Analytically Solve Equation System
€8-30 EUR
Płatność przy odbiorze
I have the following equation system to solve.
c1 = cos(theta1),
s1 = sin(theta1),
theta2 = 0.5 * atan2(2.0*c1*m24 + 2.0*s1*m23, s1*s1*m33 + 2.0*c1*s1*m34 + c1*c1*m44 - m22) + k1*Pi/2.0,
theta3 = 0.5 * atan2(2.0*c1*m35 - 2.0*s1*m45, m55 - c1*c1*m33 + 2.0*c1*s1*m34 - s1*s1*m44) + k2*Pi/2.0,
c2 = cos(theta2),
s2 = sin(0.5 * atan2(2.0*c1*m24 + 2.0*s1*m23, s1*s1*m33 + 2.0*c1*s1*m34 + c1*c1*m44 - m22)),
c3 = cos(theta3),
s3 = sin(theta3),
0 = c1*c2*s3*m23 - s1*c2*s3*m24 - c1*c1*s2*s3*m34 + s1*s1*s2*s3*m34 - c1*s1*s2*s3*m33 + c1*s1*s2*s3*m44 + c2*c3*m25 - c1*s2*c3*m56 - s1*s2*c3*m35
Unknown is theta1
I need the solutions for
k1 = 0.0, k2 = 0.0
k1 = 0.0, k2 = 1.0
k1 = 1.0, k2 = 0.0
k1 = 1.0, k2 = 1.0
There must be two solutions for every combination of k1, k2 available. If I get a possibility to pick the real ones (depending on the mxx values) this would be perfect!
Project milesone is to solve the equation system analytically for the four cases for k1 and k2.
Numer ID Projektu: #14200994
O projekcie
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