I am relatively new to MATLAB and would appreciate if somebody can help me with the following scenario. The main objective of the scenario is to obtain the angles between two objects.
The first object (Object A) is a rigid cube with a fixed position in space. However, Object A is allowed to rotate around its Z-axis (yaw). The second object (Object B) is treated as a light source that travels on a circular path above Object A at a constant rate of 0.1 deg/s.
I am supposed to initiate a 180-degree Yaw manoeuvre for object A as soon as Object B is located at 75 degrees above the horizon (assuming the side located at +ve X of the cube points at the horizon and it is aligned with the path of Object B). The manoeuvre should be performed at constant yaw rate and should be completed once the Object B reaches 75 degrees on the other side. I.e. the manoeuvre starts when Object B is at 75 degrees above the horizon and lasts throughout the whole duration of climb to 90 degrees and fall until it reaches 75 degrees again.
I have written a very simple code for that in order to find the time required and yaw rate:
%% input %%
Obj_A=75; % degrees to initiate yaw %
Obj_B=0.1; % deg/s %
Yaw_m=180; % magnitude of manoeuvre (degrees) %
%% Calcs %%
delta=90-Obj_A; % Delta A elevation %
Period=(2*delta/Obj_B); % yaw period in seconds (the 2 is to ensure climb and fall duration) %
Yaw_r=Yaw_m/Period; % yaw rate in deg/s %
EL_rate=[Obj_A:Obj_B:90]; % climb %
EL_rate_f=[EL_rate flip(EL_rate)]; % climb + fall %
duration=[0:length(EL_rate_f)-1]; % Yaw duration in seconds %
Based on the data obtained, I need to find the angles between the light source (Object B) and the faces of the cube (all six faces of Object A) during the rotation.
It can be assumed that the distance between the objects is much greater in comparison with their sizes. Thus, I just need the incidence angle of the light source on each of the faces throughout the duration of the manoeuvre. Also, I am not interested in the time when Object B is below 75 degrees.
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