The Resource An introduction to celestial mechanics, Richard Fitzpatrick
An introduction to celestial mechanics, Richard Fitzpatrick
Resource Information
The item An introduction to celestial mechanics, Richard Fitzpatrick represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item An introduction to celestial mechanics, Richard Fitzpatrick represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the threebody problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments"
 Language
 eng
 Extent
 1 online resource (x, 266 pages)
 Contents

 Cover; An Introduction to Celestial Mechanics; Title; Copyright; Contents; Preface; 1: Newtonian mechanics; 1.1 Introduction; 1.2 Newton's laws of motion; 1.3 Newton's first law of motion; 1.4 Newton's second law of motion; 1.5 Newton's third law of motion; 1.6 Nonisolated systems; 1.7 Motion in onedimensional potential; 1.8 Simple harmonic motion; 1.9 Twobody problem; Exercises; 2: Newtonian gravity; 2.1 Introduction; 2.2 Gravitational potential; 2.3 Gravitational potential energy; 2.4 Axially symmetric mass distributions; 2.5 Potential due to a uniform sphere
 2.6 Potential outside a uniform spheroid2.7 Potential due to a uniform ring; Exercises; 3: Keplerian orbits; 3.1 Introduction; 3.2 Kepler's laws; 3.3 Conservation laws; 3.4 Plane polar coordinates; 3.5 Kepler's second law; 3.6 Kepler's first law; 3.7 Kepler's third law; 3.8 Orbital parameters; 3.9 Orbital energies; 3.10 Transfer orbits; 3.11 Elliptical orbits; 3.12 Orbital elements; 3.13 Planetary orbits; 3.14 Parabolic orbits; 3.15 Hyperbolic orbits; 3.16 Binary star systems; Exercises; 4: Orbits in central force fields; 4.1 Introduction; 4.2 Motion in a general central force field
 4.3 Motion in a nearly circular orbit4.4 Perihelion precession of planets; 4.5 Perihelion precession of Mercury; Exercises; 5: Rotating reference frames; 5.1 Introduction; 5.2 Rotating reference frames; 5.3 Centrifugal acceleration; 5.4 Coriolis force; 5.5 Rotational flattening; 5.6 Tidal elongation; 5.7 Tidal torques; 5.8 Roche radius; Exercises; 6 Lagrangian mechanics; 6.1 Introduction; 6.2 Generalized coordinates; 6.3 Generalized forces; 6.4 Lagrange's equation; 6.5 Generalized momenta; Exercises; 7: Rigid body rotation; 7.1 Introduction; 7.2 Fundamental equations
 7.3 Moment of inertia tensor7.4 Rotational kinetic energy; 7.5 Principal axes of rotation; 7.6 Euler's equations; 7.7 Euler angles; 7.8 Free precession of the Earth; 7.9 MacCullagh's formula; 7.10 Forced precession and nutation of the Earth; 7.11 Spinorbit coupling; 7.12 Cassini's laws; Exercises; 8: Threebody problem; 8.1 Introduction; 8.2 Circular restricted threebody problem; 8.3 Jacobi integral; 8.4 Tisserand criterion; 8.5 Corotating frame; 8.6 Lagrange points; 8.7 Zerovelocity surfaces; 8.8 Stability of Lagrange points; Exercises; 9: Secular perturbation theory; 9.1 Introduction
 9.2 Evolution equations for a twoplanet solar system9.3 Secular evolution of planetary orbits; 9.4 Secular evolution of asteroid orbits; 9.5 Secular evolution of artificial satellite orbits; Exercises; 10: Lunar motion; 10.1 Introduction; 10.2 Preliminary analysis; 10.3 Lunar equations of motion; 10.4 Unperturbed lunar motion; 10.5 Perturbed lunar motion; 10.6 Description of lunar motion; Exercises; Appendix A: Useful mathematics; A.1 Calculus; A.2 Series expansions; A.3 Trigonometric identities; A.4 Vector identities; A.5 Conservative fields; A.6 Rotational coordinate transformations
 Isbn
 9781139152310
 Label
 An introduction to celestial mechanics
 Title
 An introduction to celestial mechanics
 Statement of responsibility
