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Integrable systems in celestial mechanics [[electronic resource] /] / Diarmuid O Mathúna
Integrable systems in celestial mechanics [[electronic resource] /] / Diarmuid O Mathúna
Autore Ó Mathúna Diarmuid
Edizione [1st ed. 2008.]
Pubbl/distr/stampa Boston, Mass., : Birkhäuser
Descrizione fisica 1 online resource (240 p.)
Disciplina 521
Collana Progress in mathematical physics
Soggetto topico Celestial mechanics
Two-body problem
ISBN 1-281-95454-3
9786611954543
0-8176-4595-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto General Introduction -- Lagrangian Mechanics -- The Kepler Problem -- The Euler Problem I — Planar Case -- The Euler Problem II — Three-dimensional Case -- The Earth Satellite — General Analysis -- The Earth Satellite — Some Special Orbits.
Record Nr. UNINA-9910815046903321
Ó Mathúna Diarmuid  
Boston, Mass., : Birkhäuser
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang
The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang
Autore McCord Christopher Keil
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1998
Descrizione fisica 1 online resource (106 p.)
Disciplina 521
Collana Memoirs of the American Mathematical Society
Soggetto topico Three-body problem
Celestial mechanics
Manifolds (Mathematics)
Soggetto genere / forma Electronic books.
ISBN 1-4704-0217-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1. The integrals and manifolds""; ""2. History of the problem""; ""3. Summary of results ""; ""Chapter 2. The Decomposition of the Spaces""; ""1. The spaces and maps""; ""2. The geometry of the sets""; ""Chapter 3. The Cohomology""; ""1. The cohomology of k[sub(R)](c,h)""; ""2. The cohomology of k(c,h)""; ""3. The homeomorphism type of h(c,h) and h[sub(R)](c,h)""; ""4. The cohomology of m[sub(R)](c,h)""; ""5. The cohomology of m(c,h)""; ""Chapter 4. The analysis of k(c,h) for equal masses""
""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? for equal masses""""2. The semi-minor axis of the ellipse for equal masses""; ""3. The graphs of Z = f(X) and Z = g(X) for equal masses""; ""4. The semi- major axis of the ellipse for equal masses""; ""5. The feasible region c(c, h)""; ""6. k[sub(R)](c,h) for equal masses""; ""7. Orientation in k(c,h)""; ""8. Positive energy""; ""Chapter 5. The analysis of k(c,h) for general masses""; ""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? for general masses""; ""2. The semi-minor axis of the ellipse""
""3. The graph of Z = f(X) and Z = g(X) for general masses""""4. The semi-major axis of the ellipse for unequal masses""; ""5. k[sub(R)](c,h) for unequal masses""; ""Bibliography""
Record Nr. UNINA-9910480228503321
McCord Christopher Keil  
Providence, Rhode Island : , : American Mathematical Society, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang
The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang
Autore McCord Christopher Keil
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1998
Descrizione fisica 1 online resource (106 p.)
Disciplina 521
Collana Memoirs of the American Mathematical Society
Soggetto topico Three-body problem
Celestial mechanics
Manifolds (Mathematics)
ISBN 1-4704-0217-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1. The integrals and manifolds""; ""2. History of the problem""; ""3. Summary of results ""; ""Chapter 2. The Decomposition of the Spaces""; ""1. The spaces and maps""; ""2. The geometry of the sets""; ""Chapter 3. The Cohomology""; ""1. The cohomology of k[sub(R)](c,h)""; ""2. The cohomology of k(c,h)""; ""3. The homeomorphism type of h(c,h) and h[sub(R)](c,h)""; ""4. The cohomology of m[sub(R)](c,h)""; ""5. The cohomology of m(c,h)""; ""Chapter 4. The analysis of k(c,h) for equal masses""
""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? for equal masses""""2. The semi-minor axis of the ellipse for equal masses""; ""3. The graphs of Z = f(X) and Z = g(X) for equal masses""; ""4. The semi- major axis of the ellipse for equal masses""; ""5. The feasible region c(c, h)""; ""6. k[sub(R)](c,h) for equal masses""; ""7. Orientation in k(c,h)""; ""8. Positive energy""; ""Chapter 5. The analysis of k(c,h) for general masses""; ""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? for general masses""; ""2. The semi-minor axis of the ellipse""
""3. The graph of Z = f(X) and Z = g(X) for general masses""""4. The semi-major axis of the ellipse for unequal masses""; ""5. k[sub(R)](c,h) for unequal masses""; ""Bibliography""
Record Nr. UNINA-9910788734503321
McCord Christopher Keil  
Providence, Rhode Island : , : American Mathematical Society, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang
The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang
Autore McCord Christopher Keil
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1998
Descrizione fisica 1 online resource (106 p.)
