Problem in converting Mathematica code to Matlab form
古いコメントを表示
Hi greetings all, I'm Aaron and this is the code in Mathematica form :
{L, Subscript[M, p], \[Rho], A, Subscript[M, mm], \[Mu], Eo,
Subscript[r, p], Subscript[r, m], n, \[Tau]} = {10000, 1000, 970,
62.83*10^-6, 5000, 3.9877848*10^14, 113*10^9, 0.5, 0.5, 5, 0};
Subscript[T, 0] = 0;
Subscript[r, T] = Sqrt[(A/\[Pi])];
R[t] = 6728000;
R'[t] = 0;
R''[t] = 0;
\[Theta]'[t] = Sqrt[(\[Mu]/R[t]^3)];
\[Theta][t] = \[Theta]'[t]*t;
\[Theta]''[t] = 0;
P = (2*\[Pi])/\[Theta]'[t]
eqns1 = (L \[Mu] R[t] Sin[\[CurlyPhi][t]] Subscript[M,
p])/(L^2 - 2 L Cos[\[CurlyPhi][t]] R[t] + R[t]^2)^(3/2) - (
L \[Mu] R[t] Sin[\[CurlyPhi][t]] Subscript[M,
p])/(L^2 + 2 L Cos[\[CurlyPhi][t]] R[t] + R[t]^2)^(3/2) - \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(n\)]\(-
\*FractionBox[\(A\ \((\(-1\) + 2\ i)\)\
\*SuperscriptBox[\(L\), \(2\)]\ \[Mu]\ \[Rho]\ R[
t]\ Sin[\[CurlyPhi][t]]\), \(2\
\*SuperscriptBox[\(n\), \(2\)]\
\*SuperscriptBox[\((
\*FractionBox[\(
\*SuperscriptBox[\((\(-1\) + 2\ i)\), \(2\)]\
\*SuperscriptBox[\(L\), \(2\)]\), \(4\
\*SuperscriptBox[\(n\), \(2\)]\)] -
\*FractionBox[\(\((\(-1\) + 2\ i)\)\ L\ Cos[\[CurlyPhi][t]]\ R[
t]\), \(n\)] +
\*SuperscriptBox[\(R[t]\), \(2\)])\), \(3/2\)]\)]\)\) - \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(n\)]
\*FractionBox[\(A\ \((\(-1\) + 2\ i)\)\
\*SuperscriptBox[\(L\), \(2\)]\ \[Mu]\ \[Rho]\ R[
t]\ Sin[\[CurlyPhi][t]]\), \(2\
\*SuperscriptBox[\(n\), \(2\)]\
\*SuperscriptBox[\((
\*FractionBox[\(
\*SuperscriptBox[\((\(-1\) + 2\ i)\), \(2\)]\
\*SuperscriptBox[\(L\), \(2\)]\), \(4\
\*SuperscriptBox[\(n\), \(2\)]\)] +
\*FractionBox[\(\((\(-1\) + 2\ i)\)\ L\ Cos[\[CurlyPhi][t]]\ R[
t]\), \(n\)] +
\*SuperscriptBox[\(R[t]\), \(2\)])\), \(3/2\)]\)]\) + (
4 A L^2 \[Rho] Derivative[1][q1][t] Derivative[1][\[Theta]][
t])/\[Pi] +
2 A L \[Rho] q1[t] Derivative[1][q1][t] Derivative[1][\[Theta]][
t] +
2 A L \[Rho] q2[t] Derivative[1][q2][t] Derivative[1][\[Theta]][
t] + (4 A L^2 \[Rho] Derivative[1][q1][t] Derivative[
1][\[CurlyPhi]][t])/\[Pi] +
2 A L \[Rho] q1[t] Derivative[1][q1][t] Derivative[1][\[CurlyPhi]][
t] + 2 A L \[Rho] q2[t] Derivative[1][q2][t] Derivative[
1][\[CurlyPhi]][t] -
A L \[Rho] q2[t] (q1^\[Prime]\[Prime])[t] + (
2 A L^2 \[Rho] (q2^\[Prime]\[Prime])[t])/\[Pi] +
A L \[Rho] q1[t] (q2^\[Prime]\[Prime])[t] +
5/6 A L^3 \[Rho] (\[Theta]^\[Prime]\[Prime])[t] + (
4 A L^2 \[Rho] q1[t] (\[Theta]^\[Prime]\[Prime])[t])/\[Pi] +
A L \[Rho] q1[t]^2 (\[Theta]^\[Prime]\[Prime])[t] +
A L \[Rho] q2[t]^2 (\[Theta]^\[Prime]\[Prime])[t] +
2 L^2 Subscript[M, p] (\[Theta]^\[Prime]\[Prime])[t] +
1/2 Subscript[M, mm]
\!\(\*SubsuperscriptBox[\(r\), \(m\), \(2\)]\) (\[Theta]^\[Prime]\
\[Prime])[t] + Subscript[M, p]
\!\(\*SubsuperscriptBox[\(r\), \(p\), \(2\)]\) (\[Theta]^\[Prime]\
\[Prime])[t] + 1/2 A L \[Rho]
