Resumo:
Large The Influence of Planet Nine on the TNOs Orbits Abstract The hypothesis about the existence of an additional planet residing in the external solar system was recently proposed to explain the orbital confinements observed on distant trans-Neptunian objects. The parameters that have been suggested for the perturber, known as Planet 9, are: semimajor axis between 500 and 1000 au, distances to perihelion between 200 and 400 au, inclination of $\sim30^\circ$ relative to the ecliptic, for masses between 10 and 20 M$_{\oplus}$ \citep{2016Brown}. In this work, we study the possibility that smaller perihelion distances to the additional planet may lead to orbital confinements as observed in the population of objects with semimajor axes beyond 250 au and perihelion distances greater than 40 au. We performed three suites of numerical integrations for the solar system age: 1) simulations with Planet 9 with semimajor axis at 700 au or 1500 au, known giant planets in their current configurations and scattered particles, 2) simulations with Planet 9 with semimajor axis beyond 1500 au, known giant planets in their current configurations and particles close to Neptune and, 3) simulation with Planet 9 with semimajor axis beyond 1500 au, residual migration of Neptune and Uranus and particles close to Neptune. The results were compared with the population observed through a statistical analysis. Our investigations have shown that a Planet 9 with a semimajor axis at 700 au or 1500 au and small perihelion distances ($\sim90$ au) usually lead to more substantial confinements, while retaining the Classic Kuiper Belt and the ratio of the number of detached to scattered objects in the range of semimajor axes from 100 to 200 au. In the wide-orbit scenarios of Planet 9 (cases 2 and 3), despite the planet' perihelion distance reaches low values close to 4.5 Gyr integration time, angular confinements are not well reproduced. This could be due to the initial conditions assumed for the particles. Numerical simulations initially considering extended particle orbits need to be performed to verify this premise, allowing conclusions to be drawn about permissible wide orbits of Planet 9 as well as the surroundings in which it acquired its inferred orbit.