A planet P in the xy-plane orbits a star S counterclockwise in a circle with radius 10 units, completing one orbit in 27 units of time. A moon M orbits the planet P counterclockwise in a circle of radius 3 units, completing one orbit in units of time. The star S is fixed at the origin (0,0), and at time t = 0 the planet P is at point (10,0) and the moon M is at the point (13,0). Find parametric equations for the the x- and y-coordinates of the planet, P, at time t [In other words, find the parametric equations for x, and y,].

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