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/s); (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). {Partial Ans.: (c) 35.66 h; (e) 82.26°; (g) 8.513 km/s, 0.8513 km/s}

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/s); (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). {Partial Ans.: (c) 35.66 h; (e) 82.26°; (g) 8.513 km/s, 0.8513 km/s}

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

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/s);
(e) the true anomaly (degrees) at which the altitude is 10,000 km;
(f) v, and v (km/s) at the points found in part (e);
(g) the speed at perigee and apogee (km/s).
{Partial Ans.: (c) 35.66 h; (e) 82.26°; (g) 8.513 km/s, 0.8513 km/s}

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