{"title":"Optimal orbital elements of binary stars based on flower pollination algorithm","authors":"Mohamed Abdel-Basset, I. El-Henawy, Nabil Diab","doi":"10.1504/IJMMNO.2019.096920","DOIUrl":null,"url":null,"abstract":"In the field of eclipsing binary stars, the relative coordinate positions of each star with respect to the other stars in the system are adapted. Therefore the orbital parameters of the system will be adapted by the criterion of dynamical and physical (photometric) properties. Orbital elements have been determined for binaries from a combination of velocities in the literature. The formulas that are obtained for computing the orbital elements are determined from the directions of the bases of space data. So the present work is a new presented method for the determination of optimal orbital elements of binary stars based on flower pollination algorithm. The proposed algorithm seek to solve the problem of detecting global minimisers as a function instead of problem of finding periodic orbits, to get a best fit of Keplerian and phase curves. The experimental results implemented on star η Bootis of MK type G0 IV. Demonstrate that the flower pollination algorithm (FPA) reaches good results compared to the results of the standard particle swarm optimisation and other optimisation algorithms.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":"270 1","pages":"56-69"},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Model. Numer. Optimisation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJMMNO.2019.096920","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In the field of eclipsing binary stars, the relative coordinate positions of each star with respect to the other stars in the system are adapted. Therefore the orbital parameters of the system will be adapted by the criterion of dynamical and physical (photometric) properties. Orbital elements have been determined for binaries from a combination of velocities in the literature. The formulas that are obtained for computing the orbital elements are determined from the directions of the bases of space data. So the present work is a new presented method for the determination of optimal orbital elements of binary stars based on flower pollination algorithm. The proposed algorithm seek to solve the problem of detecting global minimisers as a function instead of problem of finding periodic orbits, to get a best fit of Keplerian and phase curves. The experimental results implemented on star η Bootis of MK type G0 IV. Demonstrate that the flower pollination algorithm (FPA) reaches good results compared to the results of the standard particle swarm optimisation and other optimisation algorithms.
在双星食场中,每颗星相对于系统中其他恒星的相对坐标位置进行了调整。因此,系统的轨道参数将根据动力学和物理(光度)性质进行调整。在文献中,双星的轨道元是由速度组合确定的。计算轨道元的公式是根据空间数据基底的方向确定的。本文提出了一种基于花授粉算法确定双星最优轨道元的新方法。提出的算法寻求解决作为一个函数来检测全局最小值的问题,而不是寻找周期轨道的问题,以获得开普勒曲线和相位曲线的最佳拟合。在MK型G0 IV型star η Bootis上进行的实验结果表明,与标准粒子群优化算法和其他优化算法相比,FPA算法取得了较好的效果。