Problem 1. Ground tracks. a. A satellite has a circular orbit with inclination i=45. At to the satellite is over the equator with longitude E=00 E. Assume WE=15.04%/h is the rotational rate of the earth and consider the following orbital periods. i. T = 2 hr ii. T = 16 hr iii. T = 24 hr iv. T = 28 hr Draw each ground track for a total of three periods. Label your plots with value of the longitudes where the ground tracks cross the equator. b. Consider a satellite with a circular orbit and a period of 90 minutes that is located over the equator with longitude =0 E at time to. Consider the following inclinations. i. i=45 ii. i=85 Draw each ground track for three periods. Label your plots with value of the longitudes where the ground tracks intersect the equator. c. Consider a satellite with an eccentric orbit e=0.2, inclination i-45 and period of 4 hr. The satellite is located over the equator with longitude E=90 E at time to. Consider the cases i. w=270 ii. w=180 Sketch each ground track for one period. Label your plots with value of the longitudes where the ground tracks intersect the equator. d. Suppose at the beginning of the month, the declination of the moon is 8=20, and it is located over AE-=00 E. Sketch the ground track of the moon over the time interval of 1 day.