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How to determine the temperature of an Earth-like planet with two major heat sources?

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Ghyesh is an Earth-like habitable moon that orbits a gas giant in a system with a sun significantly larger and hotter than Earth's. Both the gas giant and the sun emit an equal level of heat to the moon, which adds up to a similar level of heat that Earth experiences. The moon tilts and revolves around its axis at the same degree as Earth, has a similar atmosphere, mostly covered in water, and has similar composition. It revolves around the gas giant in a week and the gas giant revolves around the sun every 12 Earth years (same as Jupiter, essentially).

I need to figure how the temperature is generally distributed so I can figure out climate. Here's a map of the world (the red line is the equator, each line is 15 degrees of longitude/latitude apart).

One important factor for temperature is the big white mountain in the west. This is the Sun Spire and its peak is three times that of Everest. This obviously causes a large shadow that will greatly alter the temperature of the northern surrounding area (it'll also affect weather in a big way, but one thing at a time).

I'm no scientist, so forgive me if I've left out some important factors. Another thing to keep in mind is that I'm only doing enough so I can get a good grasp on how the world's climates, so I'm not going to micromanage every little thing.

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This post was sourced from https://worldbuilding.stackexchange.com/q/97030. It is licensed under CC BY-SA 3.0.

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