You are standing on an airless celestial body, one that is large enough to be approximately spherical. You have a cannon that you can adjust to launch a cannon ball at any speed you specify. Which of the following statements are true? Hint: There are 2 correct statements.
If you give it enough speed and aim it parallel to the ground the ball will go into a circular orbit. (Watch out, it may hit you in the back.)
If you launch the ball at low speed, it will move along an eccentric ellipse with the center of the body at one focus and most of the orbit underground.