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arXiv 1909.00673astro-ph.GA
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用Neumann边界条件研究太阳系和银河系中粒子的运动

Motion of Particles in Solar and Galactic Systems by Using Neumann Boundary Condition

Hossein Shenavar

摘要:

研究了Shenavar 2016 a在宇宙学扰动方程基础上引入Neumann边界条件导出的一个新的运动方程。通过对近日点进动的研究,表明新的运动方程对太阳系天体的轨道有一个很小的修正,尽管可以检测到。然后对一个质点系进行调查,以便更好地了解星系结构。同时给出了力定律的一般形式,并由此导出了轴对称星盘的自转曲线和质量差。此外,它建议,作为向心加速度的函数的质量差异变得显着附近的恒定加速度$ 2c_{1}a_{0} $,其中$c_{1}$是诺依曼常数和$ a_{0} = 6.59 \times 10^{-10} $ $m/s^{2}$是一个基本的加速度。此外,它表明,临界面密度等于$ σ_{0}=a_{0}/G $,其中G是牛顿引力常量,有一个显着的作用,在旋转曲线和质量差异图。此外,还解释了小半径下NFW质量密度分布的具体形式$ ρ\propto 1/r $。最后,本模型将通过使用39个LSB星系的样本进行测试,我们将表明旋转曲线拟合通常是可以接受的。除了星系F571-8外,导出的质量与光的比值也在合理的范围内。

英文摘要:

A new equation of motion, which is derived previously by imposing Neumann boundary condition on cosmological perturbation equations (Shenavar 2016 a), is investigated. By studying the precession of perihelion, it is shown that the new equation of motion suggests a small, though detectable, correction in orbits of solar system objects. Then a system of particles is surveyed to have a better understanding of galactic structures. Also the general form of the force law is introduced by which the rotation curve and mass discrepancy of axisymmetric disks of stars are derived. In addition, it is suggested that the mass discrepancy as a function of centripetal acceleration becomes significant near a constant acceleration $ 2c_{1}a_{0} $ where $c_{1}$ is the Neumann constant and $ a_{0} = 6.59 \times 10^{-10} $ $m/s^{2}$ is a fundamental acceleration. Furthermore, it is shown that a critical surface density equal to $ σ_{0}=a_{0}/G $, in which G is the Newton gravitational constant, has a significant role in rotation curve and mass discrepancy plots. Also, the specific form of NFW mass density profile at small radii, $ ρ\propto 1/r $, is explained too. Finally, the present model will be tested by using a sample of 39 LSB galaxies for which we will show that the rotation curve fittings are generally acceptable. The derived mass to light ratios too are found within the plausible bound except for the galaxy F571-8.

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。

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