Jl. Crassidis et Fl. Markley, NEW ALGORITHM FOR ATTITUDE DETERMINATION USING GLOBAL POSITIONING SYSTEM SIGNALS, Journal of guidance, control, and dynamics, 20(5), 1997, pp. 891-896
A novel technique for finding a point-by-point (deterministic) attitud
e solution of a vehicle using Global Positioning System phase differen
ce measurements is presented. This technique transforms a general cost
function into a more numerically efficient form by determining three-
dimensional vectors in either the body or reference coordinate system.
Covariance relationships for the new algorithm, as well as methods th
at minimize the general cost function, are also derived. The equivalen
ce of the general cast function and transformed cost function is shown
for the case of orthogonal baselines or sight lines. Simulation resul
ts are shown that demonstrate the usefulness of the new algorithm and
covariance expressions.