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Here we revisit an initial orbit determination method introduced by O. F.Mossotti employing four geocentric sky-plane observations and a linear equationto compute the angular momentum of the observed body. We then extend the methodto topocentric observations, yielding a quadratic equation for the angularmomentum. The performance of the two versions are compared through numericaltests with synthetic asteroid data using different time intervals betweenconsecutive observations and different astrometric errors. We also show acomparison test with Gauss's method using simulated observations with theexpected cadence of the VRO-LSST telescope.

Generalization of a method by Mossotti for initial orbit determination