Tuesday, January 10, 2012

Newton's Enigma?

Really, none of the above. It may increase or remain unchanged. I'm not sure if it can decrease. On average, and at sufficient distance, it's ogous to approaching a solid, spherical body of the same radius and average density; i.e., unchanged. But with a cluster you can be very close to the CG of one of its component bodies while remaining at a 1-radius distance from the composite CG. The inverse square law can have a large effect here, producing more g than you would experience on the surface of the equivalent solid body if the ratio of material density to average density is large enough. Basically the 2-body approximation fails and it's a multibody situation. Whether the result is an increase or a decrease in g depends on particulars of the conditions.

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