26 citations · 95 across the 14 of their papers we have counts for
15 papers
A novel conjunction filter based on the minimum distance between perturbed trajectories
Ana S. Rivero, Giulio Baù, Rafael Vazquez +1
The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minim…
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…
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…
Orbit determination from one position vector and a very short arc of optical observations
Erica Scantamburlo, Giovanni F. Gronchi, Giulio Baù
In this paper we address the problem of computing a preliminary orbit of a celestial body from one topocentric position vector and a very short arc (VSA) of optical observations. U…
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…
A dynamical definition of the sphere of influence of the Earth
Irene Cavallari, Clara Grassi, Giovanni F. Gronchi +2
The concept of sphere of influence of a planet is useful in both the context of impact monitoring of asteroids with the Earth and of the design of interplanetary trajectories for s…
Near-Linear Orbit Uncertainty Propagation in the Perturbed Two-Body Problem
Javier Hernando-Ayuso, Claudio Bombardelli, Giulio Baù +1
The paper addresses the problem of minimizing the impact of non-linearities when dealing with uncertainty propagation in the perturbed two-body problem. The recently introduced gen…
A generalization of the equinoctial orbital elements
Giulio Baù, Javier Hernando-Ayuso, Claudio Bombardelli
We introduce six quantities that generalize the equinoctial orbital elements when some or all the perturbing forces that act on the propagated body are derived from a disturbing po…
Generalization of a method by Mossotti for initial orbit determination
Giovanni F. Gronchi, Giulio Baù, Óscar Rodríguez +2
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 mom…
On the Sun-shadow dynamics
Irene Cavallari, Giovanni Federico Gronchi, Giulio Bau'
We investigate the planar motion of a mass particle in a force field defined by patching Kepler's and Stark's dynamics. This model is called Sun-shadow dynamics, referring to the m…
Uniform formulation for orbit computation: the intermediate elements
Giulio Baù, Javier Roa
We present a new method for computing orbits in the perturbed two-body problem: the position and velocity vectors of the propagated object in Cartesian coordinates are replaced by…
Non-averaged regularized formulations as an alternative to semi-analytical orbit propagation methods
Davide Amato, Claudio Bombardelli, Giulio Baù +2
This paper is concerned with the comparison of semi-analytical and non-averaged propagation methods for Earth satellite orbits. We analyse the total integration error for semi-anal…
Preliminary orbits with line-of-sight correction for LEO satellites observed with radar
Helene Ma, Giovanni F. Gronchi, Davide Bracali Cioci
We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement…
Keplerian integrals, elimination theory and identification of very short arcs in a large database of optical observations
Giovanni Federico Gronchi, Giulio Bau, Andrea Milani
The modern optical telescopes produce a huge number of asteroid observations, that are grouped into very short arcs (VSAs), each containing a few observations of the same object in…
Orbit Determination with the two-body Integrals. III
Giovanni F. Gronchi, Giulio Bau', Stefano Maro'
We present the results of our investigation on the use of the two-body integrals to compute preliminary orbits by linking too short arcs of observations of celestial bodies. This w…