# Galactic tide and secular orbital evolution

## TL;DR

This paper develops an advanced model for the secular orbital evolution of comets in the Oort cloud, incorporating galactic potential variations and the Sun's oscillation, leading to potentially significant differences from traditional models.

## Contribution

It introduces new terms accounting for the Sun's oscillation and galactic potential dependence, enhancing the accuracy of comet orbital evolution modeling.

## Key findings

- Orbital evolution can differ significantly from conventional models.
- New terms from the Sun's oscillation affect comet trajectories.
- Model applicability is limited to certain orbital period conditions.

## Abstract

Equation of motion for the galactic tide is treated for the case of a comet situated in the Oort cloud of comets. We take into account that galactic potential and mass density depend on a distance from the galactic equator and on a distance from the rotational axis of the Galaxy. Secular evolution of orbital elements is presented. New terms generated by the Sun's oscillation about the galactic plane are considered. The inclusion of the new terms into the equation of motion of the comet leads to orbital evolution which may be significantly different from the conventional approach. The usage of the secular time derivatives is limited to the cases when orbital period of the comet is much less than i) the period of oscillations of the Sun around the galactic equator, and, ii) the orbital period of the motion of the Sun around the galactic center.