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arXiv 2603.20002astro-ph.EPastro-ph.SR
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三体平均运动共振链作为白矮星污染的输送机制

Three-body Mean Motion Resonance Chains as a Delivery Mechanism for White Dwarf Pollution

American Military University(美国军事大学)

Jeremy Wood Natalie Cummins

AI总结:

研究三体共振链作为白矮星污染的输送机制,分析不同共振链中小行星被送入白矮星洛希极限的概率及动态寿命特征。

摘要:

本文通过四体问题数值积分,研究三体共振链(两颗行星和一颗小行星在最内轨道)作为白矮星污染的可能机制。选择了6:3:2和4:2:1两种三体共振链进行研究。在6:3:2共振中,小行星在动态较冷的初始轨道上,在4:2:1共振中,小行星在动态较热的初始轨道上。小行星被送入白矮星洛希极限的概率最高为1.08%。该概率与内行星质量呈强线性相关,但与外行星质量无关。动态寿命范围从23kyr到1137kyr,对于动态较热的轨道,范围分别为12.9kyr到89.2kyr和10.8kyr到793.4kyr。动态寿命与外行星质量呈指数负相关,通常与内行星质量相关,除了一个例外。动态较热的4:2:1共振比动态较热的6:3:2共振输送更多小行星。动态较热的6:3:2共振比动态较冷的6:3:2共振输送更多小行星。白矮星的典型吸积率10^8克/秒可通过每13.8百万年吸积一个模拟小行星的质量来解释。

英文摘要:

In this work, we used numerical integration of the 4-body problem to study 3-body resonance chains (two planets and an asteroid in the innermost orbit) as a possible mechanism for white dwarf pollution. Two 3-body resonance chains were selected for study: the 6:3:2 and the 4:2:1. Asteroids in both a dynamically colder initial orbit in the 6:3:2 resonance and hotter initial orbits in both resonances were studied. An asteroid had up to a 1.08% chance of being delivered to the stellar Roche Limit of the white dwarf. This probability was strongly linearly correlated with the mass of the inner planet but was not correlated with the mass of the outer planet for both colder and hotter orbits. Average dynamical lifetimes ranged from 23 kyr to 1137 kyr for the dynamically colder orbit and from 12.9 kyr to 89.2 kyr and 10.8 kyr to 793.4 kyr for the dynamically hotter orbits in the 6:3:2 and 4:2:1 resonances, respectively. Average dynamical lifetime was exponentially anticorrelated with the outer planet mass and usually with the inner planet mass except in one case. The hotter 4:2:1 resonance delivered 1.1 times more asteroids to the stellar Roche Limit than the hotter 6:3:2 resonance. The hotter 6:3:2 resonance delivered 1.2 times more asteroids to the stellar Roche Limit than the colder 6:3:2 resonance. A typical accretion rate for a white dwarf star of 10^8 grams s^-1 could be explained by the accretion of an equivalent mass of one of our simulated asteroids every 13.8 Myr.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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