Title

Initial Relative Orbit Determination Using Heterogeneous TDOA

Document Type

Conference Paper

Journal/Book Title/Conference

IEEE Aerospace Conference

Publisher

IEEE

Location

Big Sky, MT

Publication Date

3-4-2017

DOI

10.1109/AERO.2017.7943779

Abstract

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.

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