Left: a subset of randomly selected orbits for each planet that are within 3σ of the best fit solution. Crossing orbits are still allowed by the data, while stability requirements would suggest that such orbits are unlikely to be the true orbits of the planets. Right: a subset of randomly selected orbits where the Hill radius of the planet does not come within the Hill radius of any other planets. The distribution of orbital parameters for these “non-crossing” orbits are shown in Figure 9.