LEADER 05862nam 22006852 450 001 9910462429803321 005 20151005020622.0 010 $a1-107-23960-5 010 $a1-107-23190-6 010 $a1-280-77519-X 010 $a9786613685582 010 $a1-139-51800-3 010 $a1-139-51542-X 010 $a1-139-15231-9 010 $a1-139-51707-4 010 $a1-139-51450-4 010 $a1-139-51893-3 035 $a(CKB)2670000000206171 035 $a(EBL)944751 035 $a(OCoLC)796804045 035 $a(SSID)ssj0000690373 035 $a(PQKBManifestationID)11385634 035 $a(PQKBTitleCode)TC0000690373 035 $a(PQKBWorkID)10628158 035 $a(PQKB)11023533 035 $a(UkCbUP)CR9781139152310 035 $a(MiAaPQ)EBC944751 035 $a(Au-PeEL)EBL944751 035 $a(CaPaEBR)ebr10578251 035 $a(CaONFJC)MIL368558 035 $a(EXLCZ)992670000000206171 100 $a20110915d2012|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn introduction to celestial mechanics /$fRichard Fitzpatrick$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2012. 215 $a1 online resource (x, 266 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-02381-5 320 $aIncludes bibliographical references and index. 327 $aCover; 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 one-dimensional potential; 1.8 Simple harmonic motion; 1.9 Two-body 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 327 $a2.6 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 327 $a4.3 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 327 $a7.3 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 Spin-orbit coupling; 7.12 Cassini's laws; Exercises; 8: Three-body problem; 8.1 Introduction; 8.2 Circular restricted three-body problem; 8.3 Jacobi integral; 8.4 Tisserand criterion; 8.5 Co-rotating frame; 8.6 Lagrange points; 8.7 Zero-velocity surfaces; 8.8 Stability of Lagrange points; Exercises; 9: Secular perturbation theory; 9.1 Introduction 327 $a9.2 Evolution equations for a two-planet 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 327 $aA.7 Precession 330 $aThis 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 three-body 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. 606 $aCelestial mechanics 615 0$aCelestial mechanics. 676 $a521 700 $aFitzpatrick$b Richard$f1963-$0769746 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910462429803321 996 $aIntroduction to celestial mechanics$91569646 997 $aUNINA