function - 太阳系映射，ODE45 故障

Question

以下代码旨在通过结合每个重要天体对其他天体的影响来绘制太阳系。当然，它应该导致预期的轨道。在最终的嵌入式函数GravityDE中，它无法从中读取值PlanetVec，因此，每次都无法产生正确的新结果。我们得到错误

??? Undefined function 'GravityDE' for input arguments of type double. 

任何有关如何解决此问题的建议都将受到欢迎！

function Gravity1()

clear;
format long eng;
load('solar_system_data.mat');

StartTime = 0;
TimeStep = 24 * 3600 * 10;
EndTime = 24 * 3600 * 100;


TVec = StartTime:TimeStep:EndTime;
TimeStepMin = StartTime:2:TimeStep;

%Column Vectors for initial conditions
SunVec = [xposition(1), yposition(1), vx(1), vy(1),mass(1),1];
MercuryVec = [xposition(2), yposition(2), vx(2), vy(2),mass(2),2];
VenusVec = [xposition(3), yposition(3), vx(3), vy(3),mass(3),3];
EarthVec = [xposition(4), yposition(4),vx(4), vy(4),mass(4),4];
MoonVec = [xposition(10), yposition(10), vx(10), vy(10),mass(10),10];
MarsVec = [xposition(5), yposition(5), vx(5), vy(5),mass(5),5];
JupiterVec = [xposition(6), yposition(6), vx(6), vy(6),mass(6),6];
SaturnVec = [xposition(7), yposition(7), vx(7), vy(7),mass(7),7];
UranusVec = [xposition(8), yposition(8), vx(8), vy(8),mass(8),8];
NeptuneVec = [xposition(9), yposition(9), vx(9), vy(9),mass(9),9];
PlanetVec=[SunVec(1),SunVec(2),SunVec(3),SunVec(4),SunVec(5),SunVec(6);MercuryVec(1),       MercuryVec(2), MercuryVec(3), MercuryVec(4),MercuryVec(5),MercuryVec(6);VenusVec(1), VenusVec(2), VenusVec(3), VenusVec(4),VenusVec(5),VenusVec(6);EarthVec(1), EarthVec(2), EarthVec(3), EarthVec(4),EarthVec(5),EarthVec(6);MoonVec(1),MoonVec(2),MoonVec(3),MoonVec(4),MoonVec(5),MoonVec(6);MarsVec(1), MarsVec(2), MarsVec(3), MarsVec(4),MarsVec(5),MarsVec(6);JupiterVec(1), JupiterVec(2), JupiterVec(3), JupiterVec(4),JupiterVec(5),JupiterVec(6);SaturnVec(1), SaturnVec(2), SaturnVec(3), SaturnVec(4),SaturnVec(5),SaturnVec(6);UranusVec(1), UranusVec(2),UranusVec(3), UranusVec(4),UranusVec(5),UranusVec(6);NeptuneVec(1),       NeptuneVec(2), NeptuneVec(3), NeptuneVec(4),NeptuneVec(5),NeptuneVec(6)];
n=0;
while n<EndTime;
%Built in solver
[TimeVec, SunMat] = ode45(@GravityDE, TimeStepMin, SunVec);
[TimeVec, MercuryMat] = ode45(@GravityDE, TimeStepMin, MercuryVec);
[TimeVec, VenusMat] = ode45(@GravityDE, TimeStepMin, VenusVec);
[TimeVec, EarthMat] = ode45(@GravityDE, TimeStepMin, EarthVec);
[TimeVec, MoonMat] = ode45(@GravityDE, TimeStepMin, MoonVec);
[TimeVec,  MarsMat] = ode45(@GravityDE, TimeStepMin, MarsVec);
[TimeVec, JupiterMat] = ode45(@GravityDE, TimeStepMin, JupiterVec);
[TimeVec, SaturnMat] = ode45(@GravityDE, TimeStepMin, SaturnVec);
[TimeVec,  UranusMat] = ode45(@GravityDE, TimeStepMin, UranusVec);
[TimeVec, NeptuneMat] = ode45(@GravityDE, TimeStepMin, NeptuneVec);

SunXVec = SunMat (end,1);
SunYVec = SunMat (end,2);
SunVXVec = SunMat(end,3);
SunVYVec = SunMat(end,4);

MercuryXVec = MercuryMat (end,1);
MercuryYVec = MercuryMat (end,2);
MercuryVXVec = MercuryMat(end,3);
MercuryVYVec = MercuryMat(end,4);

VenusXVec = VenusMat (end,1);
VenusYVec = VenusMat (end,2);
VenusVXVec = VenusMat(end,3);
VenusVYVec = VenusMat(end,4);

EarthXVec = EarthMat (end,1);
EarthYVec = EarthMat (end,2);
EarthVXVec = EarthMat(end,3);
EarthVYVec = EarthMat(end,4);

MoonXVec = MoonMat (end,1);
MoonYVec = MoonMat (end,2);
MoonVXVec = MoonMat(end,3);
MoonVYVec =MoonMat(end,4);

MarsXVec = MarsMat (end,1);
MarsYVec = MarsMat (end,2);
MarsVXVec = MarsMat(end,3);
MarsVYVec = MarsMat(end,4);

JupiterXVec = JupiterMat (end,1);
JupiterYVec = JupiterMat (end,2);
JupiterVXVec = JupiterMat(end,3);
JupiterVYVec =JupiterMat(end,4);

SaturnXVec = SaturnMat (end,1);
SaturnYVec = SaturnMat (end,2);
SaturnVXVec = SaturnMat(end,3);
SaturnVYVec =SaturnMat(end,4);

