积分结果中出现EllipticF

lideju1988

我在对一个较为复杂的表达式用int进行积分运算过程中，出现了EllipticF（第一类椭圆积分），我需要将含有EllipticF的表达式代入一个方程组，用solve函数进行求解，结果显示为无解，请有这方面经验的朋友指点。
a=29.69;
e=0.45;
alpha=pi/9;
s_0=2.25*pi/4;
theta=atan((59982310500166377/5629499534213120/(1+9/20*cos(phi))^2*cos(phi)*sin(phi)-6664701166685153/281474976710656/(1+9/20*cos(phi))*sin(phi))/(-59982310500166377/5629499534213120/(1+9/20*cos(phi))^2*sin(phi)^2-6664701166685153/281474976710656/(1+9/20*cos(phi))*cos(phi)));
syms s r omiga phi;
R=a*(1-e^2)/(1+e*cos(phi));  %极径
X_e=-R*sin(phi);
Y_e=R*cos(phi);
    fun=sqrt((a*(1-e^2)./(1+e.*cos(phi))).^2.+(a.*(1-e^2)./(1.+e.*cos(phi)).^2.*e.*sin(phi)).^2);
    intfun=int(fun)
s=subs(intfun,0)-subs(intfun,phi)
    r=(s_0-s)*cos(alpha);
    Xc=X_e+r*cos(alpha+theta);
    Yc=Y_e+r*sin(alpha+theta);

Xd=-R*sin(omiga);
Yd=R*cos(omiga);
dYdX=diff(Yd)/diff(Xd);
t1=sqrt((Xc-Xd)^2+(Yc-Yd)^2)-ha_*m
t2=(Yc-Yd)/(Xc-Xd)*dYdX+1
[PHI,OMIGA]=solve(t1,t2,'phi','omiga')