 Richard Fitzpatrick
 Language
 eng
 Summary
 "This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the threebody problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments"
 Assigning source
 Provided by publisher
 Cataloging source
 N$T
 http://library.link/vocab/creatorDate
 1963
 http://library.link/vocab/creatorName
 Fitzpatrick, Richard
 Dewey number
 521
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QB351
 LC item number
 .F565 2012eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Celestial mechanics
 SCIENCE
 SCIENCE
 Celestial mechanics
 Label
 An introduction to celestial mechanics, Richard Fitzpatrick
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Cover; An Introduction to Celestial Mechanics; Title; Copyright; Contents; Preface; 1: Newtonian mechanics; 1.1 Introduction; 1.2 Newton's laws of motion; 1.3 Newton's first law of motion; 1.4 Newton's second law of motion; 1.5 Newton's third law of motion; 1.6 Nonisolated systems; 1.7 Motion in onedimensional potential; 1.8 Simple harmonic motion; 1.9 Twobody problem; Exercises; 2: Newtonian gravity; 2.1 Introduction; 2.2 Gravitational potential; 2.3 Gravitational potential energy; 2.4 Axially symmetric mass distributions; 2.5 Potential due to a uniform sphere
 2.6 Potential outside a uniform spheroid2.7 Potential due to a uniform ring; Exercises; 3: Keplerian orbits; 3.1 Introduction; 3.2 Kepler's laws; 3.3 Conservation laws; 3.4 Plane polar coordinates; 3.5 Kepler's second law; 3.6 Kepler's first law; 3.7 Kepler's third law; 3.8 Orbital parameters; 3.9 Orbital energies; 3.10 Transfer orbits; 3.11 Elliptical orbits; 3.12 Orbital elements; 3.13 Planetary orbits; 3.14 Parabolic orbits; 3.15 Hyperbolic orbits; 3.16 Binary star systems; Exercises; 4: Orbits in central force fields; 4.1 Introduction; 4.2 Motion in a general central force field
 4.3 Motion in a nearly circular orbit4.4 Perihelion precession of planets; 4.5 Perihelion precession of Mercury; Exercises; 5: Rotating reference frames; 5.1 Introduction; 5.2 Rotating reference frames; 5.3 Centrifugal acceleration; 5.4 Coriolis force; 5.5 Rotational flattening; 5.6 Tidal elongation; 5.7 Tidal torques; 5.8 Roche radius; Exercises; 6 Lagrangian mechanics; 6.1 Introduction; 6.2 Generalized coordinates; 6.3 Generalized forces; 6.4 Lagrange's equation; 6.5 Generalized momenta; Exercises; 7: Rigid body rotation; 7.1 Introduction; 7.2 Fundamental equations
 7.3 Moment of inertia tensor7.4 Rotational kinetic energy; 7.5 Principal axes of rotation; 7.6 Euler's equations; 7.7 Euler angles; 7.8 Free precession of the Earth; 7.9 MacCullagh's formula; 7.10 Forced precession and nutation of the Earth; 7.11 Spinorbit coupling; 7.12 Cassini's laws; Exercises; 8: Threebody problem; 8.1 Introduction; 8.2 Circular restricted threebody problem; 8.3 Jacobi integral; 8.4 Tisserand criterion; 8.5 Corotating frame; 8.6 Lagrange points; 8.7 Zerovelocity surfaces; 8.8 Stability of Lagrange points; Exercises; 9: Secular perturbation theory; 9.1 Introduction
 9.2 Evolution equations for a twoplanet solar system9.3 Secular evolution of planetary orbits; 9.4 Secular evolution of asteroid orbits; 9.5 Secular evolution of artificial satellite orbits; Exercises; 10: Lunar motion; 10.1 Introduction; 10.2 Preliminary analysis; 10.3 Lunar equations of motion; 10.4 Unperturbed lunar motion; 10.5 Perturbed lunar motion; 10.6 Description of lunar motion; Exercises; Appendix A: Useful mathematics; A.1 Calculus; A.2 Series expansions; A.3 Trigonometric identities; A.4 Vector identities; A.5 Conservative fields; A.6 Rotational coordinate transformations
 Control code
 796804045