\!\(\*SubsuperscriptBox[\(r\), \(T\), \(2\)]\) (\[Theta]^\[Prime]\
\[Prime])[t] + 5/6 A L^3 \[Rho] (\[CurlyPhi]^\[Prime]\[Prime])[t] + (
4 A L^2 \[Rho] q1[t] (\[CurlyPhi]^\[Prime]\[Prime])[t])/\[Pi] +
A L \[Rho] q1[t]^2 (\[CurlyPhi]^\[Prime]\[Prime])[t] +
A L \[Rho] q2[t]^2 (\[CurlyPhi]^\[Prime]\[Prime])[t] +
2 L^2 Subscript[M, p] (\[CurlyPhi]^\[Prime]\[Prime])[t] +
1/2 Subscript[M, mm]
\!\(\*SubsuperscriptBox[\(r\), \(m\), \(2\)]\) (\[CurlyPhi]^\[Prime]\
\[Prime])[t] + Subscript[M, p]
\!\(\*SubsuperscriptBox[\(r\), \(p\), \(2\)]\) (\[CurlyPhi]^\[Prime]\
\[Prime])[t] + 1/2 A L \[Rho]
\!\(\*SubsuperscriptBox[\(r\), \(T\), \(2\)]\) (\[CurlyPhi]^\[Prime]\
\[Prime])[t] - \[Tau];
eqnu1 = (A Eo \[Pi]^2 q1[t])/L - (3 A Eo \[Pi]^4 q1[t] q2[t]^2)/(
4 L^3) + (15 \[Pi]^4 q1[t]^3 Subscript[T, 0])/(8 L^3) + (
3 \[Pi]^4 q1[t] q2[t]^2 Subscript[T, 0])/(4 L^3) -
2 A L \[Rho] Derivative[1][q2][t] Derivative[1][\[Theta]][t] - (
2 A L^2 \[Rho] Derivative[1][\[Theta]][t]^2)/\[Pi] -
A L \[Rho] q1[t] Derivative[1][\[Theta]][t]^2 -
2 A L \[Rho] Derivative[1][q2][t] Derivative[1][\[CurlyPhi]][t] - (
4 A L^2 \[Rho] Derivative[1][\[Theta]][t] Derivative[
1][\[CurlyPhi]][t])/\[Pi] -
2 A L \[Rho] q1[t] Derivative[1][\[Theta]][t] Derivative[
1][\[CurlyPhi]][t] - (
2 A L^2 \[Rho] Derivative[1][\[CurlyPhi]][t]^2)/\[Pi] -
A L \[Rho] q1[t] Derivative[1][\[CurlyPhi]][t]^2 +
A L \[Rho] (q1^\[Prime]\[Prime])[t] -
A L \[Rho] q2[t] (\[Theta]^\[Prime]\[Prime])[t] -
A L \[Rho] q2[t] (\[CurlyPhi]^\[Prime]\[Prime])[t];
eqnv1 = -((3 A Eo \[Pi]^4 q1[t]^2 q2[t])/(4 L^3)) + (
3 A Eo \[Pi]^4 q2[t]^3)/(8 L^3) + (\[Pi]^2 q2[t] Subscript[T, 0])/
L + (3 \[Pi]^4 q1[t]^2 q2[t] Subscript[T, 0])/(4 L^3) - (
3 \[Pi]^4 q2[t]^3 Subscript[T, 0])/(8 L^3) +
2 A L \[Rho] Derivative[1][q1][t] Derivative[1][\[Theta]][t] -
A L \[Rho] q2[t] Derivative[1][\[Theta]][t]^2 +
2 A L \[Rho] Derivative[1][q1][t] Derivative[1][\[CurlyPhi]][t] -
2 A L \[Rho] q2[t] Derivative[1][\[Theta]][t] Derivative[
1][\[CurlyPhi]][t] -
A L \[Rho] q2[t] Derivative[1][\[CurlyPhi]][t]^2 +
A L \[Rho] (q2^\[Prime]\[Prime])[t] + (
2 A L^2 \[Rho] (\[Theta]^\[Prime]\[Prime])[t])/\[Pi] +
A L \[Rho] q1[t] (\[Theta]^\[Prime]\[Prime])[t] + (
2 A L^2 \[Rho] (\[CurlyPhi]^\[Prime]\[Prime])[t])/\[Pi] +
A L \[Rho] q1[t] (\[CurlyPhi]^\[Prime]\[Prime])[t];
system1 =
NDSolve[{eqns1 == 0, eqnu1 == 0,
eqnv1 == 0, \[CurlyPhi][0] == -0.9, \[CurlyPhi]'[0] == 0,
q1[0] == 0, Derivative[1][q1][0] == 0, q2[0] == 0,
Derivative[1][q2][0] == 0}, { \[CurlyPhi], q1, q2}, {t, 0,
54908.9}, MaxSteps -> Infinity];
Plot[Evaluate[ \[CurlyPhi][t] /. system1], {t, 0, 54908.9},
Frame -> True, LabelStyle -> Directive[12],
FrameTicks -> {{All,
None}, {All, {{0, "0"}, {10981.8, "2"}, {21963.6, "4"}, {32945.4,
"6"}, {43927.1, "8"}, {54908.9, "10"}}}},
FrameLabel -> {{"Angular Displacement (rad)", None}, {"time (s)",
"Number of Orbits"}}]
