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We present a reconstruction algorithm for extensive air showers with zenithangles between 65$^\circ$ and 85$^\circ$ measured with radio antennas in the30-80 MHz band. Our algorithm is based on a signal model derived from CoREASsimulations which explicitly takes into account the asymmetries introduced bythe superposition of charge-excess and geomagnetic radiation as well as byearly-late effects. We exploit correlations among fit parameters to reduce thedimensionality and thus ensure stability of the fit procedure. Our approachreaches a reconstruction efficiency near 100% with an intrinsic resolution forthe reconstruction of the electromagnetic energy of well below 5\%. It can beemployed in upcoming large-scale radio detection arrays using the 30-80 MHzband, in particular the AugerPrime Radio detector of the Pierre AugerObservatory, and can likely be adapted to experiments such as GRAND operatingat higher frequencies.

Reconstructing inclined extensive air showers from radio measurements