Sidereal days (6 pts) (a) (3 pts) describe, using a diagram like figure 1, that the earth must rotate1o extra, or ~ 361° every synodic (solar) day. (b) (2 pts) given that it takes 1 synodic day (24 hr) to rotate 361, estimate how long it takes the earth to rotate the extra 1°. this is the difference between a synodic day and a sidereal day. does your answer make sense to you? (c) (1 pt) based on your answer in part (b), what does this mean for the time that a given star rises each day? to distant star (not to scale! ) figure 1: schematic representation of the earth's orbital motion during one rotation period with respect to the sun and fixed stars