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

Generalization of a method by Mossotti for initial orbit determination

Giovanni Federico Gronchi
;
Giulio Baù;Óscar Rodríguez;Robert Jedicke;
2021-01-01

Abstract

Here, we revisit an initial orbit determination method introduced by O. F. Mossotti employing four geocentric sky-plane observations and a linear equation to compute the angular momentum of the observed body. We then extend the method to topocentric observations, yielding a quadratic equation for the angular momentum. The performance of the two versions is compared through numerical tests with synthetic asteroid data using different time intervals between consecutive observations and different astrometric errors. We also show a comparison test with Gauss's method using simulated observations with the expected cadence of the VRO-LSST telescope.
2021
Gronchi, GIOVANNI FEDERICO; Baù, Giulio; Rodríguez, Óscar; Jedicke, Robert; Moeyens, Joachim
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1113170
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