Serafin, R. A. and Birkenbach, B. (2011). The error ellipsoid in phase space of stellar encounters and its evolution in time. Astro. Nachr., 332 (8). S. 831 - 841. MALDEN: WILEY-BLACKWELL. ISSN 0004-6337

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Abstract

We systematically investigate stellar encounters in their six-dimensional phase space, including also the error ellipsoid and its evolution in time. It allows to give not only a mathematical model of stellar encounters but also an error model for this process. On that occasion we derive fundamental formulae for the positional error in R(n): the probability of a position X falling into the error ellipsoid, the standard deviation in an arbitrary direction, and we briefly discuss the mean positional error in R(n). The case of the close encounter of the star GL 710 (HIP 89825) is an illuminating example of applying the derived results. Moreover, we show that the error ellipsoid can also be successfully applied to approximate the confidence region. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Serafin, R. A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Birkenbach, B.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-487636
DOI: 10.1002/asna.201011581
Journal or Publication Title: Astro. Nachr.
Volume: 332
Number: 8
Page Range: S. 831 - 841
Date: 2011
Publisher: WILEY-BLACKWELL
Place of Publication: MALDEN
ISSN: 0004-6337
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Astronomy & AstrophysicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/48763

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