📄 dcmnbgen.m
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function DCMnb_prof = dcmnbgen(tc_prof)
%DCMNBGEN Function to generate a direction cosine matrix
% (nav-frame to body-frame) profile for a constant
% altitude, constant velocity flight path.
%
% Although the emulated flight path is essentially
% straight-and-level, the DCMnb profile accounts
% for the course changes (as given by TC_PROF) which
% are required at each waypoint on the great
% circle route.
%
% DCMnb_prof = dcmnbgen(tc_prof)
%
% INPUTS
% tc_prof = profile of true course from each waypoint
% on the great circle route (radians relative
% to north; east directions are positive)
%
% OUTPUTS
% DCMnb_prof(i,1:9) = elements of the direction cosine matrix
% (DCM) for vehicle attitude (nav to body);
% 1 = DCM(1,1), 2 = DCM(1,2), 3 = DCM(1,3),
% 4 = DCM(2,1), et cetera
%
% M. & S. Braasch 6-98
% Copyright (c) 1998 by GPSoft LLC
% All Rights Reserved.
%
if nargin<1,error('insufficient number of input arguments'),end
for i = 1:max(size(tc_prof)),
dcmnb = eulr2dcm([0 0 tc_prof(i)]);
DCMnb_prof(i,1) = dcmnb(1,1);
DCMnb_prof(i,2) = dcmnb(1,2);
DCMnb_prof(i,3) = dcmnb(1,3);
DCMnb_prof(i,4) = dcmnb(2,1);
DCMnb_prof(i,5) = dcmnb(2,2);
DCMnb_prof(i,6) = dcmnb(2,3);
DCMnb_prof(i,7) = dcmnb(3,1);
DCMnb_prof(i,8) = dcmnb(3,2);
DCMnb_prof(i,9) = dcmnb(3,3);
end
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