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A Binary Sun, A Hot Jupiter and a Binary Mars...All Within View of Earth

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In this scenario, the sun is a binary star, sharing orbit with an F-type main-sequence star. The first planet from that binary star is a Jupiter-like gas giant, orbiting one-third of an AU from the stars. Mars is a binary planet, orbiting Earth.

How far would Mars need to be to orbit the Earth without destroying each other under their own gravities?

How far would Earth need to be to make sure that the two stars pose no difference to radiation or temperature changes?

How would Earth's orbit be affected, if likely?

Ultimately, what would the sky, day and night, look like with a binary star, a hot Jupiter and Mars orbiting our planet?

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This post was sourced from https://worldbuilding.stackexchange.com/q/29301. It is licensed under CC BY-SA 3.0.

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