The plot generated shows a sinusoidal wave.
However when I tried using MATLAB, the result is different.I did it in two m.files, 1 to generate the 3 equations and second to generate it with all the parameters and initial conditions based on that in Mathematica.
Here's the first program for the 3 equations:
-1st m file -
syms L1 L M1 M2 MM Mr R Rdot Ldot thdot L psi psidot p A sp spdot k q1 q2 q1dot q2dot i U mu MP N pTpsidot pTthdot pTRdot pTq1dot pTq2dot pTspdot T T1 MP r rp rm ...
psidotdot thdotdot Rdotdot q1dotdot q2dotdot spdotdot th eqn E
syms a b c d e f g h i j x q1 q1dot q2 q2dot v v2 v1 v3 v4 v5 pTpzdot L psidot thdot Rdot A psi th R Ldot l m n l1 eqn J O1 Z t
MP = 1000;
MM = 5000;
rp=0.5;
rm=0.5;
rt=sqrt(A/pi);
L=10000;
A = 62.83e-6;
p=970;
R = 6728000;
mu=3.9877848e14;
psidot=v;
thdot=sqrt(mu/R^3);
th=thdot*t;
thdotdot=0;
q1dot=v1;
q2dot=v2;
T1 = 0;
q1dotdot=((psidot^2 + thdot^2)*((2*A*p*L^2)/pi + A*p*q1*L) + psidot*thdot*((4*A*p*L^2)/pi + 2*A*p*q1*L) - (15*pi^4*T1*q1^3)/(8*L^3) + 2*A*L*p*q2dot*(psidot + thdot) + A*L*p*psidotdot*q2 + A*L*p*q2*thdotdot - (3*pi^4*T1*q1*q2^2)/(4*L^3) - (A*E*pi^2*q1)/L + (3*A*E*pi^4*q1*q2^2)/(4*L^3))/(A*L*p);
q2dotdot=-(psidotdot*((2*A*p*L^2)/pi + A*p*q1*L) + thdotdot*((2*A*p*L^2)/pi + A*p*q1*L) + (pi^2*T1*q2)/L + (3*pi^4*T1*q2^3)/(8*L^3) + (3*A*E*pi^4*q2^3)/(8*L^3) + 2*A*L*p*q1dot*(psidot + thdot) + (3*pi^4*T1*q1^2*q2)/(4*L^3) - A*L*p*q2*(psidot^2 + thdot^2) - (3*A*E*pi^4*q1^2*q2)/(4*L^3) - 2*A*L*p*psidot*q2*thdot)/(A*L*p);
eqn=(-((1635145827292621704869707776*sin(psi))/(45266009000000 - 67280000000*cos(psi))^(3/2) - (1635145827292621704869707776*sin(psi))/(67280000000*cos(psi) + 45266009000000)^(3/2) + (3536187090560733460379109439245*q1*q1dot)/2535301200456458802993406410752 + (3536187090560733460379109439245*q2*q2dot)/2535301200456458802993406410752 + (670098461059711*q1*q2dotdot)/1099511627776 - (670098461059711*q2*q1dotdot)/1099511627776 + (11446020791048351934087954432*sin(psi))/(5*(45266033000000 - 94192000000*cos(psi))^(3/2)) - (11446020791048351934087954432*sin(psi))/(5*(94192000000*cos(psi) + 45266033000000)^(3/2)) + (34533077056257166739306426900595*q1dot)/(1237940039285380274899124224*pi) + (6543930283786241*q2dotdot)/(536870912*pi) + (1635145827292621704869707776*sin(psi))/(5*(45265985000000 - 13456000000*cos(psi))^(3/2)) - (1635145827292621704869707776*sin(psi))/(5*(13456000000*cos(psi) + 45265985000000)^(3/2)) + (14716312445633595343827369984*sin(psi))/(5*(45266065000000 - 121104000000*cos(psi))^(3/2)) - (14716312445633595343827369984*sin(psi))/(5*(121104000000*cos(psi) + 45266065000000)^(3/2)) + (26829816134400001844159971328*sin(psi))/(45266084000000 - 134560000000*cos(psi))^(3/2) - (26829816134400001844159971328*sin(psi))/(134560000000*cos(psi) + 45266084000000)^(3/2) + (4905437481877865114609123328*sin(psi))/(5*(45265993000000 - 40368000000*cos(psi))^(3/2)) - (4905437481877865114609123328*sin(psi))/(5*(40368000000*cos(psi) + 45265993000000)^(3/2)) + (670098461059711*q1*q1dot*v)/549755813888 + (670098461059711*q2*q2dot*v)/549755813888 + (6543930283786241*q1dot*v)/(268435456*pi) - 250000)/((670098461059711*q1^2)/1099511627776 + (6543930283786241*q1)/(268435456*pi) + (670098461059711*q2^2)/1099511627776 + 867415196766585088138746892117/3458764513820540928)==0);
