"God with us"
Amen, RussAnon.
This reasoning is not sound.
Time of approach depends entirely on trajectory and speed.
Kepler's law: An object in a very elongated oblique elliptical orbit can whip around the sun very rapidly. If you care to learn Kepler's 2nd law, read the paragraph titled Equal Areas here:
http://www.physicsclassroom.com/class/circles/Lesson-4/Kepler-s-Three-Laws
"Kepler's second law - sometimes referred to as the law of equal areas - describes the speed at which any given planet will move while orbiting the sun. The speed at which any planet moves through space is constantly changing. A planet moves fastest when it is closest to the sun and slowest when it is furthest from the sun. Yet, if an imaginary line were drawn from the center of the planet to the center of the sun, that line would sweep out the same area in equal periods of time."