Posted: Jun 06, 2011 10:14 am
Yes: if the object, initially, is travelling through the interstellar void, minding its own business, with a velocity only slightly different from that of the solar system (same direction, but very slightly slower), then as the solar system gradually overhauls it, it will be affected by the Sun's gravitational field and, on these (clearly unrealistic) assumptions, it will fall straight into the Sun with ever increasing speed relative to the Sun.