Steven Fry in an episode of his funny informative show QI incorrectly called Cruithne Earth's second moon. It's not; it orbits the sun, not the Earth. I don't think it's ever directly sunward or starward from us, but always either in front of us, behind us, or on the other side of the sun.
https://www.youtube.com/watch?v=BmbuSR-fOZM
https://en.wikipedia.org/wiki/3753_Cruithne
Cruithne orbits the sun at about the same distance as the Earth, and so with about the same period as the Earth. The orbit varies, so sometimes it's closer to the sun than we are, and sometimes further from it. So, seen from the Earth, what it's doing is moving around us - sometimes ahead of us in orbit, sometimes sunward, sometimes behind us, sometimes starward. But its orbit isn't pefectly elliptical, and it has more inclination, so it traces out an interesting path.
That video is a recycling of an older video which had a very informative voice-over, rather than some cheesy music. That video doesn't seem to be online any more, sadly.
Cruithne's orbit was only figured out in 1997, and i remember that it was briefly very cool (for small values of cool). Stephen Baxter, who was a top science fiction writer at the time, featured it in his novel 'Time'.