Galactic tide in a noninertial frame of reference

Abstract

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 $\vec{\omega }$ $=$ $-$ ${\omega }_0$ $\hat{\vec{z}}$ with respect to the inertial frame of reference of the Galaxy. $\vec{\omega }$ 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 $y^{\prime }$ $=$ 0 ($x^{\prime }-z^{\prime }$-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.

15 pages, corrected exponent in equation of motion

References in corpus (1)

• Galactic tide

Cited by in corpus (3)

• Galactic tide and orbital evolution of comets
• Galactic tide and some properties of the Oort cloud
• Galactic tide and secular orbital evolution