# HydroSyMBA: a 1D hydrocode coupled with an N-body symplectic integrator

## TL;DR

HydroSyMBA is a novel numerical model that combines a 1D hydrocode with an N-body integrator to simulate the co-evolution of circumplanetary disks and satellites, enabling detailed studies of satellite formation and orbital dynamics.

## Contribution

It introduces a self-consistent framework integrating a hydrocode with an N-body integrator, including features like moonlet spawning and tidal effects, for modeling satellite-disk systems.

## Key findings

- Accurately models the evolution of circumplanetary disks and satellite formation.
- Incorporates resonant torques and tidal dissipation effects.
- Enables simulation of diverse planetary systems and satellite origins.

## Abstract

The numerical modeling of co-existing circumplanetary disks/rings and satellites is particularly challenging because each part of the system requires a very different approach. Disks are generally well represented by a fluid-like dense medium, whose evolution can be calculated by a hydrocode. On the other hand, the orbital evolution of satellites is generally performed using N-body integrators. We have developed a new numerical model that combines a 1-dimensional hydrocode with the N-body integrator SyMBA. The disk evolves due to its viscosity, and resonant torques from satellites. The latter is applied to the satellites as an additional "kick" to their accelerations. The integrator also includes the ability to spawn new moonlets at the disk's outer edge if the latter expands beyond a material-dependent Roche limit, as well as the effects of tidal dissipation in the planet and/or the satellite on the satellite orbits. The resulting integrator allows one to accurately model the evolution of an inner circumplanetary disk, and the formation of satellites by accumulation of disk material, all within a single self-consistent framework. Potential applications include the formation of Earth's Moon, the evolution of the inner Saturn system, the martian and uranian moons, and compact exoplanetary systems.