Question

Write a computer program that takes as input two (2) rotation angles a and B (in degrees), and then calculates the DCMs C3 (a) and C1 (B), which correspond to a rotation about the 3-axis and a rotation about the 1-axis, respectively. Once you have done that, calculate the product D = C1C The program should output the following, all labeled with their names and units (if applicable): The input angles a and B C3 D It is not necessary to construct brackets around the numerical values of the matrices. Do not worry too much about how "pretty" the matrix output is, but do make sure each matrix is clearly marked with its label, numeric values, and units (if applicable) Run the code using a 125 deg. and B 75 deg. When complete,

please use matlab

Answer 1

In this solution some predefined matlab functions are used. For more information, refer to matlab online library or drop a comment below. Please give a Thumbs Up, if solution is helpful.

Solution :

The code for the required task is given below along with the test results for the given input

a=125

B75

Matlab Code :

clear;
clc;

a = input('Please Enter the value for Alpha (in degree)  : ');
b = input('Please Enter the value for Beta (in degree)   : ');

a1 = pi*a/180; % converting to radians
b1 = pi*b/180; % converting to radians

C3 = angle2dcm(a1,a1,a1); % Three axis Rotation
C1 = angle2dcm(b1,0,0); % One axis Rotation
D = C1*C3; % Product D

fprintf('\n The Results are as follows : \n')

fprintf('\n Angle Alpha   =  ')
disp([num2str(a),' Degree'])

fprintf('\n Angle Beta   =  ')
disp([num2str(b),' Degree'])

fprintf('\n DCM C3(a)   =  ')
C3

fprintf('\n DCM C1(b)  ')
C1

fprintf('\n Product D (C1*C3)  =   ')
D

Test Results :

Command Window Please Enter the value for Alpha (in degree) 125 : 75 Please Enter the value for Beta (in degree)

Command Window The Results are as follows 125 Degree Angle Alpha Angle Beta 75 Degree = DCM C3 (a) C3= -0.4698 0.3290 -0.8192 0.0850 -0.4698 0.8786 0.9405 0.0850 0.3290 DCM C1 (b) C1 = 0.2588 0.9659 -0.9659 0.2588 0 0 1.0000 Product D (C1 C3) D = 0.1672 0.7271 -0.6658 -0.2958 0.6812 0.6696 fx 0.9405 0.0850 0.3290

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