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];
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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