How do I calculate the loss of primordial heat for a given age and mass of a planet?

I'm working on a computer program which generates realistic planets for worldbuilding purposes. I've run into an issue with calculating my planets heat loss. While radiogenic and tidal heat generation and loss were easy enough to pin down, calculating primordial heat seems way harder. On Earth, we currently lose 12 - 30 TW of primordial heat. Jupiter on the other hand is even today 40 K hotter than it should be due to its primordial heat. What I'm looking for is a reasonably accurate formula giving me the current heat loss in TW for a given age and mass of the planet.

Assume that a planet is simply a pure rocky sphere without an atmosphere. If it isn't too complicated the modification of the formula for a water or pure hydrogen sphere would be nice.

is a duplicate

This question has been asked before and has already been answered. It should be marked as a duplicate.

Please enter the URL of the proposed duplicate in the details field below.

not constructive

This question cannot be answered in a way that is helpful to anyone. It's not possible to learn something from possible answers, except for the solution for the specific problem of the asker.

Communities

How do I calculate the loss of primordial heat for a given age and mass of a planet?

0 comment threads

0 answers