Abstract

The apparent motion parameter (AMP) method is designed to determine the orbits of wide pairs of double stars with orbital periods of hundreds and thousands of years. This is a dynamical method using all that is known about the star at one moment to reconstruct its complete orbit within the two-body problem. The Gaia DR2 catalog contains all of the data for epoch 2015.5 that are needed to use the AMP method if the relative motion reflects an unperturbed orbital motion. We demonstrate the possibilities of the method to determine the orbits of individual stars. Six stars have been investigated. For the triple star ADS 7034 we have determined the orbit of the inner pair, the set of orbits of the outer pair, and the stability region of the triple system for the first time. Using the double star ADS 9357 as an example, we show that for the determination of the orbits of individual stars the AMP method has an advantage over the geometrical methods using the Thiele–Innes equations on short arcs covered by observations. The orbits with periods more than 1000 years have been determined for the first time for three stars: ADS 7588, ADS 8561, and ADS 9048. For WDS 14051+4913 it is impossible to determine a reliable orbit, a preliminary family of orbits has been obtained, and a companion is suspected. We give a list of problem stars for which the orbits have not been determined, but the presence of a companion is possible.

中文翻译：

---

基于Gaia DR2观测的太阳邻里六颗宽双星的第一个轨道

摘要

视在运动参数（AMP）方法旨在确定宽双星对的轨道，其轨道周期为数百年和数千年。这是一种动态方法，它利用有关恒星的所有已知信息来重构其在双体问题中的完整轨道。Gaia DR2目录包含如果相对运动反映了不受干扰的轨道运动，则使用AMP方法所需的2015.5时期的所有数据。我们演示了确定单个恒星轨道的方法的可能性。已对六颗星进行了调查。对于三星ADS 7034，我们首次确定了内部对的轨道，外部对的轨道组以及三重系统的稳定性区域。以双星ADS 9357为例，我们表明，对于确定单个恒星的轨道，AMP方法比在观测到的短弧上使用Thiele-Innes方程的几何方法具有优势。首次为三颗星确定了周期超过1000年的轨道：ADS 7588，ADS 8561和ADS9048。对于WDS 14051 + 4913，不可能确定可靠的轨道，因此已经确定了一个初步的轨道获得，并且怀疑有同伴。我们给出了问题星的列表，这些星的轨道尚未确定，但有可能伴有同伴。首次为三颗星确定了周期超过1000年的轨道：ADS 7588，ADS 8561和ADS9048。对于WDS 14051 + 4913，不可能确定可靠的轨道，因此已经确定了一个初步的轨道获得，并且怀疑有同伴。我们列出了问题星的清单，这些星的轨道尚未确定，但有可能伴有同伴。首次为三颗星确定了周期超过1000年的轨道：ADS 7588，ADS 8561和ADS9048。对于WDS 14051 + 4913，不可能确定可靠的轨道，因此已经确定了一个初步的轨道获得，并且怀疑有同伴。我们列出了问题星的清单，这些星的轨道尚未确定，但有可能伴有同伴。