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Simplified Solution to Determination of a Binary Orbit
Author(s) -
Hideki Asada,
Tomofumi Akasaka,
Kazuhiro Kudoh
Publication year - 2007
Publication title -
the astronomical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.61
H-Index - 271
eISSN - 1538-3881
pISSN - 0004-6256
DOI - 10.1086/511187
Subject(s) - binary number , orbit (dynamics) , orbit determination , exact solutions in general relativity , observational study , elementary function , iterative method , mathematics , binary data , physics , mathematical analysis , algorithm , astronomy , satellite , statistics , aerospace engineering , engineering , arithmetic
We present a simplified solution to orbit determination of a binary systemfrom astrometric observations. An exact solution was found by Asada, Akasakaand Kasai by assuming no observational errors. We extend the solutionconsidering observational data. The generalized solution is expressed in termsof elementary functions, and therefore requires neither iterative nor numericalmethods.Comment: 15 pages; text improved, Accepted for publication in the Astronomical Journa

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