Assuming the following values for R, M, and G: Radius of the Earth: R = 6371 km Mass of the Earth: M = 5.972 × 10^24 kg Universal gravitational constant: G = 6.674 × 10^-11 m^3/kg/s^2 A mission to rendezvous with the International Space Station, in orbit 400 km above the surface of the Earth, with an orbital inclination of 51 degrees. You are launching from Cape Canaveral, which is at a latitude of 28.5 degrees. The best time to launch is: 1) Just after sunrise when thermal conditions are optimal 2) When the rotation of the Earth brings the launch site into the plane of the ISS orbit 3) Anytime Launching due east from Cape Canaveral, what will be the inclination of your orbit in degrees? How much of a velocity boost will you get from the Earth #x27;s rotation? Give the answer in km/s with at least 2 decimal places. First, compute the velocity boost at the equator based on the Earth #x27;s circumference and rotational period.
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