非惯性参考系中的银河潮
Galactic tide in a noninertial frame of reference
摘要：
导出了非惯性参考系中银河潮的运动方程和扰动加速度（力）矢量。非惯性参考系相对于银河系的惯性参考系以固定的角速度$\vecω$ $=$ $-$ $ω_{0}$ $\hat{\vec{z}}$旋转。$\vecω$是太阳围绕银河系中心旋转的角速度，单位矢量$\hat{\vec{z}}$朝向银河系的北极：太阳总是位于$y'$ $=$ 0平面（$x' - z'$ -平面）。运动方程可以应用于奥尔特彗星云的动力学。本文提出了密切轨道根数计算的关系式，并导出了一种新的运动积分，用于模拟银河潮汐场的影响。
英文摘要：
Equation of motion and the vector of perturbing acceleration (force) for the galactic tide in a noninertial frame of reference is derived. The noninertial reference frame is rotating with a fixed angular velocity $\vecω$ $=$ $-$ $ω_{0}$ $\hat{\vec{z}}$ with respect to the inertial frame of reference of the Galaxy. $\vecω$ is the angular velocity of the solar rotation (rotation of the Local Standard of Rest) around the galactic center, the unit vector $\hat{\vec{z}}$ is oriented toward the north pole of the Galaxy: the Sun is always situated in the plane $y'$ $=$ 0 ($x' - z'$-plane). The equation of motion can be applied to the dynamics of the Oort cloud of comets. Relations for calculation of the osculating orbital elements are presented and a new integral of motion is derived for the conventional approach in modelling of the effect of the galactic tidal field.
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