Abstract Various compact dark matter objects (CDOs) were discussed in the literature. Typically parameters of CDOs, such as the mass and the distance, were evaluated by using the gravitational microlensing effect. However, this method has limitations. We propose an alternative method for detecting and measuring parameters of CDOs. It is based on the scenario where there is a star having one planet, such that the orbital plane of the planet does not contain the star. This indicates the presence of a gravitating object located far away at the axis directed from the star to the planetary orbital plane. If in this direction there is no visible star, this could mean that the distant gravitating object is a CDO. We derived analytical expressions for determining the unknown mass of the CDO and its unknown distance from the star based on the parameters of the planetary orbit. We believe that this method could help obtaining additional observational data on the CDOs in particular and therefore on dark matter in general.

中文翻译：

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检测和测量作为二元系统组成部分的致密暗物质物体参数的替代方法

摘要 文献中讨论了各种致密暗物质物体 (CDO)。CDO 的典型参数，例如质量和距离，是通过使用引力微透镜效应来评估的。但是，这种方法有局限性。我们提出了一种检测和测量 CDO 参数的替代方法。它基于有一颗恒星有一颗行星的场景，因此行星的轨道平面不包含该恒星。这表明存在一个位于远离恒星和行星轨道平面的轴上的引力物体。如果在这个方向上没有可见的恒星，这可能意味着遥远的引力物体是一个 CDO。我们根据行星轨道的参数推导出了用于确定 CDO 的未知质量及其与恒星的未知距离的解析表达式。我们相信，这种方法可以帮助获得更多关于 CDO 的观测数据，因此也有助于获得关于暗物质的更多观测数据。