摘要：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 perihelion distances, and clusters in the 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 gsim20 Earth masses. We also show that the instability should produce a "perihelion gap" at semimajor axes of hundreds of astronomical units, as the orbits of the remnant population are more likely to have extremely large perihelion distances (${ \mathcal O }(100\,\mathrm{au})$) than intermediate values.
关键词：Celestial mechanics (211);Solar system (1528);Orbits (1184)
