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We present far-IR photometry and infrared spectrum of the z=3.9114quasar/starburst composite system APM 08279+5255 obtained using theStratospheric Observatory for Infrared Astronomy (SOFIA)/HAWC+ and the SpitzerSpace Telescope Infrared Spectrograph (IRS). We decompose the IR-to-radiospectral energy distribution (SED), sampled in 51 bands, using (i) a modelcomprised of two-temperature modified blackbodies (MBB) and radio power-lawsand (ii) a semi-analytic model, which also accounts for emission from a clumpytorus. The latter is more realistic but requires a well-sampled SED, aspossible here. In the former model, we find temperatures of T_warm = 296^17_15K and T_cold = 110^3_3 K for the warm and cold dust components, respectively.This model suggests that the cold dust component dominates the FIR energybudget (66%) but contributes only 17% to the total IR luminosity. Based on thetorus models, we infer an inclination angle of i=15^8_8 degree and the presenceof silicate emission, in accordance with the Type-1 active galactic nucleusnature of APM 08279+5255. Accounting for the torus' contribution to the FIRluminosity, we find a lensing-corrected star formation rate ofSFR=3075x(4/mu_L) Msun yr^-1. We find that the central quasar contributes 30%to the FIR luminosity but dominates the total IR luminosity (93%). The 30%correction is in contrast to the 90% reported in previous work. In addition,the IR luminosity inferred from the torus model is a factor of two higher.These differences highlight the importance of adopting physically motivatedmodels to properly account for IR emission in high-z quasars, which is nowpossible with SOFIA/HAWC+.

Constraining the Active Galactic Nucleus and Starburst Properties of the IR-luminous Quasar Host Galaxy APM 08279+5255 at Redshift 4 with SOFIA