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write a code in python (spyder) to solve the followingporoblem Make one figure with two panels (top and bottom) for parts a andb. Show ?
write a code in python (spyder) to solve the followingporoblem
Make one figure with two panels (top and bottom) for parts a andb. Show ? out to 200 radians.?
Hyperion is an irregularly-shaped moon of Saturn notable for its chaotic rotation. Its motion may be modelled as follows. The orbit of Hyperion (H) about Saturn (S) is an ellipse with semi-major axis, a, and eccentricity, e. Let its point of closest approach (periopsis) be P. Its distance from the planet, SH, as a function of its true anomaly (orbital angle, measured from the line SP) is therefore a(1-2) 1+ecos Define the angle to be that between the axis of the smallest principal moment of inertia (loosely, the longest axis of the moon) and SP, and the quantity 2 to be a scaled rate of change of with (ie. the rate at which Hyperion spins as it orbits Saturn) as follows: a do T do Now, it can be shown that dn B-A 3 a do C 2(1-2) sin[2(0-6), H P where A, B and C are the principal moments of inertia. Use scipy.integrate.odeint to find and plot the spin rate, S2, as a function of for the initial conditions (a) 0=2=0 at = 0, and (b) = 0.2=2 at = 0. Take e = 0.1 and (B-A)/C = 0.265.
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