冥族小天体摄动的半解析环弧模型
A semi-analytical Ring-Arc model for Plutino perturbations
浏览论文内容
中文总结 AI 辅助
本文提出一种半解析环弧模型，以引力势高效模拟冥族小天体对行星轨道的摄动，在50年内与9000质点模型误差小于4%，显著提升计算效率。
中文摘要 AI 辅助
海王星的2:3平均运动共振导致冥族小天体（Plutinos）的空间分布不对称。我们先前提出了一个由9000个质点构成的弧段模型，该模型成功地捕捉了由此产生的对行星历表的影响。然而，对数千个质点进行积分涉及显著的计算成本。在本文中，为了更高效地模拟冥族小天体的总摄动，我们开发了一种由引力势描述的半解析环弧模型。该模型由一个外环和两个内弧组成，代表了冥族小天体的共振空间分布。模型参数源自观测到的冥族小天体和理论采样，从而产生一致的结构。数值模拟表明，在50年内，半解析环弧模型对日海距离和日土距离的摄动与9000质点弧段模型的结果在4%以内一致，同时在与偏差校正后的冥族小天体族群比较时优于简单环模型。我们的半解析方法在显著提高计算效率的同时保留了动力学特征，为历表建模提供了一种最先进的工具。
英文摘要
Neptune's 2:3 mean motion resonance induces an asymmetric spatial distribution of Plutinos. We previously proposed a 9000-point-mass arc model that successfully captures the resulting influence on planetary ephemerides. However, integrating thousands of point masses involves significant computational cost. In this paper, to more efficiently simulate the total perturbation of Plutinos, we develop a semi-analytical Ring-Arc model described by gravitational potentials. This model consists of an outer ring and two inner arcs, representing the resonant spatial distribution of Plutinos. The model parameters are derived from observed Plutinos and theoretical sampling, yielding consistent structures. Numerical simulations show that the perturbations on the Sun-Neptune and Sun-Saturn distances from the semi-analytical Ring-Arc model agree with those from the 9000-point-mass arc model within 4\% over 50 years, while outperforming a simple ring model in comparison with the bias-corrected Plutino population. Our semi-analytical approach preserves the dynamical characteristics while significantly enhancing computational efficiency, offering a state-of-the-art tool for ephemeris modelling.
发表机构
- School of Astronomy and Space Science, Nanjing University（南京大学天文与空间科学学院）
- Key Laboratory of Modern Astronomy and Astrophysics in Ministry of Education, Nanjing University（南京大学现代天文与天体物理教育部重点实验室）
机构由 AI 辅助整理，请以论文原文为准。
