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• W3100453103 abstract "Starting with just the assumption of uniformly distributed orbital orientations, we derive expressions for the distributions of the Keplerian orbital elements as functions of arbitrary distributions of eccentricity and semi-major axis. We present methods for finding the probability density functions of the true anomaly, eccentric anomaly, orbital radius, and other parameters used in describing direct planetary observations. We also demonstrate the independence of the distribution of phase angle, which is highly significant in the study of direct searches, and present examples validating the derived expressions." @default.
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• W3100453103 date "2011-01-20" @default.
• W3100453103 modified "2023-10-04" @default.
• W3100453103 title "PARAMETER DISTRIBUTIONS OF KEPLERIAN ORBITS" @default.
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• W3100453103 doi "https://doi.org/10.1088/0004-637x/728/1/66" @default.
• W3100453103 hasPublicationYear "2011" @default.
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