(1) Consider a satellite in a sun synchronous orbit with a repeat period of 35 days. The satellite to complete 501 orbits in the 35 day cycle. Assume the radius of the Earth is 6380 km. (a) Assume you want to adjust the orbit of the satellite to a repeat period of 3 days by adjusting the satellite altitude only. What are the possible choices for satellite altitude? (b) Calculate the orbit period and inclination for the sun synchronous orbit with the 3-day repeat period. (c) If we want the satellite to complete 44 orbits in the 3 day cycle How wide should the swath be to cover the globe in the 3 day period? (d) Why might you be motivated to adjust the orbit's altitude periodically as described, i.e. in terms science objectives