“2015IOAA理论短问题第1题-共振轨道”的版本间的差异
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（创建页面，内容为“==英文题目== Several exoplanets have been observed in the Gliese 876 system $$\left(M_{G} = 0.33\pm 0.03 M_{\odot}\right)$$ as given in the following table, {|…”） |
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| 第12行： | 第12行： | ||
| Gliese 876 d || $$6.8M_{\oplus}$$ || 0.0208 | | Gliese 876 d || $$6.8M_{\oplus}$$ || 0.0208 | ||
|- | |- | ||
| − | | Gliese 876 e|| $15M_{\oplus}$ || 0.334 | + | | Gliese 876 e|| $15M_{\oplus}$$ || 0.334 |
|} | |} | ||
| + | where $$M_{\odot}$$ is mass of Sun, $$M_{J}$$ is mass of Jupiter, $$ | ||
| + | \left(M_{J}=1.89813 \times 10^{27} \mathrm{~kg}\right) | ||
| + | $$, and $$M_{\oplus}$$ is mass of Earth. Assume that all these planets revolve around Gliese 876 in the same direction. Two planets are said to be in resonant orbits if the synodic period of one planet with respect to the other planet is an integer multiple of the orbital period of the second planet. | ||
| + | |||
| + | Find if any of the exoplanets of Gliese 876 system may have resonant orbits. | ||
2022年3月18日 (五) 20:08的版本
英文题目
Several exoplanets have been observed in the Gliese 876 system $$\left(M_{G} = 0.33\pm 0.03 M_{\odot}\right)$$ as given in the following table,
| Gliese System | Mass | Semi Major Axis (AU) |
|---|---|---|
| Gliese 876 b | $$2.276M_{J}$$ | 0.2083 |
| Gliese 876 c | $$0.714M_{J}$$ | 0.1296 |
| Gliese 876 d | $$6.8M_{\oplus}$$ | 0.0208 |
| Gliese 876 e | $15M_{\oplus}$$ || 0.334
|}
where $$M_{\odot}$$ is mass of Sun, $$M_{J}$$ is mass of Jupiter, $$
\left(M_{J}=1.89813 \times 10^{27} \mathrm{~kg}\right) $$, and $$M_{\oplus}$$ is mass of Earth. Assume that all these planets revolve around Gliese 876 in the same direction. Two planets are said to be in resonant orbits if the synodic period of one planet with respect to the other planet is an integer multiple of the orbital period of the second planet. Find if any of the exoplanets of Gliese 876 system may have resonant orbits. |
