Spherical Trigonometry of the Projected Baseline Angle
The basic vector geometry of a stellar interferometer with two telescopes is defined by the right triangle of (i) the baseline vector between the telescopes, of (ii) the delay vector which points to the star, and of (iii) the projected baseline vector in the plane of the wavefront of the stellar lig...
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Format: | Article |
Language: | English |
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Astronomical Observatory, Department of Astronomy, Belgrade
2008-12-01
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Series: | Serbian Astronomical Journal |
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Online Access: | http://saj.matf.bg.ac.rs/177/pdf/115-124.pdf |
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author | Mathar, R. J. |
author_facet | Mathar, R. J. |
author_sort | Mathar, R. J. |
collection | DOAJ |
description | The basic vector geometry of a stellar interferometer with two telescopes is defined by the right triangle of (i) the baseline vector between the telescopes, of (ii) the delay vector which points to the star, and of (iii) the projected baseline vector in the plane of the wavefront of the stellar light. The plane of this triangle intersects the celestial sphere at the position of the star; the intersection is a circular line segment. The interferometric angular resolution is high (diffraction limited to the ratio of the wavelength over the projected baseline length) in the two directions along thisline segment, and low (diffraction limited to the ratio of thewavelength over the telescope diameter) perpendicular to these. Theposition angle of these characteristic directions in the sky iscalculated here, given either local horizontal coordinates, orcelestial equatorial coordinates. |
first_indexed | 2024-04-13T10:16:52Z |
format | Article |
id | doaj.art-db77729998f948feba289e3e1380502e |
institution | Directory Open Access Journal |
issn | 1450-698X |
language | English |
last_indexed | 2024-04-13T10:16:52Z |
publishDate | 2008-12-01 |
publisher | Astronomical Observatory, Department of Astronomy, Belgrade |
record_format | Article |
series | Serbian Astronomical Journal |
spelling | doaj.art-db77729998f948feba289e3e1380502e2022-12-22T02:50:41ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X2008-12-01177115124Spherical Trigonometry of the Projected Baseline AngleMathar, R. J.The basic vector geometry of a stellar interferometer with two telescopes is defined by the right triangle of (i) the baseline vector between the telescopes, of (ii) the delay vector which points to the star, and of (iii) the projected baseline vector in the plane of the wavefront of the stellar light. The plane of this triangle intersects the celestial sphere at the position of the star; the intersection is a circular line segment. The interferometric angular resolution is high (diffraction limited to the ratio of the wavelength over the projected baseline length) in the two directions along thisline segment, and low (diffraction limited to the ratio of thewavelength over the telescope diameter) perpendicular to these. Theposition angle of these characteristic directions in the sky iscalculated here, given either local horizontal coordinates, orcelestial equatorial coordinates.http://saj.matf.bg.ac.rs/177/pdf/115-124.pdfMethods: analyticalTechniques: interferometricReference systems |
spellingShingle | Mathar, R. J. Spherical Trigonometry of the Projected Baseline Angle Serbian Astronomical Journal Methods: analytical Techniques: interferometric Reference systems |
title | Spherical Trigonometry of the Projected Baseline Angle |
title_full | Spherical Trigonometry of the Projected Baseline Angle |
title_fullStr | Spherical Trigonometry of the Projected Baseline Angle |
title_full_unstemmed | Spherical Trigonometry of the Projected Baseline Angle |
title_short | Spherical Trigonometry of the Projected Baseline Angle |
title_sort | spherical trigonometry of the projected baseline angle |
topic | Methods: analytical Techniques: interferometric Reference systems |
url | http://saj.matf.bg.ac.rs/177/pdf/115-124.pdf |
work_keys_str_mv | AT matharrj sphericaltrigonometryoftheprojectedbaselineangle |