A E Roy

Orbital Motion

• Broschiertes Buch

Produktbeschreibung

A comprehensive, mathematically detailed book on classical celestial mechanics, this edition updates all chapters and incorporates a new chapter that provides the first textbook treatment of the Caledonian symmetrical n -body problem. The book's contents have been reorganized and extended to encompass new methods and teaching demands, and to cover more modern applied areas such as satellite dynamics. A long-established text in the physics and astronomy fields, this edition extends its coverage to meet the needs in the areas of aerospace engineering and planetary science, which now need to cover this material in more detail. Multi/Card Deck Copy

Produktdetails

• Verlag: Taylor & Francis
• 4th edition
• Seitenzahl: 544
• Erscheinungstermin: 31. Dezember 2004
• Englisch
• Abmessung: 238mm x 186mm x 29mm
• Gewicht: 1084g
• ISBN-13: 9780750310154
• ISBN-10: 0750310154
• Artikelnr.: 22771942

Autorenporträt

A.E. Roy, Professor Emeritus of Astronomy, Honorary Senior Research Fellow, University of Glasgow.

Inhaltsangabe

PREFACE TO FOURTH EDITION THE RESTLESS UNIVERSE Introduction The Solar
System Stellar Motions Clusters of Galaxies Conclusion Bibliography
COORDINATE AND TIME-KEEPING SYSTEMS Introduction Position on the Earth's
Surface The Horizontal System The Equatorial System The Ecliptic System
Elements of the Orbit in Space Rectangular Coordinate Systems Orbital Plane
Coordinate Systems Transformation of Systems Galactic Coordinate System
Time Measurement Bibliography THE REDUCTION OF OBSERVATIONAL DATA
Introduction Observational Techniques Refraction Precession and Nutation
Aberration Proper Motion Stellar Parallax Geocentric Parallax Review of
Procedures Bibliography THE TWO-BODY PROBLEM Introduction Newton's Laws of
Motion Newton's Law of Gravitation The Solution to the Two-Body Problem The
Elliptic Orbit The Parabolic Orbit The Hyperbolic Orbit The Rectilinear
Orbit Barycentric Orbits Classification of Orbits with Respect to the
Energy Constant The Orbit in Space The f and g Series The Use of Recurrence
Relations Universal Variables Bibliography THE MANY-BODY PROBLEM
Introduction The Equations of Motion in the Many-Body Problem The Ten Known
Integrals and Their Meanings The Force Function The Virial Theorem
Sundman's Inequality The Mirror Theorem Reassessment of the Many-Body
Problem Lagrange's Solutions of the Three-Body Problem General Remarks on
the Lagrange Solutions The Circular Restricted Three Body Problem The
General Three-Body Problem Jacobian Coordinates for the Many-Body Problem
The Hierarchical Three-Body Stability Criterion Bibliography THE CALEDONIAN
SYMMETRIC N-BODY PROBLEM Introduction The Equations of Motions Sundman's
Inequality Boundaries of Real and Imaginary Motion The Caledonian Symmetric
Model for n = 1 The Caledonian Symmetric Model for n = 2 The Caledonian
Symmetric Model for n = 3 The Caledonian Symmetric N-Body Model for odd N
Bibliography GENERAL PERTURBATIONS The Nature of the Problem The Equations
of Relative Motion The Disturbing Function The Sphere of Influence The
Potential of a Body of Arbitrary Shape Potential at a Point within a Sphere
The Method of the Variation of Parameters Lagrange's Equations of Motion
Hamilton's Canonic Equations Derivation of Lagrange's Planetary Equations
from Hamilton's Canonic Equations Bibliography SPECIAL PERTURBATIONS
Introduction Factors in Special Perturbation Problems Cowell's Method
Encke's Method The Use of Perturbational Equations Regularization Methods
Numerical Integrations Methods Bibliography THE STABILITY AND EVOLUTION OF
THE SOLAR SYSTEM Introduction Chaos and Resonance Planetary Ephemerides The
Asteroids Rings, Shepherds, Tadpoles, Horseshoes, and Co-Orbitals
Near-Commensurable Satellite Orbits Large-Scale Numerical Integrations
Empirical Stability Criteria Conclusions Bibliography LUNAR THEORY
Introduction The Earth-Moon System The Saros Measurement of the Moon's
Distance, Mass, and Size The Moon's Rotation Selenographic Coordinates The
Moon's Figure The Main Lunar Problem The Sun's Orbit in the Main Lunar
Problem The Orbit of the Moon Lunar Theories The Secular Acceleration of
the Moon Bibliography ARTIFICIAL SATELLITES Introduction The Earth as a
Planet Forces Acting on an Artificial Earth Satellite The Orbit of a
Satellite about an Oblate Planet The Use of Hamilton-Jacobi Theory in the
Artificial Satellite Problem The Effect of Atmospheric Drag on an
Artificial Satellite Tesseral and Sectorial Harmonics in the Earth's
Gravitational Field Bibliography ROCKET DYNAMICS AND TRANSFER ORBITS
Introduction Motion of a Rocket Transfer between Orbits in a Single Central
Force Field Transfer Orbits in Two or More Force Fields Bibliography
INTERPLANETARY AND LUNAR TRAJECTORIES Introduction Trajectories in
Earth-Moon Space Feasibility and Precision Study Methods The Use of
Jacobi's Integral The Use of the Lagrangian Solutions The Use of Two-Body
Solutions Artificial Lunar Satellites Interplanetary Trajectories The Solar
System as a Central Force Field Minimum-Energy Interplanetary Transfer
Orbits The Use of Parking Orbits in Interplanetary Missions The Effect of
Errors in Interplanetary Orbits Bibliography ORBIT DETERMINATION AND
INTERPLANETARY NAVIGATION Introduction The Theory of Orbit Determination
Laplace's Method Gauss's Method Olbers' Method for Parabolic Orbits Orbit
Determination with Additional Observational Data The Improvement of Orbits
Interplanetary Navigation Bibliography BINARY AND OTHER FEW-BODY SYSTEMS
Introduction Visual Binaries The Mass-Luminosity Relation Dynamical
Parallaxes Eclipsing Binaries Spectroscopic Binaries Combination of Deduced
Data Binary Orbital Elements The Period of a Binary Apsidal Motion Forces
Acting on a Binary System Triple Systems The Inadequacy of Newton's Law of
Gravitation The Figures of Stars in Binary Systems The Roche Limits
Circumstellar Matter The Origin of Binary Systems Bibliography MANY-BODY
STELLAR SYSTEMS Introduction The Sphere of Influence The Binary Encounter
The Cumulative Effect of Small Encounters Some Fundamental Concepts The
Fundamental Theorems of Stellar Dynamics Some Special Cases for a Stellar
System in a Steady State Galactic Rotation Spherical Stellar Systems Modern
Galactic Studies Bibliography ANSWERS TO PROBLEMS APPENDIX I: Astronomical
and Related Constants APPENDIX II: The Earth's Gravitational Field APPENDIX
III: Mean Elements of the Planetary Orbits; Approximate Elements of the Ten
Largest Asteroids APPENDIX IV: Physical Elements of the Planets; Planetary
Ring Systems; Satellite Elements and Dimensions INDEX