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Projective Plane Subdivision Method For Initial Orbit Determination
Ruiqi Huang, Anton Leykin, Michela Mancini
Initial Orbit Determination (IOD) is the classical problem of estimating the orbit of a body in space without any presumed information about the orbit. The geometric formulation of…
On the Intersection of Two Conics
Michela Mancini, John A. Christian
Finding the intersection of two conics is a commonly occurring problem. For example, it occurs when identifying patterns of craters on the lunar surface, detecting the orientation…
Solving the Gibbs Problem with Algebraic Projective Geometry
Michela Mancini, John A. Christian
Orbit determination (OD) from three position vectors is one of the classical problems in astrodynamics. Early contributions to this problem were made by J. Willard Gibbs in the lat…
State estimation of a moving frequency source from observations at multiple receivers
Michela Mancini, Anton Leykin, John A. Christian
The task of position and velocity estimation of a moving transmitter (with either a known or unknown frequency) is a common problem arising in many different application domains. B…