The authors derive, for the first time, Bošković's spherical trigonometric equations for solar rotation elements and confirm them against his 1777 sunspot data.
Solar rotation elements $i, \Omega$ and period determined using sunspot observations by Ru{\dj}er Bo\v{s}kovi\'c in 1777
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abstract
Ru{\dj}er Bo\v{s}kovi\'c developed methods for determination of solar rotation elements: the solar equator inclination i, the longitude of the node {\Omega} and the period of solar rotation. In his last work Opera pertinentia ad opticam et astronomiam, published in 1785, in the chapter Opuscule II he described his methods, the formulae with figure descriptions and an example for calculation of the solar rotation elements with detailed numerical explanation using his own observations performed in September 1777. The original numerical procedure was performed using logarithmic formulae. In present work we give a description of the original results of R. Bo\v{s}kovi\'c and compare them with our recalculated values.
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Bo\v{s}kovi\'{c}'s Spherical Trigonometric Solution for Determining the Axis and Rate of Solar Rotation by Observing Sunspots in 1777
The authors derive, for the first time, Bošković's spherical trigonometric equations for solar rotation elements and confirm them against his 1777 sunspot data.