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Now the actual trajectory. Model the planet Ix (your departure planet) as a sphe

ID: 1528152 • Letter: N

Question

Now the actual trajectory. Model the planet Ix (your departure planet) as a sphere of radius 0.02 galus (a galu is a galaxian length unit, the standard for measuring space travel.) For this exercise, consider the launch point as the origin. Your scientists have determined that the best location to descend on planet OCRUS-117 will be when Ix and OCRUS-117 are aligned respect to the y coordinate, and OCRUS-117 will be at the point (54, 0, 12.15). Find a spiral type curve that will put you into OCRUS-117 position. There are some limitations: the 2-component of the velocity vector cannot surpass 5 galus at any time; and the current ship's speed cannot exceed 350 Galus/Gatus, where a galu is a galactic temporal unit, the standard for space travel. You must give the parameterization, the length of the trip, and the time it will take to reach OCRUS-117. Good luck!

Explanation / Answer

Parametrization

x2/5 + y2/6 = 1

length of trip =   5/60

                     = 0.083 galus

time it will take =   0.083/0.002

                       = 41.5 gatus

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