 Dimensions
 unknown
 Extent
 1 online resource (x, 266 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781139152310
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 9786613685582
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)796804045
 Label
 An introduction to celestial mechanics, Richard Fitzpatrick
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Cover; An Introduction to Celestial Mechanics; Title; Copyright; Contents; Preface; 1: Newtonian mechanics; 1.1 Introduction; 1.2 Newton's laws of motion; 1.3 Newton's first law of motion; 1.4 Newton's second law of motion; 1.5 Newton's third law of motion; 1.6 Nonisolated systems; 1.7 Motion in onedimensional potential; 1.8 Simple harmonic motion; 1.9 Twobody problem; Exercises; 2: Newtonian gravity; 2.1 Introduction; 2.2 Gravitational potential; 2.3 Gravitational potential energy; 2.4 Axially symmetric mass distributions; 2.5 Potential due to a uniform sphere
 2.6 Potential outside a uniform spheroid2.7 Potential due to a uniform ring; Exercises; 3: Keplerian orbits; 3.1 Introduction; 3.2 Kepler's laws; 3.3 Conservation laws; 3.4 Plane polar coordinates; 3.5 Kepler's second law; 3.6 Kepler's first law; 3.7 Kepler's third law; 3.8 Orbital parameters; 3.9 Orbital energies; 3.10 Transfer orbits; 3.11 Elliptical orbits; 3.12 Orbital elements; 3.13 Planetary orbits; 3.14 Parabolic orbits; 3.15 Hyperbolic orbits; 3.16 Binary star systems; Exercises; 4: Orbits in central force fields; 4.1 Introduction; 4.2 Motion in a general central force field
 4.3 Motion in a nearly circular orbit4.4 Perihelion precession of planets; 4.5 Perihelion precession of Mercury; Exercises; 5: Rotating reference frames; 5.1 Introduction; 5.2 Rotating reference frames; 5.3 Centrifugal acceleration; 5.4 Coriolis force; 5.5 Rotational flattening; 5.6 Tidal elongation; 5.7 Tidal torques; 5.8 Roche radius; Exercises; 6 Lagrangian mechanics; 6.1 Introduction; 6.2 Generalized coordinates; 6.3 Generalized forces; 6.4 Lagrange's equation; 6.5 Generalized momenta; Exercises; 7: Rigid body rotation; 7.1 Introduction; 7.2 Fundamental equations
 7.3 Moment of inertia tensor7.4 Rotational kinetic energy; 7.5 Principal axes of rotation; 7.6 Euler's equations; 7.7 Euler angles; 7.8 Free precession of the Earth; 7.9 MacCullagh's formula; 7.10 Forced precession and nutation of the Earth; 7.11 Spinorbit coupling; 7.12 Cassini's laws; Exercises; 8: Threebody problem; 8.1 Introduction; 8.2 Circular restricted threebody problem; 8.3 Jacobi integral; 8.4 Tisserand criterion; 8.5 Corotating frame; 8.6 Lagrange points; 8.7 Zerovelocity surfaces; 8.8 Stability of Lagrange points; Exercises; 9: Secular perturbation theory; 9.1 Introduction
 9.2 Evolution equations for a twoplanet solar system9.3 Secular evolution of planetary orbits; 9.4 Secular evolution of asteroid orbits; 9.5 Secular evolution of artificial satellite orbits; Exercises; 10: Lunar motion; 10.1 Introduction; 10.2 Preliminary analysis; 10.3 Lunar equations of motion; 10.4 Unperturbed lunar motion; 10.5 Perturbed lunar motion; 10.6 Description of lunar motion; Exercises; Appendix A: Useful mathematics; A.1 Calculus; A.2 Series expansions; A.3 Trigonometric identities; A.4 Vector identities; A.5 Conservative fields; A.6 Rotational coordinate transformations
 Control code
 796804045
 Dimensions
 unknown
 Extent
 1 online resource (x, 266 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781139152310
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 9786613685582
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)796804045
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