the motion of a particle position vector r under an attractive central force of magnitude F(t,0) u=1/r: d? F(1/0) d02 p2 0 = h mh2u2 +u= A particle P of unit mass moves with position vector r under a central force k(2 + sin 20)-(3/2) 3 Show that the particle moves in orbits whose Cartesian equation are 1 - Az - By = 3)2+(2+ + xy + y2)1/2, where h. A and B are constants. (Hint: In the u-equation for motion look for a particular integral proportional to V2+sin 20 and then convert into Cartesian coordinates.