Could a star half as hot as our sun maintain similar surface temperatures of planets orbiting it if it was half the distance?

I'm trying to build a world that is orbiting a red giant but sustains life similarly to the conditions of earth.Since red giants are about half the temperature (3000 kelvin) of our sun (6000 kelvin) life could not be sustained, at least not to the same extent. (I'm trying to keep the surface temperature about 20-60° Celsius)

Since red giants are about half the temperature of our sun, if it was half the distance away from the planet would the temperatures be the same? Assuming it's solar mass was 0.5 that of our sun as well, would there be an increase in gravity or would the planet be able to orbit normally with no adverse affects?

The closer proximity seems as though it would cancel out the lack of temperature, and the halving of mass would furthermore cancel out the increased gravity of the closer proximity.

posted about 6 years ago

Lutro‭

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