Ephemerides of Visual Binaries in Near-Parabolic Orbits

TL;DR

This paper presents a new algorithm for calculating the ephemerides of visual binary stars in near-parabolic orbits, applicable to both elliptical and hyperbolic cases, with demonstrated accuracy on real systems.

Contribution

The paper introduces a novel algorithm based on the Gauss method for ephemerides calculation of near-parabolic visual binaries, improving accuracy over previous methods.

Findings

Good agreement with observed data

Enhanced accuracy in ephemerides predictions

Applicable to both elliptical and hyperbolic orbits

Abstract

In this paper, an algorithm for the ephemerides of visual binaries in near-parabolic orbits for either elliptic or hyperbolic case has been developed. The algorithm uses the Gauss method for determining both the true anomaly and the radial distance. Applications of the algorithm are presented for the binaries ADS 11632, WDS 19553-0644, and WDS 01243-0655. The result obtained shows a good agreement and in some cases more accurate when compared with the observations as well as the predicted ephemerides.