Galactic tide in a noninertial frame of reference

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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