Theory of Orbit Determination

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Cambridge University Press, 2010 - 382 Seiten
Determining orbits for natural and artificial celestial bodies is an essential step in the exploration and understanding of the Solar System. However, recent progress in the quality and quantity of data from astronomical observations and spacecraft tracking has generated orbit determination problems which cannot be handled by classical algorithms. This book presents new algorithms capable of handling the millions of bodies which could be observed by next generation surveys, and which can fully exploit tracking data with state-of-the-art levels of accuracy. After a general mathematical background and summary of classical algorithms, the new algorithms are introduced using the latest mathematical tools and results, to which the authors have personally contributed. Case studies based on actual astronomical surveys and space missions are provided, with applications of these new methods. Intended for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering, this book is also of interest to non-professional astronomers.
 

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Inhalt

DYNAMICAL SYSTEMS
15
ERROR MODELS
23
THE NBODY PROBLEM
33
LEAST SQUARES
59
RANK DEFICIENCY
87
THE IDENTIFICATION PROBLEM
113
LINKAGE
137
METHODS BY LAPLACE AND GAUSS
171
IMPACT MONITORING
237
THE GRAVITY OF A PLANET
261
NONGRAVITATIONAL PERTURBATIONS
287
MULTIARC STRATEGY
311
SATELLITE GRAVIMETRY
323
ORBITERS AROUND OTHER PLANETS
349
References
371
Index
379

WEAKLY DETERMINED ORBITS
197
SURVEYS
219

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Über den Autor (2010)

Andrea Milani is Full Professor of Mathematical Physics in the Department of Mathematics, University of Pisa. His areas of research include the N-body problem, stability of the Solar System, asteroid dynamics and families, satellite geodesy, planetary exploration, orbit determination, and asteroid impact risk.

Giovanni F. Gronchi is a Researcher of Mathematical Physics in the Department of Mathematics, University of Pisa. His research is on Solar System body dynamics, perturbation theory, orbit determination, singularities and periodic orbits of the N-body problem.

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