Iterative Algorithm for the Effects of Atmospheric Refraction on the Equatorial Coordinates of a Star Valid for any Zenith Distance

Abstract

In the present paper an efficient algorithm will be established for the effects of atmospheric  refraction on the equatorial coordinates  of a star valid  for any zenith distance The algorithm uses two new iterative schemes, the first is linear iterative scheme for the equatorial coordinates  due to atmospheric refraction. The second  is  the quadratic Newton iterative scheme for obtaining the true zenith distance from  Bennent formulae for the atmospheric refraction. Description of the  algorithm was also given together with  numerical applications.