The spectral lines of a 1 solar mass star have a random noise shift of 1 ms due to the effects turbulence in the star. how close would an earth-mass planet have to be to the star so that the -1 planet's radial velocity would exceed the natural 1 ms radial velocity jitter by a factor of 2? how long would the year be if the planet were this close to the sun?

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.