Recovering the pattern speeds of edge-on barred galaxies via an orbit-superposition method

We develop an orbit-superposition method for edge-on barred galaxies, and evaluate its capability to recover the bar pattern speed $\rmΩ_p$. We select three simulated galaxies Au-18, Au-23, and Au-28 with known pattern speeds from the Auriga simulations, and create MUSE-like mock data sets with edge-on views (inclination angles $θ_{\rm T}\ge85^\circ$) and various bar azimuthal angles $φ_{\rm T}$. For mock data sets with side-on bars ($φ_{\rm T}\ge50^\circ$), the model-recovered pattern speeds $\rmΩ_p$ encompass the true pattern speeds $\rmΩ_T$ within the model uncertainties ($1σ$ confidence levels, $68\%$) for 10 of 12 cases. The average model uncertainty within the $1σ$ confidence levels is equal to $10\%$. For mock data sets with end-on bars ($φ_{\rm T}\le30^\circ$), the model uncertainties of $\rmΩ_p$ depend significantly on the bar azimuthal angles $φ_{\rm T}$, with the uncertainties of cases with $φ_{\rm T}=10^\circ$ approaching $\sim30\%$. However, by imposing a stricter constraint on the bar morphology ($p_{\rm bar}\le0.50$), the average uncertainties are reduced to $14\%$, and $\rmΩ_p$ still encompass $\rmΩ_T$ within the model uncertainties for three of four cases. For all the models that we create in this paper, the $2σ$ ($95\%$) confidence levels of the model-recovered pattern speeds $\rmΩ_p$ always cover the true values $\rmΩ_T$.