Axisymmetric disks of high eccentricity, low mass bodies on near-Keplerian orbits are unstable to an out-of-plane buckling. This "inclination instability" exponentially grows the orbital inclinations, raises perihelia distances and clusters in argument of perihelion. Here we examine the instability in a massive primordial scattered disk including the orbit-averaged gravitational influence of the giant planets. We show that differential apsidal precession induced by the giant planets will suppress the inclination instability unless the primordial mass is $\gtrsim 20$ Earth masses. We also show that the instability should produce a "perihelion gap" at semi-major axes of hundreds of AU, as the orbits of the remnant population are more likely to have extremely large perihelion distances ($\mathcal{O}(100~\rm{AU})$) than intermediate values.

中文翻译：

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巨行星对原始散布盘集体引力的影响

近开普勒轨道上的高离心率、低质量体的轴对称圆盘对于平面外屈曲是不稳定的。这种“倾角不稳定性”使轨道倾角呈指数增长，增加了近日点距离和近日点争论中的星团。在这里，我们研究了一个巨大的原始散射盘的不稳定性，包括巨行星的轨道平均引力影响。我们表明，除非原始质量为 $\gtrsim 20 $ 地球质量，否则由巨行星引起的差分进动将抑制倾角不稳定性。我们还表明，不稳定性应该在数百个 AU 的半长轴上产生“近日点间隙”，