[SPACE] Tidal braking

[Artifact]

I have a quick planetary orbit question - slightly off topic, but close.

In order to calculate the blackbody T for a planet in a binary system, how do you factor in the effect of the second star if it is close enough to have a measureable effect?

For example, I generated a system with 2 K0 stars. The companion star orbits with an average radius of 12 au's. This makes a forbidden zone starting at 1.98 au's for the primary planet. The inner limit of the primary star is 0.08, so there is room for a few planets (in this case 4 were generated).

The 3rd planet has an orbital radius of 0.55, density of .9, diameter of 1.35. The blackbody Temp using the primary star is 302, making it a garden world. But with an average radius of only 12, th blackbody T based on the companion star would be 64.9. If the T is additive (T = 302 + 65 = 367), then the world would be considered a greenhouse world instead of Garden. I used the same Luminosity for both stars for simplicity as 0.4280.

So what is the correct way to calculate the combined Blackbody T?

Thanks