UranusXVec = UranusMat (end,1);
UranusYVec = UranusMat (end,2);
UranusVXVec = UranusMat(end,3);
UranusVYVec =UranusMat(end,4);

NeptuneXVec = NeptuneMat (end,1);
NeptuneYVec = NeptuneMat (end,2);
NeptuneVXVec = NeptuneMat(end,3);
NeptuneVYVec =NeptuneMat(end,4);

SunVec=[SunXVec,SunYVec,SunVXVec,SunVYVec,mass(1),1];
MercuryVec = [MercuryXVec, MercuryYVec, MercuryVXVec, MercuryVYVec,mass(2),2];
VenusVec = [VenusXVec, VenusYVec, VenusVXVec, VenusVYVec,mass(3),3];
EarthVec = [EarthXVec, EarthYVec, EarthVXVec, EarthVYVec,mass(4),4];
MoonVec = [MoonXVec,MoonYVec,MoonVXVec,MoonVYVec,mass(10),10];
MarsVec = [MarsXVec, MarsYVec, MarsVXVec, MarsVYVec,mass(5),5];
JupiterVec = [JupiterXVec, JupiterYVec, JupiterVXVec, JupiterVYVec,mass(6),6];
SaturnVec = [SaturnXVec, SaturnYVec, SaturnVXVec, SaturnVYVec,mass(7),7];
UranusVec = [UranusXVec, UranusYVec,UranusVXVec, UranusVYVec,mass(8),8];
NeptuneVec = [NeptuneXVec, NeptuneYVec, NeptuneVXVec, NeptuneVYVec,mass(9),9];
PlanetVec=[SunVec(1),SunVec(2),SunVec(3),SunVec(4),SunVec(5),SunVec(6);MercuryVec(1),                MercuryVec(2), MercuryVec(3), MercuryVec(4),MercuryVec(5),MercuryVec(6);VenusVec(1),  VenusVec(2), VenusVec(3), VenusVec(4),VenusVec(5),VenusVec(6);EarthVec(1), EarthVec(2),   EarthVec(3),   EarthVec(4),EarthVec(5),EarthVec(6);MoonVec(1),MoonVec(2),MoonVec(3),MoonVec(4),MoonVec(5),MoonVec(6);MarsVec(1), MarsVec(2), MarsVec(3), MarsVec(4),MarsVec(5),MarsVec(6);JupiterVec(1),  JupiterVec(2), JupiterVec(3), JupiterVec(4),JupiterVec(5),JupiterVec(6);SaturnVec(1),  SaturnVec(2), SaturnVec(3), SaturnVec(4),SaturnVec(5),SaturnVec(6);UranusVec(1),  UranusVec(2),UranusVec(3), UranusVec(4),UranusVec(15),UranusVec(6);NeptuneVec(1),  NeptuneVec(2), NeptuneVec(3), NeptuneVec(4),NeptuneVec(5),NeptuneVec(6)];

plot (SunXVec,SunYVec,'.','Color','yellow');
hold on;
plot (MercuryXVec,MercuryYVec,'.','Color','green');
hold on;
plot (VenusXVec,VenusYVec,'.','Color','blue');
hold on;
plot (EarthXVec,EarthYVec, '.','Color', 'red');
hold on;
plot (MoonXVec,MoonYVec, '.','Color','black');
hold on;
plot (MarsXVec,MarsYVec, '.','Color','black');
hold on;
plot (JupiterXVec,JupiterYVec,'.','Color','green');
hold on;
plot (SaturnXVec,SaturnYVec, '.','Color','blue');
hold on;
plot (UranusXVec,UranusYVec, '.','Color','red');
hold on;
plot (NeptuneXVec,NeptuneYVec, '.','Color','blue');
hold on;
n=n+TimeStep;
end

function dYVec = GravityDE (TimeStep, YVec,PlanetVec)
load('solar_system_data.mat');
GravConst = 6.67259e-11;
Xi = YVec(1);
Yi = YVec(2);
VXi = YVec(3);
VYi = YVec(4);
Massi=YVec(5);
BodyName=YVec(6);

AccXtotal=0;
AccYtotal=0;
j=1;
while j<=10

Massj=PlanetVec(j,5);
Yj=PlanetVec(j,2);
Xj=PlanetVec(j,1);



RangeSq = (Xi-Xj).^2 + (Yi-Yj).^2;
if RangeSq==0
    AccMag=0;
    Theta = atan2(Yi-Yj,Xi-Xj);
    AccX = -AccMag .* cos (Theta);
    AccY = -AccMag .* sin (Theta);
    j=j+1;
    AccXtotal=AccXtotal+AccX;
    AccYtotal=AccYtotal+AccY;
else
    Theta = atan2(Yi-Yj,Xi-Xj);
    AccMag = (GravConst .* Massj ./ RangeSq);
    AccX = -AccMag .* cos (Theta);
    AccY = -AccMag .* sin (Theta);
    j=j+1;
    AccXtotal=AccXtotal+AccX;
    AccYtotal=AccYtotal+AccY;
    VXi=VXi+AccXtotal.*TimeStep;
    VYi=VYi+AccYtotal.*TimeStep;
end

dYVec = [VXi; VYi; AccXtotal; AccYtotal;Massi;BodyName];

end

谢谢！！

Answer 1

Answer 2

没有solar_system_data.mat，很难调试你的代码，但问题是你没有传递PlanetVec给你的函数

如果我没记错的话，你应该试试

[TimeVec, SunMat] = ode45(@(t,y)GravityDE(t,y,PlanetVec), TimeStepMin, SunVec);

请阅读参数化功能