Systematic and random deformations of orbits of long-period comets

Details Systematic and random deformations of orbits of long-period comets Systematic and random deformations of orbits of long-period comets

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpspr...5...22a&link_type=abstract

In its USSR Rept.: Space (JPRS-USP-85-003) p 22 (SEE N85-25284 15-12) Transl. into ENGLISH from Pisma v Astronomicheskiy Zh.

Astronomy and Astrophysics

Astronomy

Comets, Deformation, Gravitational Effects, Orbital Elements, Orbits, Approximation, Differential Equations, Perturbation

Scientific paper

Cometary orbits can be classified on the basis of their semimajor axis a, each of which is characterized by a certain relationship between the solar gravitational force (SGF) and galactic perturbational forces (GPF). This article is limited to comets with a approx 10 to the 3rd power -10 to the 4th power AU. In such cases the role of GPF gradually increases and they must be taken into account as small perturbations. These GPF are of a dual nature. They include regular forces (RF), systematically operative, and irregular forces (IF) of a random nature. A system of differential equations for evolution of the orbital elements of a comet under the influence of the RF of the Galaxy on the assumption of a solar circular orbit were derived. The study was limited to a Hooke perturbing potential approximation. The equations were averaged for the period of revolution of the comet around the Sun. It was found that during half a galactic year the orbital elements change little as a result of perturbations. A system of averaged differential equations was derived for which a general solution was found.

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