Abstract

Two algorithms for reconstructing the distribution of accretion spots over the surface of white dwarfs in AM Her variables are described. Both algorithms suggest the use of photopolarimetric observations. In the first case, the assumption that the spots are geometrically thin is used, while the white dwarf magnetic dipole orientation and the accretion spot position are found by fitting the observational data. In the second case, the continuous brightness distribution over the stellar surface is searched for by the Tikhonov regularization method. Accretion spot mapping simulations have been performed by both algorithms with a demonstration of their promise for studying AM Her stars.

中文翻译：

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她的系统中白矮星的映射

摘要

描述了两种用于重建AM Her变量中白矮星表面积聚点分布的算法。两种算法都建议使用光偏振观测。在第一种情况下，使用了斑点在几何上较薄的假设，而白矮星的磁偶极子方向和积聚斑点的位置则通过拟合观测数据来找到。在第二种情况下，通过Tikhonov正则化方法搜索恒星表面的连续亮度分布。两种算法均进行了吸积点映射模拟，并证明了它们对研究AM Her恒星的希望。