论文标题
应用于系外行星的多趋势模型的分数秩序分析
Fractional Order Analysis of the Polytropic Models Applied to Exoplanets
论文作者
论文摘要
行星和系外行星内深处的物理状况尚未直接测量，但是间接方法可以计算它们。多端模型是解决此问题的一种可能解决方案。在本文中，我们假设行星的内部遵循状态的多层次方程。静水平衡条件用于确定组成物质的总体结构特性。在符合符合的分数衍生物的框架中，我们使用多面气体球来对系外行星初始阶段的内部室内装饰的密度曲线，压力曲线，温度分布和质量 - 拉迪乌斯关系进行建模。单个化学成分的行星用于研究与分数参数的质量 - 拉迪乌斯关系，压力分布和温度分布变化的行为。我们计算了1MJ，3MJ和10MJ（MJ是木星的质量）的原始球星的质量的72个分数模型，而多粒子指数的值为n = 0、0.5、1、1.5，而分数参数范围为0.75-1。
Physical conditions deep within planets and exoplanets have yet to be measured directly, but indirect methods can calculate them. The polytropic models are one possible solution to this problem. In the present paper, we assume that the interiors of planets follow a polytropic equation of state. Hydrostatic equilibrium conditions are used to determine the overall structural properties of the constituent matter. In the frame of the conformable fractional derivatives, we use polytropic gas spheres to model the density profiles, pressure profiles, temperature distributions, and the mass-radius relations for the interiors of the initial stage of exoplanets. Planets of single chemical composition were used to study the behavior of the mass-radius relation, pressure distributions, and temperature distribution variation with the fractional parameter. We calculated 72 fractional models for the mass of protoplanets of 1MJ, 3MJ, and 10MJ (MJ is the mass of Jupiter), and the values of the polytropic index are n=0, 0.5, 1, 1.5, and the fractional parameter rang 0.75-1.
