An observation satellite is in sun-synchronous orbit at an altitude of 400 km. In sun- synchronous...
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An observation satellite is in sun-synchronous orbit at an altitude of 400 km. In sun- synchronous orbits, the precession rate of the RAAN must be the same as the sun's relative motion with respect to Earth (360 in ~365 days). a. What inclination is needed to achieve this orbit? [Ans.(a) 97.03] A satellite is in circular orbit at an altitude of 700km and inclination of 30. How far will the ascending node move in one day? In which direction? [Ans. (a) -6.0 %/day westward] A satellite has the following orbital elements: a=7278 km, e=0.001, i=50, 2=90, w=45, 0-0 a. To save fuel, you wish to wait until the ascending node moves to 2 = 30 before starting a manoeuvre. How long will it take for the ascending node to move to the desired position? [Ans. (a) 15 days] AER09500 Suggested Problems Ground Tracks What is the satellite's inclination? What is the orbit's period? What is the approximate eccentricity? 180W 150W 120W 90N 60N 51.6N 30N 0 30S 51.6S 60S . 90W 60W 30W 0 . Start 30E 60E 90E 120E 150E 180E 90N ww -Finish- should Note 23.2 ab bad [Ans. 51.6, 1.55 hr, 0] Two satellites have the same inclination, but one satellite's altitude is higher than the other's. How do their ground tracks differ? 90S 909 180W 150W 120W 90W 60W 30W 0 30E 60E 90E 120E 150E 180E [Ans. As altitude increases, the period T increases, so AN gets bigger, therefore the ground track of the higher altitude spacecraft appears to be more "scrunched up"] Can you "hang" a satellite over Sydney? [Ans. No, because Sydney is not on the equator.] GPS satellites are positioned in semi-synchronous circular orbits at 55 inclination, with 4 satellites in each of 6 orbital planes. The orbital planes' RAAN are separated by 60. The 4 satellites in each orbital plane are located at angles of 30, 105, 120, and 105 degrees relative to each other. a) For one orbital plane, sketch the ground track on the blank Mercator projection map and indicate the location of the four satellites. Show all your calculations. b) Which AOEs are required to describe a GPS orbit? Why? 60N 30N 30S 60S An observation satellite is in sun-synchronous orbit at an altitude of 400 km. In sun- synchronous orbits, the precession rate of the RAAN must be the same as the sun's relative motion with respect to Earth (360 in ~365 days). a. What inclination is needed to achieve this orbit? [Ans.(a) 97.03] A satellite is in circular orbit at an altitude of 700km and inclination of 30. How far will the ascending node move in one day? In which direction? [Ans. (a) -6.0 %/day westward] A satellite has the following orbital elements: a=7278 km, e=0.001, i=50, 2=90, w=45, 0-0 a. To save fuel, you wish to wait until the ascending node moves to 2 = 30 before starting a manoeuvre. How long will it take for the ascending node to move to the desired position? [Ans. (a) 15 days] AER09500 Suggested Problems Ground Tracks What is the satellite's inclination? What is the orbit's period? What is the approximate eccentricity? 180W 150W 120W 90N 60N 51.6N 30N 0 30S 51.6S 60S . 90W 60W 30W 0 . Start 30E 60E 90E 120E 150E 180E 90N ww -Finish- should Note 23.2 ab bad [Ans. 51.6, 1.55 hr, 0] Two satellites have the same inclination, but one satellite's altitude is higher than the other's. How do their ground tracks differ? 90S 909 180W 150W 120W 90W 60W 30W 0 30E 60E 90E 120E 150E 180E [Ans. As altitude increases, the period T increases, so AN gets bigger, therefore the ground track of the higher altitude spacecraft appears to be more "scrunched up"] Can you "hang" a satellite over Sydney? [Ans. No, because Sydney is not on the equator.] GPS satellites are positioned in semi-synchronous circular orbits at 55 inclination, with 4 satellites in each of 6 orbital planes. The orbital planes' RAAN are separated by 60. The 4 satellites in each orbital plane are located at angles of 30, 105, 120, and 105 degrees relative to each other. a) For one orbital plane, sketch the ground track on the blank Mercator projection map and indicate the location of the four satellites. Show all your calculations. b) Which AOEs are required to describe a GPS orbit? Why? 60N 30N 30S 60S
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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