Two small spacecraft, each with a mass m = 2000 kg, are in orbit circular Earth, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) periods T0 and (b) the speed v0 of the ships? At point P, Picard shoots an instantaneous burst in the forward direction, slowing your ship by 1.00%. After this explosion, the elliptical orbit follows, which is shown discontinuous in the figure. What are (c) the kinetic energy and (d) the potential energy of your ship immediately after the explosion? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semi-major axis a, and (g) the orbital period T? (h) How long before Igor will return Picard to P?
Two small spacecraft, each with a mass m = 2000 kg, are in orbit circular Earth, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) periods T0 and (b) the speed v0 of the ships? At point P, Picard shoots an instantaneous burst in the forward direction, slowing your ship by 1.00%. After this explosion, the elliptical orbit follows, which is shown discontinuous in the figure. What are (c) the kinetic energy and (d) the potential energy of your ship immediately after the explosion? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semi-major axis a, and (g) the orbital period T? (h) How long before Igor will return Picard to P?
Since you can only ansewer to 3 sub-parts, I'll ask here (a,b,c) and submit another question for (d,e,f), (g,h). Thanks.
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