Abstract
The disturbing functions are required to be expanded as explicit ones of time and orbital elements.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wu LD, Wang HB, Ma JY (2012) Inclination function in satellite dynamics. Science Press, Beijing
Gaposchkin EM (1973) 1973 Smithsonian standard earth (III). SAO Special Report No. 353, Smithsonian Astrophysical Observatory, Cambridge, Massachusetts
Wu LD (2011) Orbit and detection of artificial satellites and space debris. China Science and Technology Press, Beijing (In Chinese)
Kaula WM (1966) Theory of satellite geodesy: applications of satellites to geodesy. Blaisdell Publishing Company
Kaula WM (1961) Analysis of gravitational and geometric aspects of geodetic utilization of satellites. Geophys J Int 5(2):104–133
Kaula WM (1962) Development of the lunar and solar disturbing function for a close satellite. Astron J 67(5):300–303
Plummer HC (1918) An introductory treatise on dynamical astronomy. Cambridge University Press, London
Cayley A (1861) Tables of the developments of functions in the theory of elliptic motion. Mem R Astron Soc 29:191–306
Cherniack JR (1972) Computation of Hansen coefficients. SAO Special Report No. 346, Smithsonian Astrophysical Observatory
Hughes S (1981) The computation of tables of Hansen coefficients. Celest Mech 25(1):101–107
Newcomb S (1895) A development of the perturbative function in cosines of multiples of the mean anomalies and of angles of multiples of the mean anomalies and of angles between the perihelia and common node and in powers of the eccentricities and mutual inclination. U.S. Nautical Almanac Office, Washington
Izsak IG, Gerard JM, Efimba R, Barnett MP (1964) Construction of Newcomb operators on a digital computer. SAO Special Report No. 140, Smithsonian Astrophysical Observatory
Petit G, Luzum B (eds) (2010) IERS conventions (2010), IERS Technical Note No. 36, Verlag des Bundesamts für Kartographie und Geodäsie, Frankfurt am Main
Wnuk E (1997) Highly eccentric satellite orbits. Adv Space Res 19(11):1735–1740
Wu LD, Zhang MJ (2012) Recursive methods for computation of Hansen coefficients \(X_{0}^{n,m}, X_{0}^{-(n+1),m}\) and their derivatives. J Astrodyn 2(4):1–10 (In Chinese)
Wu LD, Zhang MJ (2022) Direct calculation methods of Hansen coefficients and their derivatives. Chin Astron Astrophy 46(1):137–151
Giacaglia GEO (1976) A note on Hansen’s coefficients in satellite theory. Celest Mech 14(4):515–523
McClain WD (1978) A recursively formulated first-order semianalytic artificial satellite theory based on the generalized method of averaging. Volume II. The explicit development of the first-order averaged equations of motion for the nonspherical gravitational and nonresonant third-body perturbations. NASA CR-156783
Proulx RJ, McClain WD (1988) Series representations and rational approximations for Hansen coefficients. J Guidance 11(4):313–319
Wu LD, Zhang MJ (2021) Two new recursion formulae of Hansen coefficients. Chin Astron Astrophy 45(4):531–541
Wu LD, Zhang MJ (2022) Computational efficiency of the recursion of Hansen coefficients. Chin Astron Astrophy 46(2):65–72
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
Copyright information
© 2024 Nanjing University Press
About this chapter
Cite this chapter
Wu, L., Zhang, M. (2024). Introduction. In: Hansen Coefficients in Satellite Orbital Dynamics. Springer Aerospace Technology. Springer, Singapore. https://doi.org/10.1007/978-981-97-0456-9_1
Download citation
DOI: https://doi.org/10.1007/978-981-97-0456-9_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-97-0455-2
Online ISBN: 978-981-97-0456-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)