1. A NOAA polar orbiting satellite completes one revolution around the earth in 102 minutes. The satellite makes a north to south equatorial crossing at longitude 90°W. Assuming that the orbit is circular and crosses exactly over the poles, estimate the position of the subsatellite point at the following times after the equatorial crossing (Aspherical earth of uniform mass may be assumed):
a. 0 h, 10 mins
b. 1 h, 42 mins
c. 2 h, 0 min
2. A satellite orbit has an eccentricity of .2 and a semimajor axis of 10,000 km. Find the values of: (items in red are my answers - needed for follow-on question)
(a) The latus rectum=19199.9
(b) The minor axis =19595.9 km
(c) The distance between foci = 4000 km
find the length of the position vector when the true anomaly is 130°.
3. The orbit for an earth-orbiting satellite has an eccentricity of .15 and a semimajor axis of 9000 km. Assume a mean value of 6371 km for earth's radius. Determine:
(a) Its periodic time
(b) The apogee height
(c) The perigee height
4. A satellite in polar orbit has a perigee of 600 km and an apogee height of 1200 km. The mean radius of the earth may be assumed equal to 6371 km. Calculate:
a. the mean motion
b. the rate of regression of the nodes
the rate of rotation of the line of apsides
5. Express the following times in days and degrees: 0 h, 5 min, 24 s; 6 h, 35 min, 20 s; 8 h; 41 min 12 s
6. The Molnys 3-(25) satellite has the following parameters specified: perigee height 462 km; apogee height 40,850 km; period 736 min; inclination 62.8°. Using an average value of 6371 km for earth's radius, calculate:
a. Semimajor axis
b. Eccentricity
c. Calculate the nominal mean motion ?0
d. Calculate the mean motion
7. A satellite is in an exactly polar orbit with apogee height 7000 km and perigee height 600 km. Assuming a spherical earth of uniform mass and radius 6371 km, calculate:
a. Semimajor axis
b. Eccentricity
c. The nominal mean motion