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Hi I wanted to know what the least energy trajectory is in relation to astronomy as I can't seem to find a good answer on Google. I want to know because I am trying to answer this question:

A space probe is put into orbit around the sun with semi major axis of $2AU$. How long in years does it take to orbit the sun once? If it travelled directly in a least energy trajectory, how long would it take the space probe to get from earth to it's new orbit ?

I believe I have done the first step which is use keplers 3$^{\text{rd}}$ law so

$$T = \sqrt{2^3} = 2.82$$ years but I have no idea what the least energy trajectory is in order to finish the problem?

Thanks

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I think its the Hohmann transfer. I find this pdf that explains the idea with some examples and maybe you can find more by searching.

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