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As for the tactic, first I planned two burns to hug Vesta (all of them with Vesta as my frame of reference):
1) At the start of the game, I planned a radial burn toward Vesta of ~1.5 km/s
2) I selected a point in the trajectory close to Vesta, clicked on Vesta, then selected the automatic circular injection around Vesta, then, depending on the outcome, I selected another point in the trajectory (farther away if the trajectory resulted in collision, closer if the orbit isn't very close to Vesta) that would result in a very tight circular orbit (the following is a screenshot of one of my attempts)
https://steamcommunity.com/sharedfiles/filedetails/?id=2579000045
Then I executed the burns, laughed at the enemy missiles and drones running out of dV or orbiting Vesta without trying to intercept my fleet, and finally I used missiles and drones to deal with every red blip in the orbital view.
That's actually a really creative approach. The AI goes after you instantly so I figured I might as well hold course and rely on my point defense. In terms of actually using the orbital mechanics, I found intercepting the Devastator missiles to be the hardest and most time-consuming part, was it much of a challenge getting the drones out of the tight orbit to intercept the missiles?
Not at all, you end up with an orbit that has a period of 5 h and 10-15 min and an escape velocity of a mere 60 m/s.
Maybe it's possible to reduce the ~1.5 km/s of the initial burn, as long as the enemy missiles and drones don't get to intercept you.