On the global stability of single-planet systems

Details On the global stability of single-planet systems On the global stability of single-planet systems

Oct 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007an....328..781s&link_type=abstract

Astronomische Nachrichten, Vol.328, Issue 8, p.781

Mathematics

Probability

4

Celestial Mechanics, Stellar Dynamics, Methods: Data Analysis, Methods: Numerical, Planetary Systems

Scientific paper

In this paper, we estimate the global stability properties of single-planet systems by using a catalogue of stability maps. The data of the catalogue were used to generate probability values on the mass parameter-eccentricity plane for the occurrence of stable orbits. We showed that the probability data can be well approximated by a second order surface. Using the resulted formula the likelihood of finding Earth-like planets in single-planet systems can be easily estimated. As an example, we derived estimations for four known exoplanetary systems. Our formula can be useful in selecting target stars for future space missions.

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