New Analytical and Empirical Expressions for the Percentage of the Star's Flux Through TransparentAtmosphere Between Two Wave Lengths

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 2

Abstract

In this paper, new analytical and empirical expressions for the percentage of the star's flux through transparent atmosphere between two wave lengths  are developed. For the analytical developments, literal expression of the percentage, A, of the total emitted flux from a star of temperature T radiates as black body is established in terms of the polyogarithm functions, together with the rate of change of A, with respect to T. For the computational developments, the maximum value of the percentage of the total flux MF in the region was computed togetherwith the corresponding temperature at the maximum percentage flux.The variations of the percentage of the total flux with temperature are displayed graphically for some values of  Linear correlation coefficients between different attributes are also given. Finally, new empiricalrelation was developed between MF and , with complete error estimates These error estimates are ,the variance of the fit ,the variance of the least squares solutions vector, the average square distance between the exact and the least-squares solutions. Allthe precision criteria of this relationare very satisfactory.

Authors and Affiliations

Prof. Mohammed Adel Sharaf, Z. A. Mominkhan

Keywords

Related Articles

Approximation of homomorphisms and derivations of additive functional equation of n-Apollonius type in induced fuzzy Lie C*-Algebras

Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms  and derivations of additive functional equation of n-Apollonius type for afixed positive n with n>=2 on induced fuzzy...

Numerical and analytic method for solvingproposal New Type for fuzzy nonlinear volterra integral equation

In this paper, we proved the existence and uniqueness and convergence of the solution of new type for nonlinear fuzzy volterra integral equation . The homotopy analysis method are proposed to solve the new type fuzzy non...

The role of the martingales in the stochastic models

The stochastic model is one of the most efficient models in the stock price modeling. The martingales have the important role in this the stochastic models.The martingale theory is used for calculating the probability of...

Model Higgs Bundles in Exceptional Components of the Sp(4,R)-Character Variety

We establish a gluing construction for Higgs bundles over a connected sum of Riemann  surfaces in terms of  solutions to the Sp(4,R)-Hitchin equations using the linearization of a relevant elliptic operato...

Some Universal Constructions For I- Fuzzy Topological Spaces

Geetha S. [J. Math. Anal. Appl. 174 (1993), 147-152] has introduced the concept of I-fuzzy topological spaces  X,mu,F)where X is an ordinary set, mu is a fuzzy set in X and F is a family of fuzzy sets in X satisfyin...

Download PDF file
  • EP ID EP651262
  • DOI 10.24297/jam.v4i2.2497
  • Views 183
  • Downloads 0

How To Cite

Prof. Mohammed Adel Sharaf, Z. A. Mominkhan (2013). New Analytical and Empirical Expressions for the Percentage of the Star's Flux Through TransparentAtmosphere Between Two Wave Lengths. JOURNAL OF ADVANCES IN MATHEMATICS, 4(2), 462-468. https://europub.co.uk/articles/-A-651262