1st : all planets in orbit follow an elliptical path (not circular) and the sun (or other object orbiting around) at one of the focal points of the elipse
2nd : as the planet orbits the sun, it sweeps equal areas of the elipse in a given time, therefore it is faster when closer to orbit.
3rd: basically this is a formula, the square of a planets period is proportional to the cube of the distance between the planet and sun.
remember these apply for all cases where an object orbits another with significantly larger mass.