Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982pazh....8..125k&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 8, Feb. 1982, p. 125-128.) Soviet Astronomy Letters, vol. 8, Jan.-Feb. 1982, p. 65, 66.
Astronomy and Astrophysics
Astronomy
Asteroids, Circular Orbits, Hamilton-Jacobi Equation, Orbit Calculation, Three Body Problem, Canonical Forms, Ecliptic, Solar Orbits
Scientific paper
Karaganchu (1978) has examined a simplified case of the circular restricted problem of three bodies in three dimensions, wherein a certain average was taken over the disturbing function of the true problem. This simplified version can be employed as a new intermediate orbit for developing an analytic theory of the motion of minor planets whose orbit plane is steeply inclined to the ecliptic plane. The present investigation is concerned with a treatment of the simplified problem in terms of other canonical variables. In connection with the considered approach, the simplified problem is reduced to an analog of the Delaunay problem for the three-dimensional case. Explicit relations for the new variables as functions of time are obtained with the aid of the Hamilton-Jakobi procedure.
Karaganchu V. N.
Karaganchu V. A. A.
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