📄 ned2azel.m
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function [az, el] = ned2azel(ned)
% [az, el] = ned2azel(ned);
%
% Function to convert a North, East, Down vector into azimuth and elevation.
%
% Input:
% ned - vector in north, east, and down coordinates (nx3)
% (or could be used with any other coordinate system
% where north and east are two local-level unit vectors such
% that north x east = down, e.g., an aircraft navigation frame
% or a satellite local-level frame)
% Output:
% az - azimuth (rad) (nx1): rotation of vector in local North-East
% plane, clockwise positive beginning at North, 0 <= az < 2*pi
% el - elevation (rad) (nx1): angle of vector above North-East plane,
% positive for a vector with a negative down component (i.e.,
% positive up component), -pi/2 <= el <= pi/2
%
% See also AZEL2NED, NED2BODY, BODY2NED, ECEF2NED, NED2ECEF
% Written by: Jimmy LaMance 10/24/96
% Copyright (c) 1998 by Constell, Inc.
% functions called: ERR_CHK
%%%%% BEGIN VARIABLE CHECKING CODE %%%%%
% declare the global debug mode
global DEBUG_MODE
% Initialize the output variables
az=[]; el=[];
% Check the number of input arguments and issues a message if invalid
msg = nargchk(1,1,nargin);
if ~isempty(msg)
fprintf('%s See help on NED2AZEL for details.\n',msg);
fprintf('Returning with empty outputs.\n\n');
return
end
% Get the current Matlab version
matlab_version = version;
matlab_version = str2num(matlab_version(1));
% If the Matlab version is 5.x and the DEBUG_MODE flag is not set
% then set up the error checking structure and call the error routine.
if matlab_version >= 5.0
estruct.func_name = 'NED2AZEL';
% Develop the error checking structure with required dimension, matching
% dimension flags, and input dimensions.
estruct.variable(1).name = 'ned';
estruct.variable(1).req_dim = [901 3];
estruct.variable(1).var = ned;
% Call the error checking function
stop_flag = err_chk(estruct);
if stop_flag == 1
fprintf('Invalid inputs to %s. Returning with empty outputs.\n\n', ...
estruct.func_name);
return
end % if stop_flag == 1
end % if matlab_version >= 5.0 & isempty(DEBUG_MODE)
%%%%% END VARIABLE CHECKING CODE %%%%%
%%%%% BEGIN ALGORITHM CODE %%%%%
% azimuth is defined from north, therefore atan2(E/N)
az = atan2(ned(:,2),ned(:,1)); % azimuth (rad)
% Convert azimuths to be between 0 and 2*pi
I_neg_az = find(az < 0);
if ~isempty(I_neg_az)
az(I_neg_az) = az(I_neg_az) + 2*pi;
end % if ~isempty(I_neg_az)
% elevation is defined from the local level (N-E) plane positive in the up
% (-D) direction
north_east_mag = sqrt(ned(:,1).^2 + ned(:,2).^2); % magnitude in the N-E plane
el = atan2(-ned(:,3), north_east_mag); % elevation (rad)
%%%%% END ALGORITHM CODE %%%%%
% end NED2AZEL
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