Cassini tribute - Jagged shadow artifacts with Cycles

I am making a little Cassini tribute as a long term project, going for realism, but higher dynamic range and a little artistic freedom. Feel free to poke at it and say what your thoughts are on what looks real and not.
But I have a main problem. I have one sun lamp in the scene, with 3 as a strength and angle between 8 - 15. But no matter what I do I get these jaggedy triangle shadows, and I also get them on some of my other scenes. Any ideas how to get rid of them? I also seem to get some fireflies like thing under the rings.


2020-02-27-new_render_v3_artifacts

removed by popular demand

It looks like the terminator bug raytracing render engines suffer from. Unfortunaly you can’t fix it.
As a workaround, you can apply the subsurf modifier to make it look less noticable.

Didn’t know about this, subdividing it more definitely helped, thanks. Yeah I should try Eevee more, but it sometimes has some really weird shadow artifacts as well, and I don’t always figure them out.