The Lidov-Kozai effect : applications in exoplanet research and dynamical astronomy /: applications in exoplanet research and dynamical astronomy. ([2017])
- Record Type:
- Book
- Title:
- The Lidov-Kozai effect : applications in exoplanet research and dynamical astronomy /: applications in exoplanet research and dynamical astronomy. ([2017])
- Main Title:
- The Lidov-Kozai effect : applications in exoplanet research and dynamical astronomy
- Further Information:
- Note: Ivan I. Shevchenko.
- Authors:
- Shevchenko, Ivan
- Contents:
- Preface; Contents; 1 Dynamical Essence and Historical Background; 1.1 The Keplerian Orbital Elements; 1.2 The "omega-libration''; 1.3 The Breakthrough Premises; 1.4 From Luna-3 to Modern Space Missions; 2 Averaging and Normalization in Celestial Mechanics; 2.1 The Hamiltonian Formalism; 2.2 The Two-Body Problem in a Hamiltonian Form; 2.3 An N-Body Problem in a Hamiltonian Form; 2.4 The Delaunay Variables; 2.5 Near-Integrable Systems; 2.6 The von Zeipel Method; 2.7 The Hori-Deprit Method; 3 Classical Results; 3.1 A Single-Averaged R3BP; 3.2 The Double-Averaged R3BP 3.2.1 The Lidov-Kozai Hamiltonian3.2.2 Equations and Constants of Motion; 3.2.3 Classification of Orbits; 3.2.4 The Lidov-Kozai Diagrams; 3.2.5 The Solution in the Jacobi Elliptic Functions; 3.3 LKE-Preventing Phenomena; 3.3.1 Perturbations by Additional Orbiting Bodies; 3.3.2 Primary's Oblateness; 3.3.3 Tides; 3.3.4 General Relativity; 3.3.5 The Orbital Precession in Total; 3.4 Critical Radii; 4 The Theory Advances; 4.1 LKE in the Non-hierarchical Circular R3BP; 4.2 LKE in Presence of Mean Motion Resonances; 4.3 The "eccentric LK-mechanism'' 4.4 The Stellar Three-Body Problem in Octupole Approximation4.4.1 Triple Stars in the Galaxy; 4.4.2 The Hierarchical Stellar Three-Body Problem in Historical Perspective; 4.4.3 Equations of Motion in the Jacobi Frame; 4.4.4 The Octupole Hamiltonian of the Stellar Problem; 4.4.5 Technical Dangers of Formal Elimination of Nodes; 4.4.6 Octupole Approximation Versus QuadrupolePreface; Contents; 1 Dynamical Essence and Historical Background; 1.1 The Keplerian Orbital Elements; 1.2 The "omega-libration''; 1.3 The Breakthrough Premises; 1.4 From Luna-3 to Modern Space Missions; 2 Averaging and Normalization in Celestial Mechanics; 2.1 The Hamiltonian Formalism; 2.2 The Two-Body Problem in a Hamiltonian Form; 2.3 An N-Body Problem in a Hamiltonian Form; 2.4 The Delaunay Variables; 2.5 Near-Integrable Systems; 2.6 The von Zeipel Method; 2.7 The Hori-Deprit Method; 3 Classical Results; 3.1 A Single-Averaged R3BP; 3.2 The Double-Averaged R3BP 3.2.1 The Lidov-Kozai Hamiltonian3.2.2 Equations and Constants of Motion; 3.2.3 Classification of Orbits; 3.2.4 The Lidov-Kozai Diagrams; 3.2.5 The Solution in the Jacobi Elliptic Functions; 3.3 LKE-Preventing Phenomena; 3.3.1 Perturbations by Additional Orbiting Bodies; 3.3.2 Primary's Oblateness; 3.3.3 Tides; 3.3.4 General Relativity; 3.3.5 The Orbital Precession in Total; 3.4 Critical Radii; 4 The Theory Advances; 4.1 LKE in the Non-hierarchical Circular R3BP; 4.2 LKE in Presence of Mean Motion Resonances; 4.3 The "eccentric LK-mechanism'' 4.4 The Stellar Three-Body Problem in Octupole Approximation4.4.1 Triple Stars in the Galaxy; 4.4.2 The Hierarchical Stellar Three-Body Problem in Historical Perspective; 4.4.3 Equations of Motion in the Jacobi Frame; 4.4.4 The Octupole Hamiltonian of the Stellar Problem; 4.4.5 Technical Dangers of Formal Elimination of Nodes; 4.4.6 Octupole Approximation Versus Quadrupole Approximation: New Behaviours; 4.5 Timescales of the LKE; 4.5.1 Timescales of the Classical LK-Oscillations; 4.5.2 Timescales of the Eccentric LK-Mechanism; 4.6 LKE: Resonance or Not 4.6.1 Nonlinear Resonance in the Pendulum Model4.6.2 The Place of LK-Resonance in the General Typology of Resonances; 5 Understanding Irregular Satellites; 5.1 Irregular Satellites: Origin and Orbits; 5.1.1 Where They Came From; 5.1.2 Orbital Distributions; 5.2 Jovian System; 5.3 Saturnian System; 5.4 Uranian and Neptunian Systems; 6 Sungrazing Comets; 6.1 Cometary Dynamics Subject to LKE; 6.1.1 The Jacobi Integral and Tisserand Relation; 6.1.2 Comets in Highly Inclined Orbits; 6.2 Origin of Sungrazers; 6.3 The Oort Cloud and Cometary Transport 7 Asteroids and Kuiper Belt Objects in Inclined Orbits7.1 The Kozai Hamiltonian and Diagrams; 7.2 Inclined Asteroids: Inside Perturber's Orbit; 7.3 Inclined TNOs: Outside Perturber's Orbit; 7.4 Inclined Asteroids and TNOs in Mean Motion Resonances; 7.4.1 Mean Motion Resonances; 7.4.2 Secular Resonances; 7.5 A Resonant "Dance'' of 2335 James; 8 The Role in Sculpting Exoplanetary Systems; 8.1 Secular Dynamics of Exoplanetary Systems; 8.2 LKE in Multiplanet Systems; 8.3 LKE in Planetary Systems of Binary Stars; 8.4 The Lidov-Kozai Migration and the Origin of "hot Jupiters'' … (more)
- Publisher Details:
- Switzerland : Springer
- Publication Date:
- 2017
- Extent:
- 1 online resource
- Subjects:
- 521
Physics
Celestial mechanics
Celestial mechanics
Mathematics -- Mathematical Analysis
Science -- Chaotic Behavior in Systems
Science -- Earth Sciences -- Geology
Science -- Astrophysics & Space Science
Nonlinear science
Solar system: the Sun & planets
Astronautics
Differentiable dynamical systems
Planetology
Astrophysics
Astrophysics
Electronic books - Languages:
- English
- ISBNs:
- 9783319435220
3319435221 - Related ISBNs:
- 3319435205
9783319435206 - Notes:
- Note: Description based on online resource; title from digital title page (viewed on October 19, 2016).
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