Work

Bifurcation of resonances in a ring model

Year: 2026

Type: article

Abstract: We consider a particle in a ring system around a primary body, which is modeled as an ellipsoid. We study the occurrence of bifurcations associated to resonances, which arise at different values of the orbital eccentricity of the particle. The analysis of the bifurcations is first conducted by establishing theoretical conditions ensuring the existence of equilibria. Then, each specific resonance is examined through the study of the associated linearized system; their stability is obtained by computing the eigenvalues of the corresponding Jacobian matrix. Our results reveal a variety of dynamical behaviours characterizing the resonances, including pitchfork, saddle-node and transcritical bifurcations.

Source: Ricerche di Matematica

DOI: 10.1007/s11587-026-01112-w

Authors: Alessandra Celletti, Irene De Blasi, Sara Di Ruzza

Institutions: University of Rome Tor Vergata, University of Turin, University of Palermo

Language: English

Topic: Spacecraft Dynamics and Control

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Università degli Studi di Roma Tor Vergata