Let's say I have an object orbiting the Sun in a circular orbit with an orbital velocity of 30 km/s. If I want to accelerate prograde into a hyperbolic orbit, and I'd like my velocity relative to the Sun to be 1 km/s at infinity, what is the formula I'd use to figure out how much delta v in the prograde direction I'd have to apply? I believe the formula for escape velocity is [itex]circular velocity * sqrt{2}[/itex], but I want to know how much further I must accelerate to have 1 km/s of extra velocity when the rocket has distanced itself from the Sun.(adsbygoogle = window.adsbygoogle || []).push({});

Also, how do I get the root symbol in the tex tags?

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# Escape Velocity Formula

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