Two objects X and Y are observed traveling in space under the influence of the gravitational attraction of the Sun. The closest distance Y travels to the sun is rY,P =8*10^10 meters, at this distance from the sun it travels at a speed of vY,P =6*10^4 m/s. The closest distance X travels to the sun is rX,P=5*10^10 meters at this distance from the sun it travels at a speed of vX,P =7*10^4 m/s.
a) Determine which object has a bound orbit around the sun and which one does not. For the object in a bound orbit...
b) Determine the eccentricity "e" of the bound orbit and find the lengths of the semi-major and semi-minor axes, a and b.
c) Determine its period in years.
d) Determine the smallest speed of the object in the orbit.