On stacked central configuration of the planar coorbital satellites problem

TL;DR

This paper investigates specific central configurations in the planar coorbital satellites problem, identifying all configurations that remain central after adding one or two satellites under certain mass conditions.

Contribution

It characterizes all such configurations in two cases: equal-mass satellites with two added, and unequal-mass satellite addition.

Findings

All configurations with two added satellites and equal masses are identified.

Configurations with one added satellite and arbitrary masses are characterized.

Results extend understanding of stability and structure in coorbital satellite systems.

Abstract

In this work we look for central configurations of the planar 1 + n body problem such that, after the addition of one or two satellites, we have a new planar central configuration. We determine all such configurations in two cases: the first, the addition of two satellites considering that all satellites have equal infinitesimal masses and the second case where one satellite is added but the infinitesimal masses are not necessarily equal.