Dr. Jeff Aristoff, Numerica Corp.
Mathematical Challenges in Space Situational Awareness
Space Situational Awareness (SSA) is the comprehensive
of the near-Earth space environment accomplished through the
identification of Earth-orbiting space objects (satellites,
to protect space assets and maintain awareness of potentially
space deployments. Fundamental to SSA are the problems of
association (correlation), nonlinear estimation (data fusion),
analysis (probability of collision), and maneuver detection.
amongst these challenges is the need to predict the future
location of an
orbiting object (i.e., orbit propagation) while correctly managing
representing its uncertainty.
Efficiently and accurately modeling trajectories of the vast
objects in orbit around the Earth is difficult because the
motion are nonlinear, the infrequency of observations may require
trajectories over long periods of time, and the number of objects
modeled is on the order of 10^5 and growing owing to object
improved sensors. In this talk, I will present a new technique for
propagating orbits in the presence of uncertain initial conditions
dynamics, and demonstrate how this technique can be applied to
that arise in other fields. The broader mathematical challenges in
will also be discussed.