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I got 3 missions to Eve (one for Evelike Sun orbit) for which I used basically the same ship with a few tweaks for their requirements (Scaner or telescope).

It was a Mansail SSTO with a nuclear engine orbiter it had about 2500 excess delta V , but since it was only my second attempt at interplanetary travel, I wanted to play it safe, the first 2 missions went well, despite the Eve satellite taking about 1k more delta v than it should have, but then I had to maneuver a satellite to Gilly Kolniya orbit, and it was a disastrous piloting display xd.

After capturing around Eve at about the right budget, I wasn't being able to find an encounter with Gilly, then, I saw one, but it was absurd, it meant making a huge burn to invert my orbit, I knew it was not the right thing to do, but seeing no other alternatives I decided to give it a shot.

However now that I was going against the orbit, I would be forced to cancel all of my relative speed, costing me most of my remaining delta V.

But it was only now that I found myself in the most ridiculous situation of the mission (which you cam see in the photo, my inclination was almost opposite to the required one, being used to making crazy maneuvers by this point though, I did a grand normal burn followed by retrograde, and somehow managed to complete the contract with "only" 100 delta V remaining.

Photo of crazy orbit change

I certainly need to improve my piloting, but nuclear engines really saved the day, even though I absolutely shouldn't have succeeded.

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