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We have investigated the dynamical stability of the proposed companionsorbiting the Algol type short-period eclipsing binary SW Lyncis (Kim et al.2010). The two candidate companions are of stellar to sub-stellar nature, andwere inferred from timing measurements of the system's primary and secondaryeclipses. We applied well-tested numerical techniques to accurately integratethe orbits of the two companions and to test for chaotic dynamical behaviour.We carried out the stability analysis within a systematic parameter surveyvarying both the geometries and orientation of the orbits of the companions, aswell as their masses. In all our numerical integrations we found that theproposed SW Lyn multi-body system is highly unstable on time-scales on theorder of 1000 years. Our results cast doubt on the interpretation that thetiming variations are caused by two companions. This work demonstrates that astraightforward dynamical analysis can help to test whether a best-fitcompanion-based model is a physically viable explanation for measured eclipsetiming variations. We conclude that dynamical considerations reveal that thepropsed SW Lyncis multi-body system most likely does not exist or thecompanions have significantly different orbital properties as conjectured inKim et al. (2010).

An Orbital Stability Study of the Proposed Companions of SW Lyncis