论文标题
长期彗星的各向异性用其形成过程解释
Anisotropy of Long-period Comets Explained by Their Formation Process
论文作者
论文摘要
据认为，来自Oort云的长期彗星被认为是在黄道平面上行星区域形成的行星。我们已经研究了由于银河系潮汐而导致的这些物体的轨道演变。我们扩展了Higuchi等。 （2007年），并得出了分析解决方案，以实现Aphelion方向的银河经度和纬度，$ L $和$ b $。使用分析解决方案，我们表明$ l $和$ b $的演变时期的比率非常接近2或$ \ infty $的初始偏心率$ e_i \ simeq 1 $，就像oort云彗星一样。从$ l $和$ b $之间的关系中，我们预测，返回行星区域的Oort Cloud Comets集中在黄道平面和第二架飞机上，我们称之为“空运”。这是在银河杆上旋转的旋转，增加了180美元$^\ circ $。我们的数值集成确认，在分析溶液的推导中忽略了银河潮的径向成分，不足以打破分析性地分析的$ L $和$ b $之间的关系。对观察数据的简要检查表明，黄道和空的黄道附近都有浓度。我们还表明，与以前的解释相比，这两架飞机上的浓度更一致地解释了几位作者提到的长期漫长的彗星的分布异常。
Long-period comets coming from the Oort cloud are thought to be planetesimals formed in the planetary region on the ecliptic plane. We have investigated the orbital evolution of these bodies due to the Galactic tide. We extended Higuchi et al. (2007) and derived the analytical solutions to the Galactic longitude and latitude of the direction of aphelion, $L$ and $B$. Using the analytical solutions, we show that the ratio of the periods of the evolution of $L$ and $B$ is very close to either 2 or $\infty$ for initial eccentricities $e_i\simeq 1$, as is true for the Oort cloud comets. From the relation between $L$ and $B$, we predict that Oort cloud comets returning to the planetary region are concentrated on the ecliptic plane and a second plane, which we call the "empty ecliptic." This consists in a rotation of the ecliptic around the Galactic pole by 180$^\circ$. Our numerical integrations confirm that the radial component of the Galactic tide, which is neglected in the derivation of the analytical solutions, is not strong enough to break the relation between $L$ and $B$ derived analytically. Brief examination of observational data shows that there are concentrations near both the ecliptic and the empty ecliptic. We also show that the anomalies of the distribution of $B$ of long-period comets mentioned by several authors are explained by the concentrations on the two planes more consistently than by previous explanations.
