One of my students, Jacob, just popped open the door and said"Question! When a space shuttle docks onto the International Space Station...does it bring its orbit closer to Earth...because of the mass change?"
Whew. I have to chew on that for a while. Here is what I am thinking....the difference in mass is so minute in comparison with the scale of the orbit of the station that it doesn't really affect the orbit distance. Kind of like the idea that technically I have a gravitational pull on the Earth, but since my mass is so much smaller than the Earth's it doesn't really matter. Hmmm....
Then the conversation turned to whether or not satellites naturally fall to the Earth. My first thought was, yes, they do. However, upon further reflection...and some searching...I realized that it has a lot to do with centripetal acceleration. A satellite reaches an optimum speed and the centripetal force outward balances the pull of Earth's gravity. Kind of like when something is swung on the end of a string. If its not fast enough it won't move in a circle and all is lost.
I guess when you breed critical thinking...your morning gets completely turned upside down in one question.
Jacob....want to comment?
