Tychonis Brahe Astronomiæ instauratæ mechanica

Brahe, Tycho

doi:10.5479/sil.77076.39088002053528

Cited by 34 publications

(24 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Even though a major improvement on earlier work, the star catalogue produced by Tycho Brahe (1598Brahe ( , 1602, and re-edited by Kepler (1627), contains occasional large errors. Johannes Hevelius decided to produce a better and larger catalogue, which was printed after his death by his wife and collaborator Elisabeth Koopman (Hevelius 1690).…”

Section: Introductionmentioning

confidence: 99%

The star catalogue of Hevelius

Verbunt

Gent

2010

A&A

View full text Add to dashboard Cite

The catalogue by Johannes Hevelius with the positions and magnitudes of 1564 entries was published by his wife Elisabeth Koopman in 1690. We provide a machine-readable version of the catalogue, and briefly discuss its accuracy on the basis of comparison with data from the modern Hipparcos Catalogue. We compare our results with an earlier analysis by Rybka (1984), finding good overall agreement. The magnitudes given by Hevelius correlate well with modern values. The accuracy of his position measurements is similar to that of Brahe, with σ = 2 for longitudes and latitudes, but with more errors >5 than expected for a Gaussian distribution. The position accuracy decreases slowly with magnitude. The fraction of stars with position errors larger than a degree is 1.5%, rather smaller than the fraction of 5% in the star catalogue of Brahe.

show abstract

Section: Introductionmentioning

confidence: 99%

The star catalogue of Hevelius

Verbunt

Gent

2010

A&A

View full text Add to dashboard Cite

show abstract

“…Every degree is divided into 6 parts on a transversal line. This transversal line for scale is used on instruments made by Tycho Brahe in Europe (Brahe 1602;Chapman 1989) and then was brought into China by Catholic missionaries in the period from the late Ming to the early Qing. Jacques Rho (羅雅谷, 1593-1638) and Johann Adam Schall von Bell (湯若望, 1591-1666) in the Celiang quanyi (測量全義, Complete Definition of Measurements) had introduced this nonius scale and applied it to the 1/10 degree scale of many instruments installed on the Beijing Old Astronomical Observatory (古觀象臺) (Zhang 2000).…”

Section: Division Of a Graduationmentioning

confidence: 99%

Astronomical Instruments with Two Scales Drawn on Their Common Circumference of Rings in the Joseon Dynasty

Mihn¹,

Go-Eun²,

Lee³

2017

Journal of Astronomy and Space Sciences

View full text Add to dashboard Cite

This study examines the scale unique instruments used for astronomical observation during the Joseon dynasty. The Small Simplified Armillary Sphere (小簡儀, So-ganui) and the Sun-and-Stars Time-Determining Instrument (日星定時儀, Ilseong-jeongsi-ui) are minimized astronomical instruments, which can be characterized, respectively, as an observational instrument and a clock, and were influenced by the Simplified Armilla (簡儀, Jianyi) of the Yuan dynasty. These two instruments were equipped with several rings, and the rings of one were similar both in size and in scale to those of the other. Using the classic method of drawing the scale on the circumference of a ring, we analyze the scales of the Small Simplified Armillary Sphere and the Sun-and-Stars Time-Determining Instrument. Like the scale feature of the Simplified Armilla, we find that these two instruments selected the specific circumference which can be drawn by two kinds of scales. If Joseon’s astronomical instruments is applied by the dual scale drawing on one circumference, we suggest that 3.14 was used as the ratio of the circumference of circle, not 3 like China, when the ring’s size was calculated in that time. From the size of Hundred-interval disk of the extant Simplified Sundial in Korea, we make a conclusion that the three rings’ diameter of the Sun-and-Stars Time-Determining Instrument described in the Sejiong Sillok (世宗實錄, Veritable Records of the King Sejong) refers to that of the middle circle of every ring, not the outer circle. As analyzing the degree of 28 lunar lodges (lunar mansions) in the equator written by Chiljeongsan-naepyeon (七政算內篇, the Inner Volume of Calculation of the Motions of the Seven Celestial Determinants), we also obtain the result that the scale of the Celestial-circumference-degree in the Small Simplified Armillary Sphere was made with a scale error about 0.1 du in root mean square (RMS).

show abstract

“…Astronomers and mapmakers throughout Europe used handwritten copies of this catalogue. Brahe edited a shorter version, with 777 stars, which was printed in 1602 as part of Astronomiae Instauratae Progymnasmata (Brahe 1602). The full list of 1004 entries with some modifications was published by Johannes Kepler in 1627 as part of the Tabulae Rudolphinae (Kepler 1627).…”

Section: Introductionmentioning

confidence: 99%

“…In describing the different versions of the catalogues we use the following notation: Manuscript refers to the manuscript version (Brahe 1598), Progym refers to the version edited and printed by Brahe (1602), Kepler refers to the version edited by Kepler (1627), and KeplerE to our emended version of the latter catalogue. Individual entries are numbered according to the order in which they appear in the different versions.…”

Section: Introductionmentioning

confidence: 99%

Three editions of the star catalogue of Tycho Brahe

Verbunt¹,

Gent

2010

A&A

View full text Add to dashboard Cite

Tycho Brahe completed his catalogue with the positions and magnitudes of 1004 fixed stars in 1598. This catalogue circulated in manuscript form. Brahe edited a shorter version with 777 stars, printed in 1602, and Kepler edited the full catalogue of 1004 stars, printed in 1627. We provide machine-readable versions of the three versions of the catalogue, describe the differences between them and briefly discuss their accuracy on the basis of comparison with modern data from the Hipparcos Catalogue. We also compare our results with earlier analyses by Dreyer (1916, Tychonis Brahe Dani Scripta Astronomica, Vol. II) and Rawlins (1993, DIO, 3, 1), finding good overall agreement. The magnitudes given by Brahe correlate well with modern values, his longitudes and latitudes have error distributions with widths of 2 , with excess numbers of stars with larger errors (as compared to Gaussian distributions), in particular for the faintest stars. Errors in positions larger than 10 , which comprise about 15% of the entries, are likely due to computing or copying errors.

show abstract

Tychonis Brahe Astronomiæ instauratæ mechanica

Cited by 34 publications

References 0 publications

The star catalogue of Hevelius

The star catalogue of Hevelius

Astronomical Instruments with Two Scales Drawn on Their Common Circumference of Rings in the Joseon Dynasty

Three editions of the star catalogue of Tycho Brahe

Contact Info

Product

Resources

About