Geometry of Stable Capture Zones for Planet Earth and Implications for Estimating the Probability of Stable Gravitational Capture of Planetoids from Heliocentric Orbit

Details Geometry of Stable Capture Zones for Planet Earth and Implications for Estimating the Probability of Stable Gravitational Capture of Planetoids from Heliocentric Orbit Geometry of Stable Capture Zones for Planet Earth and Implications for Estimating the Probability of Stable Gravitational Capture of Planetoids from Heliocentric Orbit

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996lpi....27..799m&link_type=abstract

Lunar and Planetary Science, volume 27, page 799

Mathematics

Probability

Calculations: Three-Body, Captures: Planetoid, Moon: Origin, Systems: Earth-Moon, Zones: Stable Capture

Scientific paper

Mapping of two-dimensional, coplanar parameter space in the region of the earth's orbit has led to the identification of two retrograde (clockwise motion) and two prograde (counterclockwise motion) zones for stable capture orientations. The parameters mapped are planet anomaly (position of the planet at the beginning of the encounter simulation) and orbital eccentricity of the planetoid (relative to a circular orbit for the planet). A Stable Capture Zone can be defined as a region of parameter space in which the orbital orientation at the time of the close encounter (a putative capture encounter) is favorable for long-term, post-capture orbital stability. The other major requirement for stable gravitational capture is that sufficient energy is dissipated by tidal action within the interacting bodies during the time of the close encounter. An estimate of the probability of capture for any given value of planetoid eccentricity for coplanar encounters can be obtained by measuring the line intercept length of planet anomaly within the Stable Capture Zone relative to the full orbit.

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