有限厚度盘状星系泊松方程的积分

Chinese Astronomy Pub Date : 1979-12-01 DOI:10.1016/0146-6364(79)90027-6

Peng Qiu-he, Huang Ke-lian, Huang Jie-hao, Li Xiao-qing, Su Hong-jun

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引用次数: 1

摘要

假设存在阿基米德螺旋形式的密度扰动，物质密度沿z方向呈指数下降，用汉克尔积分变换和最陡下降法求解了控制扰动引力场的泊松方程。对于z=0平面上的短波摄动，给出了一个简单的解析表达式。在我们的近似中，扰动场的形式是确定的，也是一个阿基米德螺旋。

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Integration of Poisson's equation for a disk galaxy of finite thickness

Assuming a density perturbance in the form of an Archimedes spiral and an exponential decrease of matter density along the z-direction, Poisson's equation governing the perturbed gravitational field is solved with Hankel's integral transform and the method of steepest descent. For shortwave perturbances in the plane z=0, a simple analytical expression is given. In our approximation, the form of the perturbed field is determinate and is also an Archimedes spiral.

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Chinese Astronomy

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