Orbital eccentricity in a logarithmic potential

Details Orbital eccentricity in a logarithmic potential Orbital eccentricity in a logarithmic potential

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982aj.....87.1606i&link_type=abstract

Astronomical Journal, vol. 87, Nov. 1982, p. 1606, 1607. Research supported by the Natural Sciences and Engineering Research Cou

Statistics

Computation

3

Eccentric Orbits, Galactic Rotation, Kepler Laws, Logarithms, Orbit Calculation

Scientific paper

The eccentricity of particles moving in a logarithmic potential as compared with their Keplerian analogs, is examined both numerically and analytically. A particle projected with a given velocity at right angles to its radius vector from the center is considered. Equations are given for the Newtonian and the logarithmic case, and estimations agree with numerical orbit computations. It is shown that the orbital pseudo-eccentricity of a particle in motion in a logarithmic potential is near one-half of the Keplerian eccentricity.

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