Known and unknown properties of Hansen Ideal coordinates are summarized. It is shown that the ideal space frame is a general and necessary component of basic celestial mechanics and astrodynamics, as well as of any theory of motion. A typical consequence is the intimate correlation of the Hansen frame with the Lagrange constraint within the method of the variation of the parameters. The use of observations in the ideal frame may allow conclusions on the intergalactic fundamental coordinate system (© 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

References

Aiton, E.J.: 1960, Annals of Science 16, 65
10.1080/00033796000200059
Google Scholar
Brouwer, D.: 1959a, AJ 64, 378
10.1086/107958
Web of Science® Google Scholar
Brouwer, D.: 1959b, in: G. Birkhoff, R.E. Langer (eds.), Orbit theory, p. 152
Google Scholar
Brouwer, D., Clemence, G.M.: 1961, Methods ofcelestial mechanics, Academic Press, New York
Google Scholar
Brown, E.W.: 1896, An introductory treatise on the lunar theory, University Press, Cambridge
Google Scholar
Brumberg, V.A.: 1995, Analytical techniques of celestial mechanics, Springer-Verlag, Berlin, Heidelberg, New York
Google Scholar
Deprit, A.: 1975, Journal of Research of the National Bureau of Standards - B. Mathematical Sciences. 79B, 1
10.6028/jres.079B.001
Web of Science® Google Scholar
Deprit, A.: 1976, Celest. Mech. 13, 253
10.1007/BF01232728
Web of Science® Google Scholar
Dziobek, O.: 1962, Mathematical theories of planetary motion, Dover Publications, New York
Google Scholar
Efroimsky, M.: 2005, Annals of the New York Academy of Sciences 1065, 346
10.1196/annals.1370.016
PubMed Web of Science® Google Scholar
Fisher, D.: 1963, AJ 68, 718
10.1086/109200
Web of Science® Google Scholar
Hansen, P.A.: 1857, Auseinandersetzung einer zweckmäßigen Methode zur Berechnung der absoluten Störungen der Kleinen Planeten, erste Abhandlung, Abhandlungen der mathematisch-physischen Classe der königlich sächsischen Gesellschaft der Wissenschaften, dritter Band, bei S. Hirzel, Leipzig; dritte Abhandlung im fünften Band (1861)
Google Scholar
Hansen, P.A.: 1864, Darlegung der theoretischen Berechnung der in den Mondtafeln angewandten Störungen, erste, zweite Abhandlung, Abhandlungen der mathematisch-physischen Classe der königlich sächsischen Gesellschaft der Wissenschaften, sechster Band und siebenter Band (1865), bei S. Hirzel, Leipzig
Google Scholar
Herget, P.: 1959, in: G. Birkhoff, R.E. Langer (eds.), Orbit theory, p. 29
Google Scholar
Herget, P., Musen, P.: 1958, AJ 63, 430
10.1086/107801
Web of Science® Google Scholar
Jochim, E.F.M.: 2011, Die Verwendung von Hansen-Systemen in Himmelsmechanik und Astrodynamik, DLR-FB-2011-04
Google Scholar
Musen, P.: 1958, AJ 63, 426
10.1086/107800
Web of Science® Google Scholar
Musen, P.: 1959, J. Geophys. Res. 64, 2271
10.1029/JZ064i012p02271
Web of Science® Google Scholar
Musen, P.: 1961, J. Geophys. Res. 66, 403
10.1029/JZ066i002p00403
Web of Science® Google Scholar
Musen, P.: 1963, J. Geophys. Res. 68, 1439
10.1029/JZ068i005p01439
Web of Science® Google Scholar
Musen, P.: 1968, Bulletin Astronomique, Serie 3, 3, Fascicule 3, 253
Google Scholar
Palacios, M.: 2000, Symplectic versus other propagators in the ideal formulation of the Earth satellite problem', Internat. Symp. Space Dynamics, CNES, June 26-30, 2000, Biarritz
Google Scholar
Palacios, M., Calvo, C.: 1996, The Journal of the Astronautical Sciences, 44, 63
Web of Science® Google Scholar
Phelan, H.T.: 1962, Computation ofsatellite orbits by the Hansen Method as modified by Musen, NASA, NASA TR R-147, Goddard Space Flight Center
Google Scholar
Struble, R.A.: 1960, Journal of Mathematical Analysis and Applications, 1, 300
10.1016/0022-247X(60)90003-2
Google Scholar
Struble, R.A.: 1961, Arch. Rational Mech. Anal. 7, 87
10.1007/BF00250753
Web of Science® Google Scholar
Stumpff, K.: 1974, Himmelsmechanik III, DVW Berlin
Google Scholar
Tisserand, F.: 1889-1896, Traité de Mécanique Céleste, Tome I – Tome IV, Gauthiers-Villars, Paris
Google Scholar
Van der Ha, J.: 1985, Z. Flugwiss. Weltraumforschung 9, 217
Google Scholar
Vinh, N.X.: 1970, Celest. Mech. 2, 64
10.1007/BF01230451
Google Scholar
Yarov-Yarovoi, M.S.: 1961, Soviet Ast. 4, 850
Google Scholar

Citing Literature

Volume333, Issue8

October 2012

Pages 774-783

The significance of the Hansen Ideal space frame

Abstract

References

Citing Literature

References

Information

About Wiley Online Library

Help & Support

Opportunities

Connect with Wiley

The significance of the Hansen Ideal space frame

Abstract

References

Citing Literature

References

Related

Information