Does the Moon have a heat or temperature effect on Earth even if 1/10000000000!?

I did the calculation almost 10 years ago and came up with a very tiny direct difference (small fraction of a degree).

A popular astronomy magazine did a similar calculation and came up with a difference of 0.02 F

However I do not remember what they calculated (did they use only reflected sunlight or did they include tidal braking?)

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Here are the estimates I calculated in 1998, in Terawatts

(one TW = 10^12 W = a million million watts)

Moon = 1.8 TW (= 1.1 from tidal braking and flexing + 0.7 reflected sunlight)

Earth = 12.1 (radioactivity, loss of gravitational potential...)

Human = 3.0 (burning of fossil fuel releases stored solar energy)

Most of our weather (including earth's average temperature) comes from direct sunlight, so let's compare with:

Sun = 109,860 TW

Thus, the amount of energy we get from the Moon represents less than 0.002% of our total energy "budget"

any source of light energy will have a non-zero effect on temperature simply because a portion of the incoming light is absorbed by the earth. There is reflected light arriving on earth from the moon. There is also a very modest black body radiation that reaches earth from the moon (even from the dark side, there is heat loss to space through light energy.

I think perhaps Raymond is better suited to quantify that energy, or rather, he discusses the magnitude of the energy with more certainty than I can at the moment.

I suspect that it is very likely that the integrated input of all stars on the energy received by earth would be effectively trivial, except perhaps in the situation where that energy was the only source of external energy (absence of a nearby sun).