一维视差和日心自行的微透镜质量
Microlens Masses from 1-D Parallaxes and Heliocentric Proper Motions
摘要：
一维（1-D）微透镜的视差可以与日心透镜源相对自行测量相结合，以得出透镜的质量和距离，如Ghosh等人（2004）所建议的。在这里，我提出了这个过程的第一个数学分析，我可以表示为一个二次方程。因此，它在形式上服从双重简并。我表明，这种简并可以打破在许多情况下，使用相对粗糙的2-D视差信息，往往是可用于微透镜事件。我还开发了一个明确的参数空间区域的公式，它是更难打破这种退化。虽然还没有使用这种技术进行质量/距离测量，但它很可能在未来十年内变得非常普遍。
英文摘要：
One-dimensional (1-D) microlens parallaxes can be combined with heliocentric lens-source relative proper motion measurements to derive the lens mass and distance, as suggested by Ghosh et al. (2004). Here I present the first mathematical anlysis of this procedure, which I show can be represented as a quadratic equation. Hence, it is formally subject to a two-fold degeneracy. I show that this degeneracy can be broken in many cases using the relatively crude 2-D parallax information that is often available for microlensing events. I also develop an explicit formula for the region of parameter space where it is more difficult to break this degeneracy. Although no mass/distance measurements have yet been made using this technique, it is likely to become quite common over the next decade.
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