Binaries play a critical role in the formation, evolution, and fundamental properties of planets, stars, and stellar associations. Observational studies in these areas often include a mix of observations aimed at detecting or ruling out the presence of stellar companions. Rarely can nondetections rule out all possible binary configurations. Here we present MOLUSC, our framework for constraining the range of properties of unseen companions using astrometric, imaging, and velocity information. We showcase the use of MOLUSC on a number of systems, ruling out stellar false positives in the signals of HIP 67522b and DS Tuc Ab. We also demonstrate how MOLUSC could be used to predict the number of missing companions in a stellar sample using the ZEIT sample of young planet hosts. Although our results are not significant, with a larger sample, MOLUSC could be used to see if close-in planets are less common in young binary systems, as is seen for their older counterparts.

双星在行星、恒星和恒星协会的形成、演化和基本特性中起着关键作用。这些领域的观测研究通常包括旨在检测或排除恒星伴星存在的多种观测。很少有未检测可以排除所有可能的二进制配置。在这里，我们展示了 MOLUSC，这是我们使用天体测量、成像和速度信息来限制看不见的同伴的属性范围的框架。我们展示了 MOLUSC 在许多系统上的使用，排除了 HIP 67522b 和 DS Tuc Ab 信号中的恒星误报。我们还演示了如何使用 MOLUSC 使用年轻行星宿主的 ZEIT 样本来预测恒星样本中失踪伴星的数量。虽然我们的结果并不显着，但在更大的样本中，