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

We developed an orbit-superposition method for edge-on barred galaxies and evaluated its capability to recover the bar pattern speed Ωp. We selected three simulated galaxies (Au-18, Au-23, and Au-28) with known pattern speeds from the Auriga simulations and created MUSE-like mock data sets with edge-on views (inclination angles θT ≥ 85°) and various bar azimuthal angles φT. For mock data sets with side-on bars (φT ≥ 50°), the model-recovered pattern speeds Ωp encompass the true pattern speeds ΩT 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 (φT ≤ 30°), the model uncertainties of Ωp depend significantly on the bar azimuthal angles φT, with the uncertainties of cases with φT = 10° approaching ∼30%. However, by imposing a stricter constraint on the bar morphology (pbar ≤ 0.50), the average uncertainties are reduced to 14%, and Ωp still encompass ΩT 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 Ωp always cover the true values ΩT.