And for op's question, if you launch something straight "up" at earth enough to get out of the moon's gravity and into earth's, it then just falls "down" to earth without orbit. If you look up at earth and launch something 90 degrees "ahead" of the moon, it would escape into an orbit around earth. Maybe not a stable orbit, I'm not smart enough to figure that out.
HolyGhostin t1_j24uw1g wrote
Reply to comment by ZealousIdealBat-0 in A *dumb* question, for a mixup by Independent-Choice-4
And for op's question, if you launch something straight "up" at earth enough to get out of the moon's gravity and into earth's, it then just falls "down" to earth without orbit. If you look up at earth and launch something 90 degrees "ahead" of the moon, it would escape into an orbit around earth. Maybe not a stable orbit, I'm not smart enough to figure that out.