get_radius_normal normal along the prime vertical section ellipsoidal radius of curvature Inputs ------ lat: geodetic latitude in Radians ell: referenceEllipsoid() struct Outputs ------- N: normal along the prime vertical section ellipsoidal radius of curvature, at a given geodetic latitude.
0001 function N = get_radius_normal(lat, E) 0002 %get_radius_normal normal along the prime vertical section ellipsoidal radius of curvature 0003 % 0004 % 0005 % Inputs 0006 % ------ 0007 % lat: geodetic latitude in Radians 0008 % ell: referenceEllipsoid() struct 0009 % 0010 % Outputs 0011 % ------- 0012 % N: normal along the prime vertical section ellipsoidal radius of curvature, at a given geodetic latitude. 0013 0014 N = E.SemimajorAxis^2 ./ sqrt( E.SemimajorAxis^2 .* cos(lat).^2 + E.SemiminorAxis^2 .* sin(lat).^2 ); 0015 end 0016 0017 % Copyright (c) 2014-2018 Michael Hirsch, Ph.D. 0018 % Copyright (c) 2013, Felipe Geremia Nievinski 0019 % 0020 % Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 0021 % 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 0022 % 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 0023 % THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.