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Theory of Orbit Determination

$114.99

textbook
  • Date Published: December 2009
  • availability: In stock
  • format: Hardback
  • isbn: 9780521873895

$114.99
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About the Authors
  • 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.

    • Introduces the new algorithms using the latest mathematical tools and results
    • Contains case studies based on actual astronomical surveys and space missions
    • Reviews the required basic material for readers new to the subject
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    Reviews & endorsements

    "This book is written clearly and is almost self-contained." -Alessandra Celletti, Mathematical Reviews

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    Product details

    • Date Published: December 2009
    • format: Hardback
    • isbn: 9780521873895
    • length: 392 pages
    • dimensions: 253 x 178 x 22 mm
    • weight: 0.91kg
    • contains: 2 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface
    Part I. Problem Statement and Requirements:
    1. The problem of orbit determination
    2. Dynamical systems
    3. Error models
    4. The N-body problem
    Part II. Basic Theory:
    5. Least squares
    6. Rank deficiency
    Part III. Population Orbit Determination:
    7. The identification problem
    8. Linkage
    9. Methods by Laplace and Gauss
    10. Weakly determined orbits
    11. Surveys
    12. Impact monitoring
    Part IV. Collaborative Orbit Determination:
    13. The gravity of a planet
    14. Non-gravitational perturbations
    15. Multi arc strategy
    16. Satellite gravimetry
    17. Orbiters around other planets
    References
    Index.

  • Resources for

    Theory of Orbit Determination

    Andrea Milani, Giovanni Gronchi

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  • Instructors have used or reviewed this title for the following courses

    • Orbit Determination
    • Planetary Astronomy
  • Authors

    Andrea Milani, Università degli Studi, Pisa
    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 Gronchi, Università degli Studi, Pisa
    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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