ix List of Speakers and Participants xi Group Photograph xviii
Greetings by B. Garfinkel, A. E. Roy and P. J. Message xix
Introduction xxiii PART I: FUNDAMENTAL CONSIDERATIONS OF STABILITY
R. BROUCKE/Simple Non-Integrable Systems with Two Degrees of
Freedom 3 G. CONTOPOULOS/lnstabilities in Systems of Three Degrees
of Freedom 25 R. W. EASTON/Perturbed Twist Maps, Homoclinic Points
and Ergodic Zones 41 O. GUREL/Bifurcation Theory and its
Applications V. SZEBEHELY/General Considerations of Stability in 49
61 Celestial Mechanics PART II: ASPECTS OF NUMERICAL ANALYSIS AND
STATISTICAL MECHANICS S. J. AARSETH/An N-Body Integration Method in
Co-Moving Coordinates 69 J. BAUMGARTE/The General Theory of
Conservative Stabilization of the Keplerian Problem 81 C.
DEWITT-MORETTE /Celestial Mechanics, Quantum Mechanics, and Path
Integration 95 G. C. STEY/Statistical Viewpoint in Classical
Mechanics 103 PART III: STABILITY OF PLANETARY SYSTEMS ~ C.
FROESCHLE and H. SCHOLL/Evolution of Orbits in the Outer Part of
the Asteroidal Belt and in the Kirkwood Gaps as Influenced by the
Mass Effects of Saturn and Jupiter 115 v TABLE OF CONTENTS vi B.
GARFINKEL/On the Stability of Resonant Motion in 121 the Light of
the Regularizing Function 129 P. GOLDREICH/The Rings of Saturn and
Uranus J. D. HADJIDEMETRIOU/Instabilities in Periodic 135
Planetary-Type Orbits P. J. MESSAGE/Bounds on Secular Terms in
Celestial 165 Mechanics A. E. ROY/Empirical Stability Criteria in
the 177 Many-Body Problem R. O. VICENTE/Instabilities in Planetary
Systems 211 PART IV: THE PROBLEM OF THREE BODIES H.
General
| Imprint: |
Springer
|
| Country of origin: |
Netherlands |
| Series: |
NATO Science Series C, 47 |
| Release date: |
November 2011 |
| First published: |
1979 |
| Editors: |
V.G. Szebehely
|
| Dimensions: |
235 x 155 x 18mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
338 |
| Edition: |
Softcover reprint of the original 1st ed. 1979 |
| ISBN-13: |
978-9400994256 |
| Categories: |
Books >
Science & Mathematics >
Astronomy, space & time >
General
|
| LSN: |
9400994257 |
| Barcode: |
9789400994256 |
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