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``a problem on motion''
by perucho on 2010-08-23 02:42:25 |
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| Hi all, The motion of the mass center (MC) of a galaxy is governed by the ODE d^2x/dt^2 - (2/t^2)x = -2v_0/t, where v_0 is the speed of MC at the reference time t_0 > 0. At a critic time t* > 0, d^2x/dt^2(t*) = a*, and at infinite d^2x/dt^2(\infty) = a_\infty. Find t_0 and x(t) in terms of the data t*, v_0, a* and a_\infty. Thanks in advance by your attention! perucho |
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