arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1111.3986astro-ph.EP
收藏

行星:幂律和分类

Planets: Power Laws and Classification

Hector Javier Durand-Manterola

摘要:

对行星内部的研究需要了解某些参数,如半径和平均密度,如何根据行星质量而变化。这项工作的目的是使用已知的数据的太阳系行星和凌日系外行星(特别是半径和质量)创建经验定律的行星半径,平均密度和表面重力作为质量的函数。使用的方法是利用现有数据计算行星的平均密度和表面重力,并使用最小二乘法调整半径-质量、密度-质量和表面重力-质量关系的函数。在10 E19到10 E29公斤的质量区间内,行星以自然的方式分成三组或三类,我称之为A类、B类和C类。在所有这些类别中,对于所有函数(半径、中值密度和表面重力),最适合的是幂律。

英文摘要:

The study of the interior of the planets requires the knowledge of how certain parameters, as radius and mean density, vary according to the planet mass. The aim of this work is to use known data of the Solar System Planets and Transiting Exoplanets (specifically the radius and mass) to create empirical laws for the planetary radius, mean density, and surface gravity as a function of mass. The method used is to calculate with the available data, the mean density and surface gravity for the planets and adjusts, using the least squares method, a function with respect to the radius-mass, density-mass and surface gravity-mass relations. In the mass interval from 10E19 to 10E29 kg, the planets separate in a natural way into three groups or classes which I called class A, class B and class C. In all these classes and with all the functions (radius, median density and surface gravity) those best fits are power laws.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