Disciplina 521
Collana Memoirs of the American Mathematical Society
Soggetto topico Three-body problem
Celestial mechanics
Manifolds (Mathematics)
ISBN 1-4704-0217-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1. The integrals and manifolds""; ""2. History of the problem""; ""3. Summary of results ""; ""Chapter 2. The Decomposition of the Spaces""; ""1. The spaces and maps""; ""2. The geometry of the sets""; ""Chapter 3. The Cohomology""; ""1. The cohomology of k[sub(R)](c,h)""; ""2. The cohomology of k(c,h)""; ""3. The homeomorphism type of h(c,h) and h[sub(R)](c,h)""; ""4. The cohomology of m[sub(R)](c,h)""; ""5. The cohomology of m(c,h)""; ""Chapter 4. The analysis of k(c,h) for equal masses""
""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? for equal masses""""2. The semi-minor axis of the ellipse for equal masses""; ""3. The graphs of Z = f(X) and Z = g(X) for equal masses""; ""4. The semi- major axis of the ellipse for equal masses""; ""5. The feasible region c(c, h)""; ""6. k[sub(R)](c,h) for equal masses""; ""7. Orientation in k(c,h)""; ""8. Positive energy""; ""Chapter 5. The analysis of k(c,h) for general masses""; ""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? for general masses""; ""2. The semi-minor axis of the ellipse""
""3. The graph of Z = f(X) and Z = g(X) for general masses""""4. The semi-major axis of the ellipse for unequal masses""; ""5. k[sub(R)](c,h) for unequal masses""; ""Bibliography""
Record Nr. UNINA-9910820698503321
McCord Christopher Keil  
Providence, Rhode Island : , : American Mathematical Society, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An introduction to celestial mechanics / / Richard Fitzpatrick [[electronic resource]]
An introduction to celestial mechanics / / Richard Fitzpatrick [[electronic resource]]
Autore Fitzpatrick Richard <1963->
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2012
Descrizione fisica 1 online resource (x, 266 pages) : digital, PDF file(s)
Disciplina 521
Soggetto topico Celestial mechanics
ISBN 1-107-23960-5
1-107-23190-6
1-280-77519-X
9786613685582
1-139-51800-3
1-139-51542-X
1-139-15231-9
1-139-51707-4
1-139-51450-4
1-139-51893-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 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
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 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
9.2 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
A.7 Precession
Record Nr. UNINA-9910462429803321
Fitzpatrick Richard <1963->  
Cambridge : , : Cambridge University Press, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An introduction to celestial mechanics / / Richard Fitzpatrick [[electronic resource]]
An introduction to celestial mechanics / / Richard Fitzpatrick [[electronic resource]]
Autore Fitzpatrick Richard <1963->
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2012
Descrizione fisica 1 online resource (x, 266 pages) : digital, PDF file(s)
Disciplina 521
Soggetto topico Celestial mechanics
ISBN 1-107-23960-5
1-107-23190-6
1-280-77519-X
9786613685582
1-139-51800-3
1-139-51542-X
1-139-15231-9
1-139-51707-4
1-139-51450-4
1-139-51893-3
Classificazione SCI005000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 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
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 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
9.2 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
A.7 Precession
Record Nr. UNINA-9910790346103321
Fitzpatrick Richard <1963->  
Cambridge : , : Cambridge University Press, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An introduction to celestial mechanics / / Richard Fitzpatrick [[electronic resource]]
An introduction to celestial mechanics / / Richard Fitzpatrick [[electronic resource]]
Autore Fitzpatrick Richard <1963->
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2012
Descrizione fisica 1 online resource (x, 266 pages) : digital, PDF file(s)
Disciplina 521
Soggetto topico Celestial mechanics
ISBN 1-107-23960-5
1-107-23190-6
1-280-77519-X
9786613685582
1-139-51800-3
1-139-51542-X
1-139-15231-9
1-139-51707-4
1-139-51450-4
1-139-51893-3
Classificazione SCI005000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 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
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 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
9.2 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
A.7 Precession
Record Nr. UNINA-9910814785103321
Fitzpatrick Richard <1963->  
Cambridge : , : Cambridge University Press, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to the Maths and Physics of the Solar System / / Lucio Piccirillo
Introduction to the Maths and Physics of the Solar System / / Lucio Piccirillo
Autore Piccirillo Lucio
Edizione [First edition.]
Pubbl/distr/stampa Boca Raton, FL : , : CRC Press, , [2020]
Descrizione fisica 1 online resource (238 pages)
Disciplina 521
Soggetto topico Celestial mechanics
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910795122703321
Piccirillo Lucio  
Boca Raton, FL : , : CRC Press, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to the Maths and Physics of the Solar System / / Lucio Piccirillo
Introduction to the Maths and Physics of the Solar System / / Lucio Piccirillo
Autore Piccirillo Lucio
Edizione [First edition.]
Pubbl/distr/stampa Boca Raton, FL : , : CRC Press, , [2020]
Descrizione fisica 1 online resource (238 pages)
Disciplina 521
Soggetto topico Celestial mechanics
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910825612303321
Piccirillo Lucio  
Boca Raton, FL : , : CRC Press, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Invariants intégraux. Solutions périodiques du deuxième genre. Solutions doublements asymptotiques] / Henri Poincaré ([T. 3)
Invariants intégraux. Solutions périodiques du deuxième genre. Solutions doublements asymptotiques] / Henri Poincaré ([T. 3)
Autore POINCARÉ, Henri
Descrizione fisica 414 p.
Disciplina 521
Soggetto topico Astronomia teorica
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNISA-990000121700203316
POINCARÉ, Henri  
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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