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| DOI | 10.1016/j.earscirev.2019.01.024 |
| Analytics of planetary rotation: Improved physics with implications for the shape and super-rotation of Earth's core | |
| Criss R.E. | |
| 发表日期 | 2019 |
| ISSN | 00128252 |
| 起始页码 | 471 |
| 结束页码 | 479 |
| 卷号 | 192 |
| 英文摘要 | The basis of the famous equation attributed to Maclaurin (1742), which relates the ellipticity of homogeneous spheroids to their rotation rate, is reviewed and Todhunter's (1873) neglected but important contribution is recognized. The relationship is then re-derived in a new manner based on potentials and energy conservation rather than on force balance, yielding exact analytical equations that are valid for both homogeneous objects and inhomogeneous objects with any spheroidal mass distribution. The new equations are applied to the Earth considering three density distributions: the homogeneous case, several two layer models, and an internal density that varies according to the PREM seismic model. Earth's sidereal rotation rate plus the polar and equatorial values of the gravitational acceleration g are all accurately computed from the PREM density distribution, validating the analysis while using no fits, approximations or free parameters. Earth's core must be more spherical than Earth's outer surface. The potentially measurable difference of 0 to 5 km from a congruent core shape is inversely related to the magnitude of core super-rotation, and bears on many additional matters including the core's volume, and the magnitude and direction of its internal and external gravity field. © 2019 Elsevier B.V. |
| 关键词 | Core super-rotationMaclaurin's equationPlanetary shape |
| 英文关键词 | core (planetary); geophysics; gravity field; homogeneity; planetary rotation; shape analysis |
| 语种 | 英语 |
| 来源期刊 | Earth Science Reviews
 |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/203411 |
| 作者单位 | Department of Earth & Planetary Sciences, Washington University, St. Louis, MO 63130, United States |
| 推荐引用方式 GB/T 7714 | Criss R.E.. Analytics of planetary rotation: Improved physics with implications for the shape and super-rotation of Earth's core[J],2019,192. |
| APA | Criss R.E..(2019).Analytics of planetary rotation: Improved physics with implications for the shape and super-rotation of Earth's core.Earth Science Reviews,192. |
| MLA | Criss R.E.."Analytics of planetary rotation: Improved physics with implications for the shape and super-rotation of Earth's core".Earth Science Reviews 192(2019). |
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