Regarding how Tycho Brahe noted the absurdity of the Copernican Theory regarding the Bigness of Stars, while the Copernicans appealed to God to answer that absurdity
Christopher M. Graney

TL;DR
This paper examines Tycho Brahe's observations of celestial bodies, highlighting his critique of the Copernican model's implication of absurdly large stars and contrasting it with Copernican responses invoking divine power.
Contribution
It provides a detailed analysis of Tycho Brahe's measurements and arguments against the Copernican view of star sizes, illustrating historical scientific debates.
Findings
Tycho's measurements showed comparable sizes of Sun, Moon, and stars in geocentric model.
Copernicans argued star sizes were divine insignificance, which Tycho rejected.
The paper illustrates the scientific and theological debates of the era.
Abstract
Tycho Brahe, the most prominent and accomplished astronomer of his era, made measurements of the apparent sizes of the Sun, Moon, stars, and planets. From these he showed that within a geocentric cosmos these bodies were of comparable sizes, with the Sun being the largest body and the Moon the smallest. He further showed that within a heliocentric cosmos, the stars had to be absurdly large - with the smallest star dwarfing even the Sun. (The results of Tycho's calculations are illustrated in this paper.) Various Copernicans responded to this issue of observation and geometry by appealing to the power of God: They argued that giant stars were not absurd because even such giant objects were nothing compared to an infinite God, and that in fact the Copernican stars pointed out the power of God to humankind. Tycho rejected this argument.
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Taxonomy
TopicsHistorical Astronomy and Related Studies · History and Developments in Astronomy
