This is the bimonthly 'What are you working On?' thread. Previous threads are here. So here's the question:
What are you working on?
Here are some guidelines:
- Focus on projects that you have recently made progress on, not projects that you're thinking about doing but haven't started.
- Why this project and not others? Mention reasons why you're doing the project and/or why others should contribute to your project (if applicable).
- Talk about your goals for the project.
- Any kind of project is fair game: personal improvement, research project, art project, whatever.
- Link to your work if it's linkable.
To the extent that Kepler's laws are exact only for two-body systems of point masses (so I guess calling Kepler's third law the ground truth is a bit problematic) and to the extent that the data are imperfectly observed, there are residuals that over-eager models can try to match.
Edit: More generally, you don't overfit the underlying law, you overfit noisy data generated by the underlying law.
Kepler's law holds well. The influences of other planets are negligible for the precision we dealt with.