A star of mass M = 1.82\times 1030kg is the origin of a coordinate system. A comet of mass m = 4.75\times 1012kg is initially at location r = 2.37\times 1015mi^ +4.11\times 1011mj ^ . The comet is travelling with velocity v = 2.87\times 103msi ^ (The input below will accept answers with no more than 1% variation from the correct value.) Using conservation of energy and of angular momentum, what is the comet's distance from the star at the instant it's closest, and what is the comet's speed? (Hint: Consider the direction of the velocity relative to the position when the comet is at its closest point.) |r | = \times 108m |v| = \times 105ms