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What is the radial velocity of a spacecraft travelling in a parabolic orbit with a true anomaly of 0.52 rad? Given, the orbit is circular, and the specific angular momentum of spacecraft is 57,112 km2/s. Standard gravitational parameter of earth is 398,600 km3/s2?

What is the radial velocity of a spacecraft travelling in a parabolic orbit with a true anomaly of 0.52 rad? Given, the orbit is circular, and the specific angular momentum of spacecraft is 57,112 km2/s. Standard gravitational parameter of earth is 398,600 km3/s2? Correct Answer 3.47 km/s

Given, Standard gravitational parameter (μ) = 398,600 km3/s2 Specific angular momentum (h) = 57,112 km2/s Eccentricity for a parabolic orbit (e) = 1 True anomaly (θ) = 0.52 rad Radial velocity can then be given by: vr = (μ/h)(esinθ) = (398,600/57,112)(1*sin(0.52 rad)) = 3.47 km/s

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