For loop circles that wrap around another circle

So my problem is that i need to plot circles that wrap around another circle.

The calculations calculate the R(inner circles radius) based on n(the number of circles that wrap around it and r which is always 1)

something like this :

i need to make an for loop k=1:n, that plots the small circles around the red inner circle.

ive tried everything and cant seem to get it right.

here is the base calculation ive gotten so far.

r=1 % small circles radius

n=17 %number of small crircles

alfa=180./n %angle

x0=0,y0=0%circle center points

R=((1-sind(alfa))/sind(alfa))*r %calculating the R(radius of red inner circle)

%innercircle coords

t=0:360;

xymp=+R.*cosd(t);

yymp=y0+R.*sind(t);

%outer circle coords

t=0:360;

Syy=+(R+(r.*2))*cosd(t);

Syx=y0+(R+(r.*2))*sind(t);

plot(xymp,yymp,'r','linewidth',2)%inner circle

hold

plot(Syx,Syy,'b','linewidth',2) %outer circle

this is the for loop ive tried,

for k=1:n

s=0:alfa:360

x=x0+(R+r).*cosd(s)

y=y0+(R+r).*sind(s)

xy=x+r.*cosd(s);

yy=y+r.*sind(s);

plot(x,y)

end

i know its not pretty

Thanks for any help !

Answer 1

[Mitchell Thurston]

Modified the calculation of alfa, R, and a slight change with the for loop

clear;
r=1; % small circles radius
n=17; %number of small crircles
alfa=180-(180*(n-2))/n; %angle
x0=0;y0=0;%circle center points
R=r*(1/(sind(180/n)) -1);  %calculating the R(radius of red inner circle)
%innercircle coords
t=0:360;
xymp=x0+R.*cosd(t);
yymp=y0+R.*sind(t);
%outer circle coords
t=0:360;
Syy=+(R+(r.*2))*cosd(t);
Syx=y0+(R+(r.*2))*sind(t);
plot(xymp,yymp,'r','linewidth',2)%inner circle
hold on
plot(Syx,Syy,'b','linewidth',2) %outer circle

s=0:alfa:360;
for k=1:n
x=x0+(R+r).*cosd(s(k));
y=y0+(R+r).*sind(s(k));
xy=x+r.*cosd(t);
yy=y+r.*sind(t);
plot(xy,yy,'-k')
end
hold off

[pauli relanderi]

Love it ! Thank you !!