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The Lunar Theories of Tycho Brahe and Christian Longomontanus in the Progymnasmata and Astronomia Danica

Swerdlow, N.M. (2009) The Lunar Theories of Tycho Brahe and Christian Longomontanus in the Progymnasmata and Astronomia Danica. Annals of Science, 66 (1). pp. 5-58. ISSN 0003-3790. http://resolver.caltech.edu/CaltechAUTHORS:20090424-134437639

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Abstract

Tycho Brahe’s lunar theory, mostly the work of his assistant Christian Longomontanus, published in the Progymnasmata (1602), was the most advanced and accurate lunar theory yet developed. Its principal innovations are: the introduction of equant motion for the first inequality in order to separate the determination of direction and distance; a more accurate limit for the second inequality although requiring a more complex calculation; additional inequalities of the variation and, in place of the annual inequality in Tycho’s earlier theory, a reduction in the equation of time; in the latitude theory a variation of the inclination of the orbital plane and an inequality of the motion of the nodes; a reduction in the range of variation of distance, parallax, and apparent diameter. Some of these were already present in Tycho’s earlier lunar theory (1599), but all were changed in notable ways. Twenty years later Longomontanus published a modified version of the lunar theory in Astronomia Danica (1622), for the purpose of facilitating the calculation through new correction tables, and also explained his reasons for parts of the theory in the Progymnasmata. This paper is a technical study of both lunar theories.


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http://dx.doi.org/10.1080/00033790802364429DOIUNSPECIFIED
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Additional Information:Received 3 March 2008, Revised paper accepted 28 July 2008. 2009 Taylor & Francis.
Issue or Number:1
Record Number:CaltechAUTHORS:20090424-134437639
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20090424-134437639
Official Citation:Swerdlow, N. M.(2009)'The Lunar Theories of Tycho Brahe and Christian Longomontanus in the Progymnasmata and Astronomia Danica',Annals of Science,66:1,5 — 58. DOI: 10.1080/00033790802364429
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14072
Collection:CaltechAUTHORS
Deposited By: Lindsay Cleary
Deposited On:24 Apr 2009 22:20
Last Modified:26 Dec 2012 10:58

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