Abstract
The desire to understand the orbits of the planets has a history as long as that of mankind. How and why the planets orbit around the sun are questions in two categories. One focuses on geometry and the other on physics. However, without knowing the answer to why, the how may not be answered theoretically, with the exception made by astronomical genius Kepler. After Newton’s second law, all three Kepler laws may be derived theoretically.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bate RR, Mueller DD, White JE (1971) Fundamentals of Astrodynamics. Dover Publications, New York
Battin R.H. (1999) An Introduction to the Mathematics and Methods of Astrodynamics, revised version, AIAA Education Series
Boccaletti D & Pucacco G, 2001, Theory of Oribts, Vol. 1: Integrable systems and non-perturbative methods; Vol. 2: Perturbative and geometrical methods, Springer Berlin
Brouwer D, Clemence GM (1961) Methods of celestial mechanics. Academic Press, New York
Brumberg VA (1995) Analytical Techniques of Celestial Mechanics. Springer, Berlin
Chobotov VA (ed) (1991) Orbital mechanics. AIAA, Washington, D.C
Collins GW (2004) The foundations of celestial mechanics, Pachart Publishing House
Cui C (1990) Die Bewegung künstlicher Satelliten im anisotropen Gravitationsfeld einer gleichmässig rotierenden starren Modellerde. Deutsche Geodätische Kommission, Reihe C: Dissertationen, Heft Nr 357
Cui C (1997) Satellite orbit integration based on canonical transformations with special regard to the resonance and coupling effects. Dtsch Geod Komm bayer Akad Wiss, Reihe A, Nr. 112, 128pp
Herrick S (1972) Astrodynamics, vol II. Van Nostrand Reinhold, London
Kaula WM (1966) 2001) Theory of satellite geodesy. Blaisdell Publishing Company, Dover Publications, New York
Meeus J (1992) Astronomische Algorithmen. Johann Ambrosius Barth
Montenbruck O, Gill E (2000) Satellite Orbits: Models. Methods and Applications, Springer-Heidelberg
Vallado David A, 2007, Fundamentals of Astrodynamics and Applications (3rd Ed), Microcosm Press & Springer
Van Kamp PD (1967) Principles of Astronomy. W.H. Freemann and Company, San Francisco, CA/London
Xu, G. (2003): GPS – Theory, Algorithms and Applications, Springer Heidelberg, ISBN 3-540-67812-3, 315 pages, in English
Xu G (2004) MFGsoft – Multi-Functional GPS/(Galileo) Software: Software User Manual, (Version of 2004), Scientific Technical Report STR04/17 of GeoForschungsZentrum (GFZ) Potsdam, ISSN 1610–0956, 70pp. www.gfz-potsdam.de/bib/pub/str0417/0417.pdf
Xu, G. (2007): GPS – Theory, Algorithms and Applications, second edition, Springer Heidelberg, ISBN 978-3-540-72714-9, 350 pages, in English
Xu, G. (2008): Orbits, Springer Heidelberg, ISBN 978-3-540-78521-7, 230 pages, in English
Diacu F (1992) Singularities of the ?N-?body? problem. Les Publications CRM, Montreal
Diacu F (1996) The solution of the ?n-?body? problem. Math Intelligencer 18:66–70
Goldstein H (1980) Classical mechanics, 2nd edn. ?Addison-Wesley,? New York
Hagihara Y (1970) Celestial mechanics. (vol I and vol II pt 1?and vol II pt 2). MIT Press, Cambridge
Dvorak R, Lhotka C (2013) Celestial dynamics – chaoticity and dynamics of celestial systems. Wiley, Weinheim
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Xu, G., Xu, J. (2013). Introduction. In: Orbits. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32793-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-32793-3_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32792-6
Online ISBN: 978-3-642-32793-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)