论文标题
部分可观测时空混沌系统的无模型预测
A radial limit on polar circumbinary orbits from general relativity
论文作者
论文摘要
绕过未对准的偏心轨道二元的粒子会在二进制角动量矢量（循环轨道）或固定倾斜度（库轨道）周围经历淋巴结进程。在没有一般相对性的情况下，固定倾斜度倾斜90度，与二元角动量矢量（与二进制偏心量载体对齐），不依赖于粒子的半轴轴。一般相对性会导致二元轨道的Apsidal进动。靠近二进制，粒子的行为没有显着影响，库粒子用二进制进攻。但是，我们发现静态倾斜度和库所需的最小倾斜度都随着粒子半轴轴的增加而增加。有一个临界半径之外，没有库轨道，只有循环轨道，因此固定的极性轨道体有最大的轨道半径。临界半径是在半轴轴<= 1 au周围形成的行星内形成区域。这对寻找未对准的环形行星和极地环形磁盘的径向范围具有影响。
A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either around the binary angular momentum vector (a circulating orbit) or around a stationary inclination (a librating orbit). In the absence of general relativity, the stationary inclination is inclined by 90 degrees to the binary angular momentum vector (aligned with the binary eccentricity vector) and does not depend on the particle semi-major axis. General relativity causes apsidal precession of the binary orbit. Close to the binary, the behaviour of the particle is not significantly affected, a librating particle precesses with the binary. However, we find that the stationary inclination and the minimum inclination required for libration both increase with the particle semi-major axis. There is a critical radius beyond which there are no librating orbits, only circulating orbits, and therefore there is a maximum orbital radius for a stationary polar orbiting body. The critical radius is within planet forming regions around binaries with semi-major axis <= 1 au. This has implications for the search for misaligned circumbinary planets and the radial extent of polar circumbinary disks.
