Computational developments for distance determination of stellar groups |
| |
Authors: | M A Sharaf A M Sendi |
| |
Institution: | (1) Department of Astronomy, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia;(2) Department of Mathematics, Girls College of Education, Jeddah, Saudi Arabia |
| |
Abstract: | In this paper, we consider a statistical method for distance determination of stellar groups. The method depends on the assumption
that the members of the group scatter around a mean absolute magnitude in Gaussian distribution. The mean apparent magnitude
of the members is then expressed by frequency function, so as to correct for observational incompleteness at the faint end.
The problem reduces to the solution of a highly transcendental equation for a given magnitude parameter α. For the computational developments of the problem, continued fraction by the Top-Down algorithm was developed and applied
for the evaluation of the error function erf(z). The distance equation Λ(y) = 0 was solved by an iterative method of second order of convergence using homotopy continuation technique. This technique
does not need any prior knowledge of the initial guess, a property which avoids the critical situations between divergent
and very slow convergent solutions, that may exist in the applications of other iterative methods depending on initial guess. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|