海王星主弧Fraternite纵跨的自重模型
The self-gravity model of longitudinal span of Neptune main arc Fraternite
摘要：
根据最近的工作[Tsui PSS \textbf{55}，237-242（2007），\textbf{55}，2042-2044（2007）]，海王星亚当斯环主弧Fraternite被认为是被Galatea的共转椭圆共振（CER）势捕获的。小弧Egalite（2，1）、Liberte和Courage位于海王星中心场下的42-43共转-林德布拉德共振导致的时间平均力消失的位置。通过适当选择Fraternite质量和Galatea偏心率，该模型给出了与观测位置兼容的小弧位置，并允许弧之间的材料动态运输。为了补充该模型，Fraternite的自重效应，与分布质量一起评估CER潜力，以解释其$10^{0}$纵向跨度。虽然自引力是电弧中所有粒子的集体作用，但每个粒子都将具有中心最大值的自势视为由其他粒子产生的外部势。
英文摘要：
According to recent works [Tsui PSS \textbf{55}, 237-242 (2007), \textbf{55}, 2042-2044 (2007)], the Neptune Adams ring main arc Fraternite is regarded as captured by the corotation elliptic resonance (CER) potential of Galatea. The minor arcs Egalite(2,1), Liberte, and Courage are located at positions where the time averaged forces, due to the 42-43 corotation-Lindblad resonances under the central field of Neptune, vanish. With adequately chosen Fraternite mass and Galatea eccentricity, this model gives minor arc locations compatible to observed positions, and allows a dynamic transport of materials among arcs. To complement this model, the effect of self-gravity of Fraternite, with a distributed mass, is evaluated together with the CER potential to account for its $10^{0}$ longitudinal span. Although self-gravity is the collective action of all the particles in the arc, each individual particle will see the self-potential with a central maximum as an external potential generated by other particles.
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