[js1138]

it takes a convoluted horseshoe path around our planet as it is tossed about by the Earth's and the Moon's gravity.

How big is this rock, and just how close does it come to earth?

[malakhi]

How big is this rock, and just how close does it come to earth?

It is three miles across, and it reaches its closest approach to earth (9.3 million miles away) every 385 years. Its next close approach is 2285.

[Cultural Jihad]

How big is this rock, and just how close does it come to earth?

Physicist could better answer your questions, but a 50 day orbit of an object requiring a telescope to see seems to imply a great distance.