 Ch 2. Particle Force and Acceleration Multimedia Engineering Dynamics Rect.Coord. Normal/Tang. Coord. PolarCoord. Orbital Mechanics Computational Mechanics
 Chapter - Particle - 1. General Motion 2. Force & Accel. 3. Energy 4. Momentum - Rigid Body - 5. General Motion 6. Force & Accel. 7. Energy 8. Momentum 9. 3-D Motion 10. Vibrations Appendix Basic Math Units Basic Equations Sections Search eBooks Dynamics Fluids Math Mechanics Statics Thermodynamics Author(s): Kurt Gramoll ©Kurt Gramoll DYNAMICS - CASE STUDY SOLUTION Solution of a) Circular Orbit, ε = 0 The initial velocity required to give the satellite a circular orbit can be found from, where   g = 32.2 ft/s2             RE = 3.960 mi = 20.9 x 106 ft             ro = 10,000 mi = 52.8 x 106 ft = 16,300 ft/s Solution of b) Parabolic Orbit, ε =1 The minimum initial velocity required to escape the earth's gravitational pull can be found from: = 23.1 x 103 ft/s Solution of c) Elliptical Orbit, 0 < ε < 1 To find the maximum radius, the eccentricity of the orbit must be determined when the initial velocity of the satellite is 20,000 ft/sec. = 0.500 Because 0 < ε < 1, the orbit must be elliptical, and thus the maximum radius occurs at apogee. = 158 x 106 ft = 29,900 miles

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