The yellow kidney bean orbit depicted only takes a year, but it doesn't actually form a loop, and the kidney bean moves gradually away from the Earth around the blue circle. When it goes almost all the way around, it's going to start going back in the opposite direction. 770 years is the time it takes for the yellow orbit to traverse the blue orbit once in each direction.
Not only does it not orbit the earth in any physically meaningful sense - it doesn't even trace a shape that goes around the earth, which is annoying because I'm pretty sure I've told people that it did.
The yellow kidney bean orbit depicted only takes a year, but it doesn't actually form a loop, and the kidney bean moves gradually away from the Earth around the blue circle. When it goes almost all the way around, it's going to start going back in the opposite direction. 770 years is the time it takes for the yellow orbit to traverse the blue orbit once in each direction.
Not only does it not orbit the earth in any physically meaningful sense - it doesn't even trace a shape that goes around the earth, which is annoying because I'm pretty sure I've told people that it did.