A method for generating accurate estimates of a radar target's azimuth and elevation angles for a rotating monopulse radar comprising the steps of: measuring an antenna's one-way transmit pattern and three receive antenna patterns; generating two-way Sum, Delta-Azimuth and Delta- Elevation antenna patterns; translating the coordinates of two-way Sum, Delta- Azimuth and Delta-Elevation antenna patterns to center on a sine-space beam steer (U beam, V beam); sampling uniformly the two-way antenna patterns at mid points during the coherent processing interval, mid-CPI points, of numerous target returns; coherently integrating over the sine-space trajectories of said target returns; averaging coherent integration sums of said target returns and plotting said averages at their respective mid-CPI points to produce average gain antenna patterns for a range of monpulse offset angles (U offset, V offset) in sine-space; generating U-offset and V-offset scan modulated coherently integrated, SMCI, monopulse curves from average gain patterns; coherently integrating said two-way Sum, Delta- Azimuth and Delta-Elevation target returns of said antenna patterns; calculating the target's monopulse ratios from said coherently integrated target return measurements; calculating the target's U-offset and V-offset monopulse angles (U offset, V offset) in sine-space using said SMCI monopulse curves; adding said U-offset and V-offset monopulse angles (U offset. V offset) to a sine-space beam steer (U beam, V beam) to obtain an improved estimate of a target's sine-space position denoted as U tgt and V tgt; and transforming said U tgt and V tgt to azimuth and elevation angles in a non-rotating coordinate system using coordinate system transformations. measuring an antenna's one-way transmit pattern and three receive antenna patterns; generating two-way Sum, Delta-Azimuth and Delta- Elevation antenna patterns; translating the coordinates of two-way Sum, Delta- Azimuth and Delta-Elevation antenna patterns to center on a sine-space beam steer (U beam, V beam); sampling uniformly the two-way antenna patterns at mid points during the coherent processing interval, mid-CPI points, of numerous target returns; coherently integrating over the sine-space trajectories of said target returns; averaging coherent integration sums of said target returns and plotting said averages at their respective mid-CPI points to produce average gain antenna patterns for a range of monpulse offset angles (U offset, V offset) in sine-space; generating U-offset and V-offset scan modulated coherently integrated, SMCI, monopulse curves from average gain patterns; coherently integrating said two-way Sum, Delta- Azimuth and Delta-Elevation target returns of said antenna patterns; calculating the target's monopulse ratios from said coherently integrated target return measurements; calculating the target's U-offset and V-offset monopulse angles (U offset, V offset) in sine-space using said SMCI monopulse curves; adding said U-offset and V-offset monopulse angles (U offset. V offset) to a sine-space beam steer (U beam, V beam) to obtain an improved estimate of a target's sine-space position denoted as U tgt and V tgt; and transforming said U tgt and V tgt to azimuth and elevation angles in a non-rotating coordinate system using coordinate system transformations.