Spirograph pattern: Venus x Earth

on 11 Oct 2021

% Venus and Earth forming a beautiful Spirograph pattern.

% Each line connects the positions of Venus and the Earth at 4-day interval for 8 years.

p1=364; % period (days) Earth

p2=224; % period (days) Venus

rho1=1.50; % diameter Earth

rho2=1.08; % diameter Venus

dtheta1=2*pi/p1; % angular velocity Earth

dtheta2=2*pi/p2; % angular velocity Venus

hold on

t = 1:8:2912; % draw a line at every 8 days for 8 years

[x1,y1]=pol2cart(dtheta1*t,rho1);

[x2,y2]=pol2cart(dtheta2*t,rho2);

plot([x1;x2],[y1;y2],"-",Color=[1 1 1]);

% plot([x1;x2],[y1;y2],"-",Color=[0.4 0.4 0.4]);

plot(x1,y1,LineWidth=3);

plot(x2,y2,LineWidth=3);

set(gcf,Color='black')

axis off equal