Modern Celestial Mechanics: From Theory to Applications

Proceedings of the Third Meeting on Celestical Mechanics — CELMEC III, held in Rome, Italy, 18–22 June, 2001

AvAlessandra Celletti,Sylvio Ferraz-Mello

Häftad, Engelska, 2010

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Beskrivning

This book is intended to diffuse original research results interesting people working in Celestial Mechanics in both theory and applications. Theoretical investigators will find several results on Hamiltonian Dynamics, periodic Orbits, Chaos Diagnostic and Perturbations Theory. Applications cover several directions of research starting with those related to space exploration (mission design and space research) to those related to astronomy (extrasolar planets, asteroids, Near Earth asteroids). Since this book carries original results, it is unique and complements similar books and journals. Some of the subjects have great media appeal: the risk of impact of space debris on the Space Station, the possibility of fly-by missions to asteroids approaching dangerously to our planet, the study of the orbits of these objects, etc. Appealing for a large audience among scientists are the subjects related to Chaos and Order as well as those centered on the study of the dynamics of exoplanets (extrasolar planets). The appeal of the more theoretical papers lies in the fact that they make a tour on the state-of-the-art of several classical problems.

Produktinformation

Utgivningsdatum:2010-12-08
Mått:155 x 235 x 27 mm
Vikt:733 g
Format:Häftad
Språk:Engelska
Antal sidor:476
Förlag:Springer
ISBN:9789048160785

Utforska kategorier

Innehållsförteckning

GOCE: The Earth Gravity Field by Space Gradiometry.- Symmetries and Rank Deficiency in the Orbit Determination Around Another Planet.- The Rotation of Europa.- Resonant Fly-By Missions to Near Earth Asteroids.- Analysis of the Space Debris Impacts Risk on the International Space Station.- On the Stability of the Terrestrial Planets as Models for Exosolar Planetary Systems.- Generalized Averaging Principle and the Secular Evolution of Planet Crossing Orbits.- Probing the Nekhoroshev Stability of Asteroids.- Resonant Periodic Motion and the Stability of Extrasolar Planetary Systems.- Stability in the Full Two-Body Problem.- Geometry of Chaos in Models of Stellar Dynamics.- Order and Chaos in Self-Consistent Galactic Models.- On the Relationship Between Fast Lyapunov Indicator and Periodic Orbits for Continuous Flows.- Effective Hamiltonian for the D’Alembert Planetary Model Near a Spin/Orbit Resonance.- A Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-body Problem.- Estimate of the Transition Value of Librational Invariant Curves.- Ideal Resonance Problem: The Post-PostPendulum Approximation.- The Web of Periodic Orbits at L4.- Long-term Stability Analysis of Quasi Integrable Degenerate Systems Through the Spectral Formulation of the Nekhoroshev Theorem.- How the Method of Minimization of Action Avoids Singularities.- Non-existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem.- Dynamical Evolution of the Adeona and Gefion Asteroid Families.- On the Expansion of the External Gravitational Potential in Spheroidal Harmonics.- Periodic Orbits Approximation of Analyticity Domains of Invariant Curves.- Low ?V Orbit Insertion in Interplanetary Missions.- Long-Term Dynamics of theTunguska Cosmic Body.- On the Triangular Points of the Sun-Jupiter System.- Inter-Comparisons Between Numerical Integrations and Analytical Theory for the Solar System.- The Central Manifold for the Collinear Libration Points.- Periodic Orbits of Trans-Neptunian Objects at the 2/3 and 3/4 Resonances.- Rotation of Natural Shaped Satellites and their Orbital Motion.- From Kolmogorov’s Normalization Algorithm to the Orbits in the Three-Body Planetary Problem.- Dynamical Behaviour of Asteroids in the Region a < 2 AU.- Study of the Hamiltonian Form Near a Resonant Periodic Orbit.- Asteroid (9934) Caccioppoli: What’s in a Name?.- A Stability Study of S-type Orbits in the Binary Gliese 86.- Non-Integrability Tests of Weakly Integrable Systems.- Application of the Frequency Map Analysis to the Global Dynamics in the Solar System.- Realistic Estimations of the Effective Stability Region of the Trojan Asteroids.- Diffusion of Asteroids in Mean Motion Resonances.- Orbital Behaviour of the Inner Faint Jovian Satellites: Modelling the Motion of JXIV Thebe.- Stable Chaos in Mean Motion Resonances.- Tethys’ Eccentricity from the Observations of Mimas: A Way to Understand the Evolution of the Mimas-Tethys System.- Interaction of the Yarkovsky-Drifting Orbits with Weak Resonances: Numerical Evidence and Challenges.- Temporary Capture.