“2019年USAAAO决赛第4题”的版本间的差异

来自astro-init
(创建页面,内容为“==英文题目== 4. (7 points) Consider a star with mass M and radius R. The star’s density varies as a function of radius r according to the equation ρ(r) = ρ(…”)
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2020年3月7日 (六) 17:18的版本

英文题目

4. (7 points) Consider a star with mass M and radius R. The star’s density varies as a function of radius r according to the equation ρ(r) = ρ(center)(1-sqrt(r/R)), where ρcenter is the density at the center of the star. Derive an expression for dP{dr in terms of G, M, R, and r, where P is the pressure at a given radius r.