Abstract
A new method of computing the preliminary orbit of a celestial body based on four pairs of angle measurements has been suggested. The method makes use of preliminary orbit previously constructed by the author based on two position vectors and a corresponding time interval, taking into account the main part of the perturbations in the motion of the body under study. Using the example of constructing the orbit of the minor planet 1383 Limburgia, the results obtained using a four-position procedure of the Gaussian type based on the solution of a two-body problem have been compared with those of the new method. The comparison showed the new method to be highly efficient for perturbed motion studies. It is especially advantageous in the case of high-accuracy observation data on small orbital arcs.
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References
Bauschinger, J., Die Bahnbestimmung Der Himmelskörper, Leipzig: Engelmann-Verlag, 1928.
Berberich, A., Abgekürzte Berechnung Einer Elliptischen Planetenbahn Aus Vier Beobachtungen, Veröff. Königl. Astron. Rechen-Instituts zu Berlin, 1902, no. 20, pp. 81–86.
Dubyago, A.D., Opredelenie orbit (Determination of Orbits), Moscow: GITTL, 1949.
Escobal, P.R., Methods of Orbit Determination, New York: Wiley, 1965.
Everhart, E., An Efficient Integrator that Uses Gauss-Radau Spacins, Dynamics of Comets: their Origin and Evolution (Proc. of the 83rd IAU Colloq.), Rome, 1984, Carusi, A. and Valsecchi, G.B., Eds., Dordrecht: Reidel, 1985, pp. 185–202.
Herget, P., Computation of Preliminary Orbits, Astron. J., 1965, vol. 70, pp. 1–3.
Herrick, S., Astrodynamics, London: Van Nostrand Reinhold Co, 1971, vol. 1.
Marsden, B.G., The Computation of Orbits in Indeterminate and Uncertain Cases, Astron. J., 1991, vol. 102, pp. 1539–1552.
Oppolzer, Th., Lehrbuch zur Bahnbestimmung der Kometen und Planeten, Leipzig: Engelmann, 1870, vol. 1.
Subbotin, M.F., Vvedenie v Teoreticheskuyu Astronomiyu (Introduction to Theoretical Astronomy), Moscow: Nauka, 1968.
Shefer, V.A., The Determination of an Intermediate Perturbed Orbit from Two Position Vectors, Astron. Vestn., 2003a, vol. 37, no. 3, pp. 265–272 [Sol. Syst. Res. (Engl. Transl.), vol. 37, no. 3, pp. 243–250].
Shefer, V.A., A Method for the Determination of an Intermediate Orbit from three Positions of the Small Body on the Celestial Sphere, Astron. Vestn., 2003b, vol. 37, no. 4, pp. 356–363 [Sol. Syst. Res. (Engl. Transl.), vol. 37, no. 4, pp. 326–332].
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Original Russian Text © V.A. Shefer, 2008, published in Astronomicheskii Vestnik, 2008, Vol. 42, No. 5, pp. 434–443.
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Shefer, V.A. A method of intermediate orbit determination based on four positions of a minor body on the celestial sphere. Sol Syst Res 42, 405–413 (2008). https://doi.org/10.1134/S0038094608050043
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DOI: https://doi.org/10.1134/S0038094608050043