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function PoAVel %坐标，速度，旋转矩阵的表达式 syms a e I o O E m polycoord=[a*cos(E)-a*e;sin(E)*a*sqrt(1-e^2);0]; polyvel=(sqrt(m/a)/(1-e*cos(E))^2)*[(e*sin(E))*(cos(o)*cos(E)-e*cos(o)-sin(o)*sin(E)*sqrt(1-e^2))-sqrt(1-e^2)*(sin(o)*cos(E)-e*sin(o)+(1-e^2)*cos(o)*sin(E));(e*sin(E))*(cos(o)*cos(E)-e*cos(o)-sin(o)*sin(E)*sqrt(1-e^2))+sqrt(1-e^2)*(sin(o)*cos(E)-e*sin(o)+(1-e^2)*cos(o)*sin(E));0]; Ro3OMat=[cos(O) sin(O) 0;-sin(O) cos(O) 0;0 0 1]; Ro1iMat=[1 0 0;0 cos(I) sin(I);0 -sin(I) cos(I)]; Ro3oMat=[cos(o) sin(o) 0;-sin(o) cos(o) 0;0 0 1]; RoMat=Ro3oMat*Ro1iMat*Ro3OMat; %天球赤道坐标系中的坐标，速度表达式 RoMatcoord=RoMat*polycoord; RoMatvel=RoMat*polyvel; %读入数据 KepEle=input('输入轨道元素:[a,e,i,Ω,ω,M,μ]'); ValE=EcNeAngle(KepEle(2),degree2rad(KepEle(6))); %代入坐标，速度，旋转矩阵，及天球坐标系中的坐标，速度的表达式 Valcoord=vpa(subs(polycoord,{a,e,E},{KepEle(1),KepEle(2),ValE}),7); Valvel=vpa(subs(polyvel,{a,e,E,m},{KepEle(1),KepEle(2),ValE,KepEle(7)}),7); ValRoMat=vpa(subs(RoMat,{I,o,O},{degree2rad(KepEle(3)),degree2rad(KepEle(5)),degree2rad(KepEle(4))}),7); %vO=subs(Ro3OMat,O,degree2rad(KepEle(4))) %vo=subs(Ro3oMat,o,degree2rad(KepEle(5))) %vi=subs(Ro1iMat,I,degree2rad(KepEle(3))) coordinates=subs(RoMatcoord,{a,e,I,o,O,E},{KepEle(1),KepEle(2),degree2rad(KepEle(3)),degree2rad(KepEle(5)),degree2rad(KepEle(4)),ValE}); velocity=subs(RoMatvel,{a,e,I,o,O,E,m},{KepEle(1),KepEle(2),degree2rad(KepEle(3)),degree2rad(KepEle(5)),degree2rad(KepEle(4)),ValE,KepEle(7)}); %将天球赤道坐标系中的坐标，速度转化为数值 Coordinates=vpa(coordinates,7) Velocity=vpa(velocity,7)