3 papers
astro-ph.EP2024
Numerical behavior of the Keplerian Integral methods for initial orbit determination
Óscar Rodríguez, Giovanni F. Gronchi, Giulio Baù +1
We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the l…
astro-ph.IM2024
Linking tracklets over the years in large datasets
Óscar Rodríguez, Giovanni F. Gronchi, Giulio Baù +1
We present a new procedure to identify observations of known objects in large data sets of unlinked detections. It begins with a Keplerian integrals method that allows us to link t…
math-ph2023
Revisiting the computation of the critical points of the Keplerian distance
Giovanni F. Gronchi, Giulio Baù, Clara Grassi
We consider the Keplerian distance in the case of two elliptic orbits, i.e. the distance between one point on the first ellipse and one point on the second one, assuming they h…