An unmanned satellite orbits the earth with a perigee radius of 10,000 km and an apogee radius of 100,000 km. Calculate: (a) the eccentricity of the orbit; (b) the semimajor axis of the orbit (km); (c) the period of the orbit (h);

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2.20 An unmanned satellite orbits the earth with a perigee radius of 10,000 km and an apogee radius
of 100,000 km. Calculate:
(a) the eccentricity of the orbit;
(b) the semimajor axis of the orbit (km);
(c) the period of the orbit (h);
(d) the specific energy of the orbit (km²/s²);
(e) the true anomaly (degrees) at which the altitude is 10,000 km;
(f) v, and vi (km/s) at the points found in part (e);
(g) the speed at perigee and apogee (km/s).
Transcribed Image Text:2.20 An unmanned satellite orbits the earth with a perigee radius of 10,000 km and an apogee radius of 100,000 km. Calculate: (a) the eccentricity of the orbit; (b) the semimajor axis of the orbit (km); (c) the period of the orbit (h); (d) the specific energy of the orbit (km²/s²); (e) the true anomaly (degrees) at which the altitude is 10,000 km; (f) v, and vi (km/s) at the points found in part (e); (g) the speed at perigee and apogee (km/s).
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