<p><BR/>Replying to:<BR/><DIV CLASS='Discussion_PostQuote'>My bad then, occasionally we do get kids looking to get their HW done. The "true" answer all depends on how closer to reality you want to come and the conditions you set on the question. With the conditions that you and the ball are waaaaaaay away from anything, comes the assumption that there's no gravity nor any gas nor any EM fields to interact with. So there you are coasting along at 16,000 km/s. You let go of the ball. There's no* forces acting on either you in the Shuttle nor the ball so there's no acceleration. With no acceleration your velocity (speed & direction) remain constant. Same for the ball. So you and the ball continue merrily along in the same direction at 16,000 km/s, just some distance apart from each other.*But wait, both you (the Shuttle) and the ball have mass and so in reality will exert a gravitational force on each other. Slowly the ball will begin to move, ever accelerating, towards the Shuttle. And the Shuttle towards the ball as well, albeit sooo much slower. So in this deeper understanding of reality you both continue going where you were going at 16,000 km/s but also with the Shuttle & ball getting closer to each other until they run back into each other.**Now in our reality you can't get faaaar away so as to be free from the Sun's gravity, at least not in our lifetime. Also there's solar wind, particles of "stuff", being blown of the Sun as well as other particles that are present in what we call a interstellar vacuum. So both you and the ball will be affected by the Sun's gravity (slowing, speeding, changing your and the ball's velocity) and by running into stuff (which will cause a drag force unless the solar wind and sunlight is giving you a push). Either you or the ball may get ionized, that is build up an electric charge. Now you have an electric field making another force, acting on you and the ball. And this is all without discussing the Pioneer Anomaly. So in a super duper approximation to real life ... it get's icky as to exactly what will happen. But if I were asked I'd go with the * answer above as being close enough.No doubt some more informed than I can give you a better rundown of all the forces involved in spaceflight. <br />Posted by mee_n_mac</DIV></p><p>No need for discussiosn of the forces involved in spaceflight.</p><p>Your explanation is correct and captures the important physics, specifically that if the small body is released carefully without application of a force then it will simply continue to move along with the larger body. For problems such as this it is instructive to neglect the very small gravitational attraction between the two bodies, to better illustrate the domiinant physics.</p><p>If you do not neglect the graviational attraction between the two bodies then what you can do is consider the center of gravity of the two bodies, which if one is much more massive than the other will actually reside somewhere inside the larger body, and apply physics to concude that the center of mass is unaffected by the internal forces between the two bodies, It will travel in a straight line (in Newtonian mechanics) and the two bodies that determine it will either orbit one another or approach each other until they make contact and rejoin, held together by gravity.<br /></p> <div class="Discussion_UserSignature"> </div>