Analytical Mech Homework Solutions 83

Analytical Mech Homework Solutions 83 - Letting r1 = RE +...

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Letting and where h 11 E rRh =+ 2 E 2 1 and h 2 are the heights of the 2 satellites above the ground. Inserting these into the above gives … 33 3 22 12 2 tE EE hh TR RR Rg R g ππ ++  = +   From Example 6.6.2, R E = 6371 km, h 1 = 200 mi = 324 km and h 2 = r 2 - R E = 42,400 km - 36,029 km. Putting in the numbers … T t = 4.79 hr (b) Thus, 00 0 180 1 108 12 t T θ  =− =   6.33 The potential for the inverse-cube force law is … () 2 2 k r = Vr Letting ur 1 = , we have (Equation 6.9.3) 2 1 1 2 du ml u V u E d  + +=   2 2 2 EV du u dm l = 22 2 2 2 2 2 ml dd u mE V mlu u ml == −−
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