psidotdot=solve(eqn,psidotdot)
q1dotdot=subs(q1dotdot)
q2dotdot=subs(q2dotdot)
-------------------------------
Now the psidotdot , q1dotdot and q2dotdot attained are then "copy and paste" from the command window and inserted into the 2nd m.file under dydt=[ ];
-2nd m file -
function [t,psi]=norilmi3
tic
psi = -0.9;v = 0; q1=0;v1=0;q2=0;v2=0;% initial conditions
initial=[psi,v,q1,v1,q2,v2];
options=odeset('RelTol',1e-6,'RelTol',1e-10);
[t,Y] = ode45(@f,[0,30000],initial,options);
psi= Y(:,1); v = Y(:,2);q1= Y(:,3); v1 = Y(:,4);q2=Y(:,5); v2=Y(:,6);
figure(1); plot (t,psi);
%end
%-----------------------------------------
function dYdt = f(t,Y)
E=113*10^9;
psi = Y(1); v= Y(2); q1=Y(3);v1=Y(4);q2= Y(5); v2=Y(6);
dYdt = [ v;
((7851912654645540864*v1)/884279719003555 + (1635145827292621704869707776*sin(psi))/(45266009000000 - 67280000000*cos(psi))^(3/2) - (1635145827292621704869707776*sin(psi))/(67280000000*cos(psi) + 45266009000000)^(3/2) + (392595632732277*q1*v1)/281474976710656 + (6906615411251433347861285380119*q2*v)/777820666600722111024594944 + (392595632732277*q2*v2)/281474976710656 + (6861808241251441442816*v*v1)/884279719003555 + (670098461059711*q1*((5277115671879795*q2*v)/2305843009213693952 + q2*(v^2 + 96616984601725/73786976294838206464) - (23833472788701093618994857457*E*q2^3)/6328901025461818692744670214422003712000000000 - 2*v1*(v + 5277115671879795/4611686018427387904) + (23833472788701093618994857457*E*q1^2*q2)/3164450512730909346372335107211001856000000000))/1099511627776 + (3430904120625720721408*q2*(v^2 + 96616984601725/73786976294838206464))/884279719003555 - (155964584349776400247419648282222806052849137*E*q2^3)/10674512520593048328389589464968617424920248320000000000 + (11446020791048350834576326656*sin(psi))/(5*(45266033000000 - 94192000000*cos(psi))^(3/2)) - (11446020791048350834576326656*sin(psi))/(5*(94192000000*cos(psi) + 45266033000000)^(3/2)) + (1635145827292621704869707776*sin(psi))/(5*(45265985000000 - 13456000000*cos(psi))^(3/2)) - (1635145827292621704869707776*sin(psi))/(5*(13456000000*cos(psi) + 45265985000000)^(3/2)) + (2943262489126719288667799552*sin(psi))/(45266065000000 - 121104000000*cos(psi))^(3/2) - (2943262489126719288667799552*sin(psi))/(121104000000*cos(psi) + 45266065000000)^(3/2) - (670098461059711*q2*((23833472788701093618994857457*E*q1*q2^2)/3164450512730909346372335107211001856000000000 - (515164943628510689093751718811*E*q1)/5063120820369454954195736171537602969600 + (5277115671879795*v*((5489446593001153125*q1)/4503599627370496 + 4165995407653319/536870912))/2810596655616590086144 + (1099511627776*((5489446593001153125*q1)/9007199254740992 + 4165995407653319/1073741824)*(v^2 + 96616984601725/73786976294838206464))/670098461059711 + 2*v2*(v + 5277115671879795/4611686018427387904)))/1099511627776 + (26829816134400001844159971328*sin(psi))/(45266084000000 - 134560000000*cos(psi))^(3/2) - (26829816134400001844159971328*sin(psi))/(134560000000*cos(psi) + 45266084000000)^(3/2) - (6861808241251441442816*v1*(v + 5277115671879795/4611686018427387904))/884279719003555 + (4905437481877865114609123328*sin(psi))/(5*(45265993000000 - 40368000000*cos(psi))^(3/2)) - (4905437481877865114609123328*sin(psi))/(5*(40368000000*cos(psi) + 45265993000000)^(3/2)) + (670098461059711*q1*v*v1)/549755813888 + (670098461059711*q2*v*v2)/549755813888 + (155964584349776400247419648282222806052849137*E*q1^2*q2)/5337256260296524164194794732484308712460124160000000000 - 250000)/((670098461059711*q2^2)/1099511627776 + (65686959179277622431699024473880000*q1)/16930127967159882438007893503 + (670098461059711*q1*((5489446593001153125*q1)/5489446593001152512 + 4265979297436998656/670098461059711))/1099511627776 + 14636165950080615772808734524462646427648/592554478850595885330276272605);
v1;
(5277115671879795*v*((5489446593001153125*q1)/4503599627370496 + 4165995407653319/536870912))/2810596655616590086144 - (515164943628510689093751718811*E*q1)/5063120820369454954195736171537602969600 + (1099511627776*((5489446593001153125*q1)/9007199254740992 + 4165995407653319/1073741824)*(v^2 + 96616984601725/73786976294838206464))/670098461059711 + 2*v2*(v + 5277115671879795/4611686018427387904) + (q2*((7851912654645540864*v1)/884279719003555 + (1635145827292621704869707776*sin(psi))/(45266009000000 - 67280000000*cos(psi))^(3/2) - (1635145827292621704869707776*sin(psi))/(67280000000*cos(psi) + 45266009000000)^(3/2) + (392595632732277*q1*v1)/281474976710656 + (6906615411251433347861285380119*q2*v)/777820666600722111024594944 + (392595632732277*q2*v2)/281474976710656 + (6861808241251441442816*v*v1)/884279719003555 + (670098461059711*q1*((5277115671879795*q2*v)/2305843009213693952 + q2*(v^2 + 96616984601725/73786976294838206464) - (23833472788701093618994857457*E*q2^3)/6328901025461818692744670214422003712000000000 - 2*v1*(v + 5277115671879795/4611686018427387904) + (23833472788701093618994857457*E*q1^2*q2)/3164450512730909346372335107211001856000000000))/1099511627776 + (3430904120625720721408*q2*(v^2 + 96616984601725/73786976294838206464))/884279719003555 - (155964584349776400247419648282222806052849137*E*q2^3)/10674512520593048328389589464968617424920248320000000000 + (11446020791048350834576326656*sin(psi))/(5*(45266033000000 - 94192000000*cos(psi))^(3/2)) - (11446020791048350834576326656*sin(psi))/(5*(94192000000*cos(psi) + 