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低黏滞盘中的气体再分布与卫星存活

Satellite Survival through Gas Redistribution in a Low-viscosity Disk

Ignacio Mosqueira

arXiv 2609.23965首次发表:更新:

发表机构

San José State University(圣何塞州立大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究通过低黏滞环行星盘模型,发现气体再分布可使卫星迁移停滞于约15倍木星半径处,从而存活,并揭示了局域角动量沉积对振荡的抑制作用。

AI 中文摘要

我们研究了在无量纲黏滞参数 $\alpha \sim 10^{-6}$ 的低黏滞致密环行星盘中,卫星通过气体再分布而存活的机制。该模型结合了模态林德布拉德激发、依赖于发射位置的激波沉积、三维效应,以及一种保守的、瞬时的瑞利调整机制,用以防止尖锐的气体密度梯度。一个孤立的木卫三质量卫星会耗尽轨道外侧的气体并发生迁移停滞,即使在存在经标定的三维林德布拉德力矩的情况下也是如此。这一行为与拉菲科夫停滞判据的非反馈分支一致。当卫星轨道外侧的气体耗尽使外力矩减少到足以平衡未耗尽的内盘力矩时,向内迁移在约15个木星半径($R_J$)处停滞,即使我们采用一种输运方案在达到瑞利临界性之前就平滑掉密度梯度也是如此。同样,两个木卫四质量的卫星会形成一个扩展的耗尽区域(或间隙),并在后期近距离遭遇之前以近乎稳定的轨道停滞。然而,卫星偏心率对盘的自洽响应仍有待建模。最后,对单个木卫四质量卫星使用相同初始盘的模拟,添加了一个指定的解析来源,即由浮力力矩引起的非饱和局域角动量沉积。通过移除卫星位置处的气体堆积,这种局域沉积减少了由非局域激波沉积引起的后期径向振荡。

英文摘要

We investigate satellite survival through gas redistribution in a dense circumplanetary disk with a low dimensionless viscosity parameter $α\sim 10^{-6}$. The model combines modal Lindblad excitation, launch-dependent shock deposition, 3D effects, and an instantaneous Rayleigh adjustment that conserves angular momentum and suppresses sharp density gradients. An isolated Ganymede-mass satellite depletes the disk outside its orbit and stalls under a calibrated three-dimensional Lindblad torque. This behavior is consistent with the non-feedback branch of Rafikov's stalling criterion. The inward migration stalls near 15 Jupiter radii ($R_J$) when the gas depletion exterior to the satellite's orbit reduces the outer torque by the amount required to balance the torque of the undepleted inner disk, even when we adopt a transport prescription that begins smoothing density gradients halfway to Rayleigh marginality. Likewise, two Callisto masses form an extended depleted region and stall in nearly steady orbits before a late close encounter; however, a self-consistent disk response to satellite eccentricity remains to be modeled. A simulation of a Ganymede-mass satellite adds a specified source of unsaturated local angular momentum deposition by buoyancy torques, reducing the late radial oscillations indirectly caused by non-local shock deposition. Lastly, we redistribute gas while conserving angular momentum to proactively inhibit Rossby-wave unstable pressure bumps at the gap edges. We find that this approach preserves gap clearing and strong migration suppression for Ganymede and the two Callisto masses. In the pressure-adjusted run, the two Callisto masses are captured in a 7:5 resonance and retain eccentricities below 0.06.

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