Neptune on tiptoes: dynamical histories that preserve the cold classical Kuiper belt

TL;DR

This paper investigates how Neptune's dynamical history can preserve the cold classical Kuiper belt by analyzing secular excitation regimes through numerical and analytical models.

Contribution

It provides the first detailed parameter study identifying conditions under which Neptune's orbital evolution maintains a cold Kuiper belt.

Findings

High Neptune eccentricity/inclination periods can still preserve the cold belt if limited in duration.

Secular excitation regimes depend on migration, damping timescales, and orbital parameters.

Analytical models explore parameter space for different dynamical histories.

Abstract

The current dynamical structure of the Kuiper belt was shaped by the orbital evolution of the giant planets, especially Neptune, during the era following planet formation, when the giant planets may have undergone planet-planet scattering and/or planetesimal-driven migration. Numerical simulations of this process, while reproducing many properties of the belt, fail to generate the high inclinations and eccentricities observed for some objects while maintaining the observed dynamically "cold" population. We present the first of a three-part parameter study of how different dynamical histories of Neptune sculpt the planetesimal disk. Here we identify which dynamical histories allow an in situ planetesimal disk to remain dynamically cold, becoming today's cold Kuiper belt population. We find that if Neptune undergoes a period of elevated eccentricity and/or inclination, it secularly excites the eccentricities and inclinations of the planetesimal disk. We demonstrate that there are several well-defined regimes for this secular excitation, depending on the relative timescales of Neptune's migration, the damping of Neptune's orbital inclination and/or eccentricity, and the secular evolution of the planetesimals. We model this secular excitation analytically in each regime, allowing for a thorough exploration of parameter space. Neptune's eccentricity and inclination can remain high for a limited amount of time without disrupting the cold classical belt. In the regime of slow damping and slow migration, if Neptune is located (for example) at 20 AU, then its eccentricity must stay below 0.18 and its inclination below 6{\deg}.