Linear analysis of the light curves of eclipsing variables. I - Analysis of the fractional loss of light

Details Linear analysis of the light curves of eclipsing variables. I - Analysis of the fractional loss of light Linear analysis of the light curves of eclipsing variables. I - Analysis of the fractional loss of light

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..70...77k&link_type=abstract

Astrophysics and Space Science, vol. 70, no. 1, June 1980, p. 77-101.

Computer Science

Numerical Analysis

3

Eclipsing Binary Stars, Light Curve, Numerical Analysis, Stellar Models, Variable Stars, Algol, Algorithms, Covariance, Data Processing, Digital Computers, Fourier Series, Least Squares Method, Recursive Functions, Variance (Statistics)

Scientific paper

In this paper, general model analysis of the form ~ cjçI1(O) for the fractional loss of light f(O) exhibited by a close binary system will be considered in the sense of the least-squares criterion. A general recursive method will be established for constructing the normal equations for the most useful functions ç6~(O), and an economical storage of the method on a digital computer, with its computational steps, will also be given. Moreover, a full recursive computational algorithm for the least-squares approximation will also be established. By means of this algorithm, all the solution vectors, the variance for different orders of fit and the corresponding variance-covariance matrix could be computed once and for all and, moreover, recursively. The economical storage of the algorithm and its computational steps will be given. Finally, some of the practical difficulties encountered in the application of the least-squares criterion will be analysed, and some techniques for detecting and controlling these difficulties are also given. Numerical examples on the Algol system using a Fourier cosine series of the form ~ C~ cos [(j - 1)irO/~J will be given for illustration

Affiliated with

Also associated with

No associations

Rating

Linear analysis of the light curves of eclipsing variables. I - Analysis of the fractional loss of light does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Linear analysis of the light curves of eclipsing variables. I - Analysis of the fractional loss of light, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear analysis of the light curves of eclipsing variables. I - Analysis of the fractional loss of light will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1214606