3. (10 pts) Three stars have different density profiles, but the same mass M and radius R, express the central pressure
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3. (10 pts) Three stars have different density profiles, but the same mass M and radius R, express the central pressure
3. (10 pts) Three stars have different density profiles, but the same mass M and radius R, express the central pressure for these stars in terms of these parameters, and determine which one has the highest pressure; i) uniform density p(r) = Pc,1; ii) P(r) = Pc,2(1 – (r/R)); iii) P(r) = Pc,3(1 – (r/R)2).
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