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Reply #6: In theory, it really could exist. Do you know the simplest way to calculate the volume of a torus? [View All]

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HopeHoops Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Sep-15-11 10:58 AM
Response to Reply #1
6. In theory, it really could exist. Do you know the simplest way to calculate the volume of a torus?
There's complicated shit you can throw at it equation wise, but there's an easier way. If you know the centroidal length, being the circle that constitutes the middle point of each most miniscule slice circle of the torus, then that becomes a length. As one of my professors said, "unfold it like a sausage into a log". You multiply the length (that inner circle) times the radius squared times pi and there you be. Volume of doughnut. Then you eat it.

The calculus works out the same way, but sometimes simple observation is superior.

Now as for a planet. That gets weird. The local gravitational forces would clearly keep it in shape, but the gravity would be strongest on the outside edges and weakest on the inner ones. There would be a center point of extreme gravity where anything that entered it would probably never escape and eventually produce a captive non-moving internal moon. I had to do a lot of calculations on this for one of my classes an the results were not always obvious. But yes, such a planet could exist - curiously without rotation!

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