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3 A (15 points) A satellite is in a circular orbit. around the earth; the orbit has radius a (from which you can deter- mine

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3 A (15 points) A satellite is in a circular orbit. around the earth; the orbit has radius a" (from which you can deter- mine its speed). The satellite applies its thrusters and suddenly increases its speed {maintaining the direction of its motion} by a factor x > 1. a) \"That. must. x be if the nal orbit is to be parabolic? b) Given that X is actually less than that required to be parabolic. so that the nal orbit is elliptical, what is the apogee of that orbit? \"-"hat is the perigee? Hint: what are 0:, E, e. and l of the new orbit. in terms of x

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