Geir said:Tidal forces... That took a lot longer than I thought and hurt my brain more than I wanted.
Have to balance realism with level of effort and complexity and the ability to roll 2D and get an answer.
So there are three effects of tidal forces:
Tidal lock - that's the one we think about with regards to red dwarf worlds and moons of gas giants. That I can do as a table with a ton of DMs.
Tides - That's what happens when you're not locked and the water (or whatever) sloshes around the world. Three possible sources: the primary on the world, the moon on a world, and moons on one another. Formulas for each.
Tidal heating - Think Io and Enceladus - they're locked, but because their orbits aren't circular they still experience tidal forces that deform the surface and cause seismic stress. And causes mental stress:
From the wikipedia article on tidal heating:
... [the constant] represents the imaginary portion of the second-order Love number which measures the efficiency at which the satellite dissipates tidal energy into frictional heat.
Yeah, thanks for that.
I kludged together something good enough to be workable for those who care to delve into that detail. The kludged formula gives a result of 101 for Io, 11 for Enceladus, and 0.017 for Luna - good enough. It only actual matters when the satellite is in a resonance orbit with another satellite and that factor prevents circularization of the orbit. If eccentricity drops to zero, so does the tidal heating effect. And that ends the Science lesson for today.
Ouch! Thanks for the effort man. That made My head hurt just reading your post...lol...