Hi everybody, I'm tring to solve this equation without succes: omega_nf_eq
= 0
import sympy as sym
m,J_d,J_p,y,Y,omega,Omega,phi,Phi,z,Z,theta,Theta,k_yy,k_zz,k_phiphi,k_yphi,k_ztheta,k_thetatheta,plane_xy1,plane_xy2,plane_xz1,plane_xz2
=
sym.symbols('m,J_d,J_p,y,Y,omega,Omega,phi,Phi,z,Z,theta,Theta,k_yy,k_zz,k_phiphi,k_yphi,k_ztheta,k_thetatheta,plane_xy1,plane_xy2,plane_xz1,plane_xz2',
real = True)
t, omega_nf = sym.symbols('t, omega_nf', real = True)
omega_nf_eq = sym.Eq(omega_nf, -J_d**2*k_yy*k_zz*omega**4 +
0.382*J_d**2*k_yy*omega**6 + 0.382*J_d**2*k_zz*omega**6 -
0.145924*J_d**2*omega**8 + J_d*k_phiphi*k_yy*k_zz*omega**2 -
0.382*J_d*k_phiphi*k_yy*omega**4 - 0.382*J_d*k_phiphi*k_zz*omega**4 +
0.145924*J_d*k_phiphi*omega**6 + J_d*k_thetatheta*k_yy*k_zz*omega**2 -
0.382*J_d*k_thetatheta*k_yy*omega**4 - 0.382*J_d*k_thetatheta*k_zz*omega**4
+ 0.145924*J_d*k_thetatheta*omega**6 - J_d*k_yphi**2*k_zz*omega**2 +
0.382*J_d*k_yphi**2*omega**4 - J_d*k_yy*k_ztheta**2*omega**2 +
0.382*J_d*k_ztheta**2*omega**4 + J_p**2*Omega**2*k_yy*k_zz*omega**2 -
0.382*J_p**2*Omega**2*k_yy*omega**4 - 0.382*J_p**2*Omega**2*k_zz*omega**4 +
0.145924*J_p**2*Omega**2*omega**6 - k_phiphi*k_thetatheta*k_yy*k_zz +
0.382*k_phiphi*k_thetatheta*k_yy*omega**2 +
0.382*k_phiphi*k_thetatheta*k_zz*omega**2 -
0.145924*k_phiphi*k_thetatheta*omega**4 + k_phiphi*k_yy*k_ztheta**2 -
0.382*k_phiphi*k_ztheta**2*omega**2 + k_thetatheta*k_yphi**2*k_zz -
0.382*k_thetatheta*k_yphi**2*omega**2 - k_yphi**2*k_ztheta**2)
solution = sym.solve(omega_nf_eq.rhs, omega, dict = True , force=True,
manual=True, set=True)
Even after half an hour, sympy is unable to give a solution.
I also tried sage math, but I had the same failure.
Suggestions?
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