The origin and dynamics of the cometary system

Details The origin and dynamics of the cometary system The origin and dynamics of the cometary system

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987kfnt....3...66r&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 3, Jan.-Feb. 1987, p. 66-77. In Russian.

Physics

5

Comets, Orbital Elements, Planetary Evolution, Solar System, Three Body Problem, Celestial Mechanics, Jacobi Integral, Planetary Mass, Planetary Orbits

Scientific paper

It is hypothesized that nearly parabolic comets originated as a result of ice-crust ejection by massive transplutonian planets or their satellites. The Jacobi integral and the Tisserand criterion are obtained for arithmetical mean values of the orbital parameters of a multiplicity of third bodies. The theorem stating that the period of the parent planet is equal to the derivative of the kinetic momentum of the individual comet from its total energy is proved. Formulas for the determination of the semimajor axis and the mass of the parent planet are obtained. It is argued that the most massive planet has a mass of about 50 earth masses and a retrograde motion with a period of about 2000 yr.

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