Orbital precession and other properties of two-body motion in the presence of dark energy

TL;DR

This paper analyzes how dark energy, modeled as a cosmological constant, influences the orbital dynamics of two-body systems, identifying key parameters that determine orbit types and behaviors.

Contribution

It introduces a framework for understanding two-body orbits under dark energy effects, highlighting critical parameters that distinguish open and closed trajectories.

Findings

Identification of parameters distinguishing orbit types

Description of qualitative orbital behavior with dark energy

Critical parameters for orbit classification

Abstract

We consider the Kepler two-body problem in the presence of a cosmological constant Lambda. Several dimensionless parameters characterizing the possible orbit typologies are used to identify open and closed trajectories. The qualitative picture of the two-body motion is described and critical parameters of the problem are found.