field, using the methods of Von Zeipel and of Brouwer. It is shown how Lagrange's equations can be applied to this problem. The first four chapters contain proofs of the main results useful for these two methods: the elliptical solution of the two-body problem and the basic algebra of celestial mechanics; some theorems of analytical mechanics; the Delaunay variables and the Lagrangian equations of variation of elements; the expansion of the disturbing function and the Bessel functions necessary for this expansion. The last two chapters are more descriptive in character. In them I have summarized briefly some of the classical theories of celestial mechanics, and have tried to show their distinctive characteristics without going into details.