Why we have not yet found a retrograde planet in the solar system?

Details Why we have not yet found a retrograde planet in the solar system? Why we have not yet found a retrograde planet in the solar system?

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apmam..11..421w&link_type=abstract

Applied Mathematics and Mechanics (English Edition) (ISSN 0253-4827), vol. 11, May 1990, p. 421-428.

Mathematics

Jacobi Integral, Planetary Gravitation, Solar Orbits, Solar System, Three Body Problem, Angular Velocity, Kepler Laws, Kinetic Energy, Planetary Mass

Scientific paper

The Jacobian integral of the circular restricted three-body problem is used to establish a testing function of a moving testing particle when it moves like a planet. This function determines whether or not the particle will stay in a definite region, which may be called a 'stable region', (SR). By means of checking with an electronic computer, it can be found that the SR of quasi-circular orbit of retrograde planet motion is much less than the SR of direct planet motion. It is the reason why the existence of a retrograde planet is very rare.

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