45266033000000)^(3/2)) + (1635145827292621704869707776*sin(psi))/(5*(45265985000000 - 13456000000*cos(psi))^(3/2)) - (1635145827292621704869707776*sin(psi))/(5*(13456000000*cos(psi) + 45265985000000)^(3/2)) + (2943262489126719288667799552*sin(psi))/(45266065000000 - 121104000000*cos(psi))^(3/2) - (2943262489126719288667799552*sin(psi))/(121104000000*cos(psi) + 45266065000000)^(3/2) - (670098461059711*q2*((23833472788701093618994857457*E*q1*q2^2)/3164450512730909346372335107211001856000000000 - (515164943628510689093751718811*E*q1)/5063120820369454954195736171537602969600 + (5277115671879795*v*((5489446593001153125*q1)/4503599627370496 + 4165995407653319/536870912))/2810596655616590086144 + (1099511627776*((5489446593001153125*q1)/9007199254740992 + 4165995407653319/1073741824)*(v^2 + 96616984601725/73786976294838206464))/670098461059711 + 2*v2*(v + 5277115671879795/4611686018427387904)))/1099511627776 + (26829816134400001844159971328*sin(psi))/(45266084000000 - 134560000000*cos(psi))^(3/2) - (26829816134400001844159971328*sin(psi))/(134560000000*cos(psi) + 45266084000000)^(3/2) - (6861808241251441442816*v1*(v + 5277115671879795/4611686018427387904))/884279719003555 + (4905437481877865114609123328*sin(psi))/(5*(45265993000000 - 40368000000*cos(psi))^(3/2)) - (4905437481877865114609123328*sin(psi))/(5*(40368000000*cos(psi) + 45265993000000)^(3/2)) + (670098461059711*q1*v*v1)/549755813888 + (670098461059711*q2*v*v2)/549755813888 + (155964584349776400247419648282222806052849137*E*q1^2*q2)/5337256260296524164194794732484308712460124160000000000 - 250000))/((670098461059711*q2^2)/1099511627776 + (65686959179277622431699024473880000*q1)/16930127967159882438007893503 + (670098461059711*q1*((5489446593001153125*q1)/5489446593001152512 + 4265979297436998656/670098461059711))/1099511627776 + 14636165950080615772808734524462646427648/592554478850595885330276272605) + (23833472788701093618994857457*E*q1*q2^2)/3164450512730909346372335107211001856000000000;
v2;
(5277115671879795*q2*v)/2305843009213693952 + q2*(v^2 + 96616984601725/73786976294838206464) - (23833472788701093618994857457*E*q2^3)/6328901025461818692744670214422003712000000000 - 2*v1*(v + 5277115671879795/4611686018427387904) - (1099511627776*((5489446593001153125*q1)/9007199254740992 + 4165995407653319/1073741824)*((7851912654645540864*v1)/884279719003555 + (1635145827292621704869707776*sin(psi))/(45266009000000 - 67280000000*cos(psi))^(3/2) - (1635145827292621704869707776*sin(psi))/(67280000000*cos(psi) + 45266009000000)^(3/2) + (392595632732277*q1*v1)/281474976710656 + (6906615411251433347861285380119*q2*v)/777820666600722111024594944 + (392595632732277*q2*v2)/281474976710656 + (6861808241251441442816*v*v1)/884279719003555 + (670098461059711*q1*((5277115671879795*q2*v)/2305843009213693952 + q2*(v^2 + 96616984601725/73786976294838206464) - (23833472788701093618994857457*E*q2^3)/6328901025461818692744670214422003712000000000 - 2*v1*(v + 5277115671879795/4611686018427387904) + (23833472788701093618994857457*E*q1^2*q2)/3164450512730909346372335107211001856000000000))/1099511627776 + (3430904120625720721408*q2*(v^2 + 96616984601725/73786976294838206464))/884279719003555 - (155964584349776400247419648282222806052849137*E*q2^3)/10674512520593048328389589464968617424920248320000000000 + (11446020791048350834576326656*sin(psi))/(5*(45266033000000 - 94192000000*cos(psi))^(3/2)) - (11446020791048350834576326656*sin(psi))/(5*(94192000000*cos(psi) + 45266033000000)^(3/2)) + (1635145827292621704869707776*sin(psi))/(5*(45265985000000 - 13456000000*cos(psi))^(3/2)) - (1635145827292621704869707776*sin(psi))/(5*(13456000000*cos(psi) + 45265985000000)^(3/2)) + (2943262489126719288667799552*sin(psi))/(45266065000000 - 121104000000*cos(psi))^(3/2) - (2943262489126719288667799552*sin(psi))/(121104000000*cos(psi) + 45266065000000)^(3/2) - (670098461059711*q2*((23833472788701093618994857457*E*q1*q2^2)/3164450512730909346372335107211001856000000000 - (515164943628510689093751718811*E*q1)/5063120820369454954195736171537602969600 + (5277115671879795*v*((5489446593001153125*q1)/4503599627370496 + 4165995407653319/536870912))/2810596655616590086144 + (1099511627776*((5489446593001153125*q1)/9007199254740992 + 4165995407653319/1073741824)*(v^2 + 96616984601725/73786976294838206464))/670098461059711 + 2*v2*(v + 5277115671879795/4611686018427387904)))/1099511627776 + (26829816134400001844159971328*sin(psi))/(45266084000000 - 134560000000*cos(psi))^(3/2) - (26829816134400001844159971328*sin(psi))/(134560000000*cos(psi) + 45266084000000)^(3/2) - (6861808241251441442816*v1*(v + 5277115671879795/4611686018427387904))/884279719003555 + (4905437481877865114609123328*sin(psi))/(5*(45265993000000 - 40368000000*cos(psi))^(3/2)) - (4905437481877865114609123328*sin(psi))/(5*(40368000000*cos(psi) + 45265993000000)^(3/2)) + (670098461059711*q1*v*v1)/549755813888 + (670098461059711*q2*v*v2)/549755813888 + (155964584349776400247419648282222806052849137*E*q1^2*q2)/5337256260296524164194794732484308712460124160000000000 - 250000))/(670098461059711*((670098461059711*q2^2)/1099511627776 + (65686959179277622431699024473880000*q1)/16930127967159882438007893503 + (670098461059711*q1*((5489446593001153125*q1)/5489446593001152512 + 4265979297436998656/670098461059711))/1099511627776 + 14636165950080615772808734524462646427648/592554478850595885330276272605)) + (23833472788701093618994857457*E*q1^2*q2)/3164450512730909346372335107211001856000000000;
];
toc
- end -
when I click run, the results is totally different. Please assist me and I will truly appreciate your kind help. Thanks guys.
Cheers.
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