“2019年USAAAO决赛第4题”的版本间的差异
来自astro-init
Jingsong Guo（讨论 | 贡献） |
Jingsong Guo（讨论 | 贡献） |
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==英文题目== | ==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 $$ρ_{center}$$ is the density at the center of the star. Derive an expression for $$\ | + | 4. (7 points) Consider a star with mass M and radius R. The star’s density varies as a function of radius r according to the equation $$ρ(r) = ρ_{center}(1-\sqrt{r/R})$$, where $$ρ_{center}$$ is the density at the center of the star. Derive an expression for $$\dfrac{dP}{dr}$$ in terms of G, M, R, and r, where P is the pressure at a given radius r. |
2020年3月7日 (六) 17:43的最新版本
英文题目
4. (7 points) Consider a star with mass M and radius R. The star’s density varies as a function of radius r according to the equation $$ρ(r) = ρ_{center}(1-\sqrt{r/R})$$, where $$ρ_{center}$$ is the density at the center of the star. Derive an expression for $$\dfrac{dP}{dr}$$ in terms of G, M, R, and r, where P is the pressure at a given radius r.
