论文标题
主库珀带中的跨性别物体的自由倾斜
Free Inclinations for Transneptunian Objects in the Main Kuiper Belt
论文作者
论文摘要
主要经典带区域（轨道半轴轴为39和48 au之间），在跨肽对象（TNO）轨道分布中存在一个复杂的倾斜结构。巨型行星的长期引力效应使TNO轨道序曲，但非谐振物体对于局部强制进攻极保持了几乎恒定的“自由”倾斜度（$ i_ \ text {free} $）。由于该数量分布的可能性可能具有宇宙的重要性，因此我们将所有主带TNO的自由倾斜制成，每个倾斜度都使用Barycentric轨道元件对每个对象的局部强迫杆进行了单独计算。我们表明，最简单的方法基于拉普拉斯 - 拉格朗日世俗理论，无法给出正确的强迫杆，以在$ν_{18} $世俗共振附近的对象，导致保守的$ i_ \ text {free text {free} $值在许多主皮带中。因此，我们取而代之的是平均的哈密顿量，以获取每个TNO的预期节点进动，从而为非共鸣对象产生更准确的自由倾斜。对于绝大多数（96 \％）的经典皮带TNO，这些$ i_ \ text {free} $值在4个GYR数值模拟上保留至$ <1^\ Circ $，证明了在研究TNO人群及其原始倾斜概况方面使用此良好数量的优势；我们的计算分布仅加强了一个非常共同计划的“冷”原始人群的想法，该人口被大型$ i $ width植入的“热”人口覆盖。
There is a complex inclination structure present in the transneptunian object (TNO) orbital distribution in the main classical belt region (between orbital semimajor axes of 39 and 48 au). The long-term gravitational effects of the giant planets make TNO orbits precess, but non-resonant objects maintain a nearly constant 'free' inclination ($I_\text{free}$) with respect to a local forced precession pole. Because of the likely cosmogonic importance of the distribution of this quantity, we tabulate free inclinations for all main-belt TNOs, each individually computed using barycentric orbital elements with respect to each object's local forcing pole. We show that the simplest method, based on the Laplace-Lagrange secular theory, is unable to give correct forcing poles for objects near the $ν_{18}$ secular resonance, resulting in poorly conserved $I_\text{free}$ values in much of the main belt. We thus instead implemented an averaged Hamiltonian to obtain the expected nodal precession for each TNO, yielding significantly more accurate free inclinations for non-resonant objects. For the vast majority (96\%) of classical belt TNOs, these $I_\text{free}$ values are conserved to $<1^\circ$ over 4 Gyr numerical simulations, demonstrating the advantage of using this well-conserved quantity in studies of the TNO population and its primordial inclination profile; our computed distributions only reinforce the idea of a very co-planar surviving 'cold' primordial population, overlain by a large $I$-width implanted 'hot' population.
