Abstract
We propose a method of constructing numerical theories of comet motion that cover long time intervals. The method involves the determination of individual values of the constants A 1, A 2, and A 3 (radial, transversal, and normal components of nongravitational acceleration) and photocenter shifts for each appearance with the presence of a sufficient quantity of observations. Moreover, in the case of close planetary approaches, bursts of brightness, or heavy shifts in the cometary gas production maxima against the perihelion when standard models of nongravitational acceleration cannot provide an accurate presentation of the observations, we propose the use of instant velocity measurements. This method was used to construct a unified numerical theory of motion of the Kopff comet in the interval of 1906–2002. The theory encompassed 16 appearances of the comet with the mean error of unit weight σ = 1.40.
Similar content being viewed by others
References
Andrienko, D.A. and Karpenko, A.V., Fizicheskie kharakteristiki komet 1981–1985 gg (Physical Characteristics of Comets in 1981–1985), Kiev, 1993.
Brumberg, V.A., Relyativistskaya Nebesnaya Mekhanika (Essential Relativistic Celestial Mechanics), Moscow: Nauka, 1972.
Dubyago, A.D., Motion of the Periodic Comet Brooks 2 from 1883 to 1946, Uch. Zapiski Kazanskogo Universiteta, 1950, vol. 110, no. 8, p. 5.
Everhart, E., Implicit Single—Sequence Methods for Integrating Orbits, Celest. Mech., 1974, vol. 10, p. 35.
Kraemer, K.E., Lisse, C.M., Price, S.D., et al., Midcourse Space Experiment Observations of Small Solar System Bodies, Astron. J., 2005, vol. 130, pp. 2363–2382.
Marsden, B.G., Sekanina, Z., and Yeomans, D.K., Comets and Nongravitational Forces, Astron. J., 1973, vol. 78, no. 2. pp. 211–229.
Marsden, B.G. and Williams, G.V., Catalogue of Cometary Orbits, Cambridge: SAO, 2005.
Ogneva, O.F., Motion of Comets Approaching the Jupiter, Cand. Sci. (Phys.-Math.) Dissertation, 2007.
Sitarski, G., The Nongravitational Motion of Comet P/Kopff during 1906–1991, Acta Astronomica, 1994, vol. 44, pp. 417–426.
Vsekhsvyatskii, S.K., Fizicheskie kharakteristiki komet (Physical Characteristics of Comets), Moscow: Gos. iz-vo fiz.-mat. Literatury, 1958.
Vsekhsvyatskii, S.K., Fizicheskie kharakteristiki komet, nablyudavshikhsya v 1954–1960 gg. (Physical Characteristics of Comets Observed in 1954–1960), Moscow: Nauka, 1966.
Vsekhsvyatskii, S.K., Komety 1961–1965 gg. (Comets in 1961–1965), Moscow: Nauka, 1967.
Vsekhsvyatskii, S.K. and Il’chishina, N.I., Fizicheskie kharakteristiki komet 1965–1970 gg. (Physical Characteristics of Comets of 1965–1970), Moscow: Nauka, 1974.
Vsekhsvyatskii, S.K., Fizicheskie kharakteristiki komet 1971–1975 gg (Physical Characteristics of Comets of 1971–1975), Kiev: Naukova dumka, 1979.
Author information
Authors and Affiliations
Additional information
Original Russian Text © Yu.S. Bondarenko, Yu.D. Medvedev, 2010, published in Astronomicheskii Vestnik, 2010, Vol. 44, No. 2, pp. 158–166.
Rights and permissions
About this article
Cite this article
Bondarenko, Y.S., Medvedev, Y.D. Long-term numerical theories of comet motion. Sol Syst Res 44, 144–151 (2010). https://doi.org/10.1134/S0038094610020073
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0038094610020073