对坡印廷-罗伯逊效应的解释是否正确?
Are explanations of the Poynting-Robertson effect correct?
摘要:
本文讨论了坡印廷-罗伯逊(P-R)效应的物理性质,并与过去30年来发表的有关论述作了比较。相对论协变公式揭示了P-R效应的本质,并指出了科学论文和专著中的非物理解释。虽然最终的运动方程$m$ $d\vec{v} / dt$ $=$($S A'\bar{Q'}_{pr}$ $ / $ $c$)${(1 - \vec{v} \cdot \vec{e} / c) \vec{e} - \vec{v} / c}$通常被正确地提出和使用,但它的推导和对它本质的解释经常是不正确的。运动方程的相对论协变形式产生了P-R效应,即辐射压力对运动球体的作用。不存在作为特殊的相对论协变运动方程的“P-R阻力”。省略非物理术语“P-R阻力”排除了已发表定义中的任何混淆。强调了太阳电磁辐射和微粒(太阳风)辐射效应之间的区别。太阳风对粒子的作用力(考虑径向太阳风速度的简单情况)是$\vec{F}_{sw}$ $=$ $F_{sw}$ [(1 $-$ $\vec{v} \cdot \vec{e} / v_{sw}$)$\vec{e}$ $-$ $x'$ $\vec{v} / v_{sw}$ ],其中$F_{sw}$是作用在静止粒子上的力,$v_{sw}$是日心太阳风速度,并且,$x'$的值取决于颗粒的材料性质(1 $<$ $x'$ $<$ 3)。轨道要素的长期演变。包括初始条件。
英文摘要:
Physics of the Poynting-Robertson (P-R) effect is discussed and compared with the statements published in the past thirty years. Relativistically covariant formulation reveals the essence of the P-R effect and points out to nonphysical explanations in scientific papers and monographs. Although the final equation of motion $m$ $d\vec{v} / dt$ $=$ ($S A'\bar{Q'}_{pr}$ $ / $ $c$) ${(1 - \vec{v} \cdot \vec{e} / c) \vec{e} - \vec{v} / c}$ has been usually correctly presented and used, its derivation and explanation of its essence is frequently incorrect. The relativistically covariant form of the equation of motion yields the P-R effect as an action of the radiation pressure force on a moving spherical body. No "P-R drag", as a particular relativistically covariant equation of motion, exists. Omission of the nonphysical term "P-R drag" excludes any confusion in the published definitions. The difference between the effects of solar electromagnetic and corpuscular (solar wind) radiation is stressed. The force acting on the particle due to the solar wind (the simple case of radial solar wind velocity is considered) is $\vec{F}_{sw}$ $=$ $F_{sw}$ [ (1 $-$ $\vec{v} \cdot \vec{e} / v_{sw}$) $\vec{e}$ $-$ $x'$ $\vec{v} / v_{sw}$ ], where $F_{sw}$ is the force on the stationary particle, $v_{sw}$ is the heliocentric solar-wind speed, and, the value of $x'$ depends on material properties of the particle (1 $<$ $x'$ $<$ 3). Secular evolution of orbital elements is presented. Initial conditions are included.
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