<p><BR/>Replying to:<BR/><DIV CLASS='Discussion_PostQuote'>Would it be correct to say that spacecraft orbit is a demonstration of spacetime geometry of a given parameters?Also, it seems to me that we know about gravity, we know it exists and can predict and calculate it. We just can't *hack* it at the moment? <br /> Posted by aphh</DIV></p><p>Yes, exactly! Your intuition is very very good (unless of course you really already knew this stuff
).</p><p>An orbit demonstrates the curvature of space. This is precisely why it is called a 'well'.</p><p>Hmm . . perhaps a 'well' no longer conjures up an image for folks these days. I had a great demonstration of it in my youth - I fell into a well. No I didn't, just kidding. What I got to see was the fabulous 'Gravitram' at OMSI (Oregon Museum of Science and Industry), which was a very large contraption with large steel balls rolling on tracks made of brass rods. I spent hours watching it . . . anyway, at the bottom, after the balls finally made it down thru all the gizmos, they would come out on a large cone with a hole in the bottom. The ball goes roundy roundy in orbits (which decayed due to friction) until finally dropping thru the hole.</p><p>That cone is a great physical model for a gravity well. Actually, the shape should be more like a tornado's funnel cloud, but a cone is close enough for starters.</p><p>You are quite astute to mention the parameters. The shape of the curved cone depends on the parameters. In fact, the cone itself is defined by only one parameter: the mass of the planet/moon/star creating the gravity field. An orbit is a particular path on the cone, and for that, the primary parameter is the . . . wait for it . . . Bound Energy. </p><p>The math is done with geometric parameters, namely radius and semi-axis measurements, but to conceptually wrap your brain around it, I highly recommend thinking in terms of Bound Energy.</p><p>To shift the plane of an orbit, you need to make a whole bunch of energy, bound to the gravity field, change its binding. So you can readily see that this is going to take a lot of energy. On the other hand, if you just want to circularize your orbit from a too-eccentric one, you don't have to change the amount OR direction of your Bound Energy - just a little nudge of energy is all you need. </p><p>Replying to:<BR/><DIV CLASS='Discussion_PostQuote'>Also, it seems to me that we know about gravity, we know it exists and can predict and calculate it. We just can't *hack* it at the moment? </DIV></p><p>I think that sums up the situation quite nicely. In fact, I don't have anything to add!.
</p><p> </p> <div class="Discussion_UserSignature"> </div>