解析太阳模型的物理原理和数学结构
An analytic solar model physical principles and mathematical structure
摘要：
讨论了推导太阳内部结构解析表达式的物理原理和数学结构。对于非线性物质密度分布的双参数族，太阳的质量、压力、温度和光度的运行可用高斯超几何函数表示。控制流体静力平衡和太阳能量守恒的微分方程系统产生了特殊函数的另一个应用领域。
英文摘要：
The physical principles and the mathematical structure involved in deriving an analytical representation of the internal structure of the sun are discussed. For a two-parameter family of a non-linear matter density distribution, the run of mass, pressure, temperature, and luminosity throughout the sun are expressed in terms of Gauss' hypergeometric function. The system of differential equations governing hydrostatic equilibrium and energy conservation for the sun generates another field of application of special functions.
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