Structuring of the Semi-Major Axis and Eccentricity Distributions of Exoplanets

Details Structuring of the Semi-Major Axis and Eccentricity Distributions of Exoplanets Structuring of the Semi-Major Axis and Eccentricity Distributions of Exoplanets

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aspc..321..355n&link_type=abstract

Extrasolar Planets: Today and Tomorrow, ASP Conference Proceedings, Vol. 321, held 30 June - 4 July 2003, Institut D'Astrophysiq

Mathematics

Probability

1

Scientific paper

We describe the motion of planetesimals in a protoplanetary nebula in terms of a fractal and irreversible process. As a consequence the equation of dynamics can be given a Schrödinger-like form. Its solutions yield a planetesimal distribution showing peaks of probability for semi-major axes normalized to star mass a/M ∝ n2 and eccentricities e=k/n, where k and n are integers. The current observational data on exoplanets support this theoretical prediction (done before their discovery).

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