1 e=0.7; m1=1; m2=4; 2 T=2*pi./(1-e).^1.5; tspan=linspace(0, T, 1000); 3 options=odeset('RelTol',1.e-6); 4 %%%%% Solve differential equations for x and y using ode45 with arguments tspan and options. 5 %%%%% Determine x1, y1 and x2, y2 6 7 tspan [0 365.25*24*60*60]; 8 m = [5.97e24 7.34e22]; 9 y0 = [0 1.496e1101.496e11+384.4e6]; 10 RelTol = 1e-6; 11 [t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, ye, RelTol); 12 twobody (t,y,m) 13 function dydt 14 y(1) = x1 15 y(2)= y1 16 y(3) = x2 17 y (4) = y2 = 18 19 G = 6.67430e-11; 20 21 r12 = sqrt((y(1)-y(3))^2 + (y(2)-y(4))^2); 22 23 dydt = [y(3)-y(1); 24 end 25 %%% Write local function for differential equations XXXXXX y(4)-y(2); -G*m (1)*(y(1)-y(3))/r12^3; -G*m (2)*(y (2)-y(4))/r12^3];

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Script
1 e 0.7; m1=1; m2=4;
2 T=2*pi./(1-e).^1.5; tspan=linspace(0, T, 1000);
3 options=odeset('RelTol',1.e-6);
4 %%%%% Solve differential equations for x and y using ode45 with arguments tspan and options.
5 %%%%% Determine x1, y1 and x2, y2
6
7 tspan = [0 365.25*24*60*60];
8 m [5.97e24 7.34e22];
=
9 y0 = [0 1.496e1101.496e11+384.4e6];
10 RelTol = 1e-6;
11 [t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, yo, RelTol);
12
13 function dydt = twobody (t,y,m)
14
15
16
17
y(1) = x1
y (2) = y1
y (3) = x2
y(4) = y2
18
19 G 6.67430e-11;
20
21 r12 = sqrt((y(1)-y(3))^2 + (y(2)-y(4))^2);
22
23 dydt = [y(3)-y(1);
24 end
25 %%%%% Write local function for differential equations %%%%%**KKKKKKK
y (4)-y(2);
-G*m (1) * (y(1)-y(3))/r12^3;
Save
-G*m (2)*(y (2)-y(4))/r12^3];
%%%%%%%%%
C Reset E MATLAB Documentation
▶ Run Script
?
Transcribed Image Text:Script 1 e 0.7; m1=1; m2=4; 2 T=2*pi./(1-e).^1.5; tspan=linspace(0, T, 1000); 3 options=odeset('RelTol',1.e-6); 4 %%%%% Solve differential equations for x and y using ode45 with arguments tspan and options. 5 %%%%% Determine x1, y1 and x2, y2 6 7 tspan = [0 365.25*24*60*60]; 8 m [5.97e24 7.34e22]; = 9 y0 = [0 1.496e1101.496e11+384.4e6]; 10 RelTol = 1e-6; 11 [t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, yo, RelTol); 12 13 function dydt = twobody (t,y,m) 14 15 16 17 y(1) = x1 y (2) = y1 y (3) = x2 y(4) = y2 18 19 G 6.67430e-11; 20 21 r12 = sqrt((y(1)-y(3))^2 + (y(2)-y(4))^2); 22 23 dydt = [y(3)-y(1); 24 end 25 %%%%% Write local function for differential equations %%%%%**KKKKKKK y (4)-y(2); -G*m (1) * (y(1)-y(3))/r12^3; Save -G*m (2)*(y (2)-y(4))/r12^3]; %%%%%%%%% C Reset E MATLAB Documentation ▶ Run Script ?
Output
Unrecognized function or variable 'x1'.
Error in solution>twobody (line 14)
y(1) = x1
Error in solution>@(t,y) twobody (t,y,m) (line 11)
[t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, ye, RelTol);
Error in odearguments (line 92)
fe ode (te, yo, args{:}); % ODE15I sets args{1} to yp0.
Error in ode45 (line 107)
odearguments (odeIs FuncHandle, odeTreatAsMFile, solver_name, ode, tspan, yo, options, varargin);
Error in solution (line 11)
[t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, ye, RelTol);
Assessment:
x coordinate of mass one
y coordinate of mass one
x coordinate of mass two
y coordinate of mass two
Submit
Transcribed Image Text:Output Unrecognized function or variable 'x1'. Error in solution>twobody (line 14) y(1) = x1 Error in solution>@(t,y) twobody (t,y,m) (line 11) [t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, ye, RelTol); Error in odearguments (line 92) fe ode (te, yo, args{:}); % ODE15I sets args{1} to yp0. Error in ode45 (line 107) odearguments (odeIs FuncHandle, odeTreatAsMFile, solver_name, ode, tspan, yo, options, varargin); Error in solution (line 11) [t,y] = ode45 (@(t,y) twobody (t,y,m), tspan, ye, RelTol); Assessment: x coordinate of mass one y coordinate of mass one x coordinate of mass two y coordinate of mass two Submit
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