# Advance Dynamics: Modeling and Analysis by A. Frank D'Souza

By A. Frank D'Souza

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22 Orbit of satellite. 3 Sec. 8 Orbits of Planets and Satellites 73 will occur. The radius of the earth is R. Neglect the drag after the spacecraft enters the earth's atmosphere. First, it should be noted that there is drag on the satellite after it enters the earth's atmosphere. The subatmospheric flight is therefore no longer a central force motion and the results of our analysis are not valid. An approximate answer can be obtained by neglecting drag and it can serve as a guideline for more accurate formulation of the subatmospheric motion.

0 = P 52 Dynamics of Particles: Newton's Law, Energy, and Momentum Methods Sec. 4 Chap. 3 The solution of these equations of motion is given by These equations can be expressed as x = X2 = x3 = fs(Xt. x2, Xs, x4, P) 1 x3 Xc =Vol X4 Yc lt. 27). ) V 0 t! ) h. 5 A projectile of mass m has a velocity v. i and altitude hof at the instant when an explosion breaks the projectile into two parts of masses m 1 and m 2 , respectively. The coordinate system is shown in Fig. 1l. gt2 ho - = Zc At time f4(x!.

We then obtain Tt 63 without integrating the equations of motion. , ,, I f I 'I constant which is a statement of the conservation of angular momentum about the origin. 6 PRINCIPLE OF IMPULSE AND MOMENTUM A collar of mass m slides on a rod with Coulomb friction under the action of a force P shown in Fig. 17. The coefficient of friction is p.. Determine the time at which the collar comes to rest again. The forces acting on the collar are shown in Fig. 17. The linear momentum in the y and z directions is zero at all times.