A sample of Saturn interior density profiles derived with MCMC and gravity-based likelihood.

We ran a Markov-Chain Monte Carlo algorithm to derive the posterior
distribution of density profiles for Saturn, where the likelihood function
was a chi-squared distributed distance of each curve's gravity
coefficients from the values reported for that planet by the
Cassini radio science team (Iess et al., 2019). The result is a large
sample of interior profiles of Saturn consistent with observation and
minimally constrained by model assumptions. This sample is archived here
in sufficiently raw form to, (a) allow anyone to reproduce or
invalidate our sampling method, and (b) allow additional analysis by
interested researchers to make further inferences based on existing data,
without the need to repeat the computationally difficult MCMC sampling
procedure. A full description of the work behind this dataset can be found
in arxiv https://arxiv.org/abs/1912.02137