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531 --- dynamica --- mechanica --- raketten --- ruimtevaart --- satellieten --- Orbital mechanics.
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Acqui 2006 --- Artificial satellites --- Orbital mechanics --- Perturbation (Mathematics)
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Orbital mechanics --- Artificial satellites --- Orbits --- 521.1 --- -Orbital mechanics --- Astrodynamics --- Mechanics --- Earth satellites --- Orbiting vehicles --- Satellite vehicles --- Satellites, Artificial --- Space vehicles --- Anti-satellite weapons --- Celestial mechanics. General principles of dynamical astronomy --- Orbital mechanics. --- Orbits. --- 521.1 Celestial mechanics. General principles of dynamical astronomy --- Artificial satellites - Orbits --- ARTIFICIAL SATELLITES --- DYNAMICS
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This book presents fundmentals of orbit determination--from weighted least squares approaches (Gauss) to today's high-speed computer algorithms that provide accuracy within a few centimeters. Numerous examples and problems are provided to enhance readers' understanding of the material.*Covers such topics as coordinate and time systems, square root filters, process noise techniques, and the use of fictitious parameters for absorbing un-modeled and incorrectly modeled forces acting on a satellite. *Examples and exercises serve to illustrate the principles throughout each chapter.
Orbital mechanics. --- Artificial satellites --- Space trajectories. --- Orbits --- Mathematical models. --- Space vehicles --- Astrodynamics --- Space flight --- Trajectories (Mechanics) --- Earth satellites --- Orbiting vehicles --- Satellite vehicles --- Satellites, Artificial --- Anti-satellite weapons --- Mechanics --- Trajectories --- Artificial satellites - Orbits - Mathematical models.
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Theory of Orbits treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory, making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motion. The two volumes are meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first three chapters of this second volume are devoted to the theory of perturbations, starting from classical problems and arriving at the KAM theory, and to the introduction of the use of the Lie transform. A whole chapter treats the theory of adiabatic invariants and its applications in celestial mechanics and stellar dynamics. Also the theory of resonances is illustrated and applications in both fields are shown. Classical and modern problems connected to periodic solutions are reviewed. The description of modern developments of the theory of chaos in conservative systems is the subject of a chapter in which an introduction is given to what happens in both near-integrable and non-integrable systems. The invaluable help provided by computers in the exploration of the long-time behaviour of dynamical systems is acknowledged in a final chapter, where some numerical algorithms and their applications both to systems with few degrees of freedom and to large N-body systems are illustrated.
Orbits. --- Orbites --- 521.1 --- Kepler's equation --- Orbital mechanics --- Celestial mechanics. General principles of dynamical astronomy --- 521.1 Celestial mechanics. General principles of dynamical astronomy --- Orbits --- Astrophysics. --- Observations, Astronomical. --- Astronomy—Observations. --- Statistical physics. --- Dynamical systems. --- Space sciences. --- Geophysics. --- Astrophysics and Astroparticles. --- Astronomy, Observations and Techniques. --- Complex Systems. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Geophysics/Geodesy. --- Statistical Physics and Dynamical Systems. --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Science and space --- Space research --- Cosmology --- Science --- Astronomy --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Astronomical observations --- Observations, Astronomical --- Astronomical physics --- Cosmic physics --- Statistical methods
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