Enumeration and construction in music theory Publications, to be read Group actions and the functional equation of the mean sun Some applications of functional equations in astronomy

Some applications of functional equations in astronomy

Jointly written with JENS SCHWAIGER. Grazer Mathematische Berichte 344, 1 - 6, 2001.

Abstract: The mean sun is an artificial construction in astronomy which is used to define civil time. It has the property that local mean time, dependent on the geographical position on the earth's surface, behaves regularly, which is not true for the (true) local time, which depends on the real sun. We present a functional equation which reflects this regularity property of the mean sun and show that the solution to this equation essentially is the mean sun. Moreover we discuss the problem of satellite TV.

harald.fripertinger "at" uni-graz.at, October 3, 2024

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