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Asteroidal Motion at Commensurabilities Treated in Three Dimensions

Published online by Cambridge University Press:  14 August 2015

Joachim Schubart
Joachim Schubart*
Affiliation:
Astronomisches Rechen-Institut, Heidelberg, Germany, F.R.

Extract

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This paper consists of a review about work done on three-dimensional motion at commensurabilities of either the mean motions, or of secular periods, and of a report on the author's recent results on some special cases. Real and fictitious asteroidal orbits and the corresponding long-period effects are the main subject of interest. At first, methods are listed.

Type
Part V: Minor Planets
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 207 - 215
Copyright
Copyright © Reidel 1979 

References

Akiyama, K.: 1962, “Publ. Astron. Soc. Japan” 14, pp. 164–197.Google Scholar
Belyaev, N.A. and Chebotarev, G.A.: 1968, Astron. Circ. Moscow No.480, Aug.22, 1968.Google Scholar
Brouwer, D. and van Woerkom, A.J.J.: 1950, Astron. Papers American Ephemeris Washington, Vol. 13, part 2.Google Scholar
Chebotarev, G.A., Belyaev, N.A., and Eremenko, R.P.: 1974, IAU Symposium No.62, pp. 63–69.CrossRefGoogle Scholar
Cohen, C.J., Hubbard, E.C., and Oesterwinter, C.: 1973, Astron. Papers American Ephemeris Washington, Vol. 22, part 1.Google Scholar
Franklin, F.A., Marsden, B.G., Williams, J.G., and Bardwell, C.M.: 1975, “Astron. J.” 80, pp. 729–746.Google Scholar
Froeschlé, C. and Scholl, H.: 1977, “Astron. Astrophys.” 57, pp. 33–39.Google Scholar
Froeschlé, C. and Scholl, H.: 1978, “Astron. Astrophys.”, to be published.Google Scholar
Giacaglia, G.E.O.: 1969, “Astron. J.” 74, pp. 1254–1261.Google Scholar
Greenberg, R.: 1977, “Vistas Astron.” 21, pp. 209–239.CrossRefGoogle Scholar
Hagihara, Y.: 1961, “Smithsonian Contrib. Astrophys.” 5, pp. 59–67.CrossRefGoogle Scholar
Hagihara, Y.: 1972, Celestial Mechanics Vol. 2, The MIT Press, pp. 187–199.Google Scholar
Ip, W.-H.: 1976, “Astrophys. Space Sci.” 44, pp. 373–383.CrossRefGoogle Scholar
Ip, W.-H. and Mehra, R.: 1973, “Astron. J.” 78, pp. 142–147.Google Scholar
Janiczek, P.M., Seidelmann, P.K., and Duncombe, R.L.: 1972, “Astron. J.” 77, pp. 764–773.Google Scholar
Marsden, B.G.: 1970, “Astron. J.” 75, pp. 206–217.Google Scholar
Peale, S.J.: 1976, “Ann. Rev. Astron. Astrophys.” 14, pp. 215–246.CrossRefGoogle Scholar
Poincaré, H.: 1902, “Bull. Astron.” 19, pp. 289–310.Google Scholar
Schubart, J.: 1964, Smithsonian Astrophys. Obs. Spec. Rept. No.149.Google Scholar
Schubart, J.: 1966, IAU Symposium No.25, pp. 187–193.CrossRefGoogle Scholar
Schubart, J.: 1968, “Astron. J.” 73, pp. 99–103.Google Scholar
Schubart, J.: 1970, Periodic Orbits, Stability and Resonances, Ed.: Giacaglia, G.E.O., D. Reidel, Dordrecht, pp. 45–52.CrossRefGoogle Scholar
Schubart, J.: 1978, Dynamics of Planets and Satellites and Theories of their Motion, IAU Coll. No.41, Ed.: Szebehely, V., D. Reidel, pp. 137–143.Google Scholar
Schubart, J. and Stumpff, P.: 1966, “Veroeffentl. Astron. Rechen-Inst.” Heidelberg No.18.Google Scholar
Smith, A.J. Jr.: 1964, A Discussion of Halphen's Method, part 2, NASA Techn. Rept., TR R-194.Google Scholar
Schweizer, F.: 1969, “Astron. J.” 74, pp. 779–788.Google Scholar
Takenouchi, T.: 1962, “Ann. Tokyo Astron. Obs.” 7, pp. 191–208.Google Scholar
Williams, J.G.: 1969, Secular Perturbations in the Solar System, Ph.D. Dissertation, Univ. of California, Los Angeles, pp. 1–270.Google Scholar
Williams, J.G.: 1971, Physical Studies of Minor Planets, IAU Coll. No.12, Ed.: Gehrels, T., NASA SP-267, pp. 177–181.Google Scholar
Williams, J.G.: 1973, “Bull. Am. Astron. Soc.” 5, p.363 (Abstract).Google Scholar