半定规划在Bosscha天文台双星轨道参数确定中的应用前景
Prospects of Application of Semi-Definite Programming to Determine Orbital Parameters of the Binary Systems Observed at Bosscha Observatory
摘要:
大多数轨道确定方法通常难以数值实现,因为它们是在计算机时代之前开发的。半定规划(SDP)是近年来发展起来的一种数学方法,已被应用于包括天体测量在内的许多科学领域。这是一个很好的机会来解决位于南半球的双星系统的轨道,因为七十多年来,Bosscha天文台一直在不断进行观测的双星系统。在这里,我们描述了SDP的应用前景,推导出的双星系统的轨道参数,使用提供的数据Bosscha天文台已发表在中心的Donnees astronomiques de斯特拉斯堡。这项研究将支持Bosscha天文台的观测者为他们正在进行的研究适当地选择属于双星系统的目标星。由于SDP是一种功能强大的方案,可以自由试错和独立于人类的判断,因此我们建议SDP可能成为确定二元系统轨道参数的标准方法。
英文摘要:
Most methods of orbit determination are often difficult for numerical implementations since they are developed before the computer era. The recently developed mathematical technique of semi-definite programming (SDP) has been implemented for many problems in scientific fields including astrometry. This is a good opportunity to resolve orbits of binary systems located in the southern hemisphere since more than seventy years Bosscha Observatory had been continuously conducting observations of binary systems. Here we describe prospects of application of SDP for deriving orbital parameters of binary systems using data supplied by Bosscha Observatory that has been published in the Centre de Donnees astronomiques de Strasbourg. This study will support observers at Bosscha Observatory to appropriately select target stars belong to binary systems for their ongoing researches. Since SDP is a powerful scheme, free trial-and-error and human-independent judgment, we suggest that SDP may become a standard method for determining orbital parameters of binary systems.
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