Initial Relative Orbit Determination Using Heterogeneous TDOA
IEEE Aerospace Conference
Big Sky, MT
This paper presents a solution for the initial orbit determination of a space-based RF transmitter using time-difference-of-arrival (TDOA) measurements obtained from space-based receivers in known orbits. Orbit determination requires six independent TDOA measurements spread over time. The TDOA measurement can be expressed as a quadratic equation for the instantaneous transmitter position. The orbital motion of the transmitter is linearized relative to a reference orbit, which allows the TDOA measurement to be transformed to a quadratic equation for the relative position and velocity components at a chosen initial time. The system of six quadratic equations are solved using homotopy continuation.
S. Shuster, A. Sinclair, A. Lovell, "Initial Relative Orbit Determination Using Heterogeneous TDOA", IEEE Aerospace Conference, Big Sky, MT, March, 2017.