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A Novel Initial Orbit Determination Algorithm from Doppler and Angular Observations

Carlos Yanez1,Flavien Mercier1,Juan Carlos Dolado1

Document details

Publishing year2017 PublisherESA Space Debris Office Publishing typeConference Name of conference7th European Conference on Space Debris
Pagesn/a Volume
T. Flohrer, F. Schmitz


Space Situational Awareness (SSA) refers to the ability to view, understand and predict the physical location of natural and manmade objects in orbit around the Earth. While the ability to view is made possible thanks to ground and space based sensors (e.g. Radars, Telescopes or Lasers) the ability to understand and predict the physical location of objects needs the determination of their orbital state vectors, which uniquely determine the trajectory of the object in space.
For the determination of the orbital state of an object, mainly two different situations have to be considered. Either the object is already known (i.e. it is regularly observed by sensors and an a priori state vector exists) or the object has been newly discovered by a so-called surveillance sensor. In the first case, the problem is already well known and the a-priori orbital state of the object can be updated thanks to the new gathered observations and a Least-Squares (LS) or an Extended Kalman Filter (EKF) filtering approach. In the second case, an a-priori orbital state have to be computed from the gathered observations, in order to predict the position of the newly detected object at short term and to improve the orbit thanks to the acquisition on new observations from surveillance and/or tracking sensors.
On this paper we interest ourselves to the second problem, and in particular we develop a novel numerical method for solving the initial orbit determination (IOD) problem in the frame of space debris surveillance systems. Differently from classical IOD methods, where three sets of angles ([1]-[3]) or two position vectors are used (i.e., the Lambert problem, [4]-[6]), the method presented in this paper makes use of N Doppler measurements along with their associated pairs of angular measurements coming from an Earth-based radar station. Numerical results are presented for objects in three different Low Earth Orbits showing the accuracy and performances obtained by this method.
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