rotate polygon in geographic axes

I have a n-sided polygon with vertices as (lat,lon) coordinates. I plot this on a geographic axes. I want to rotate it and end up with a new rotated set of (lat,lon) coordinates. I don't want a filled polygon, but perhaps I could adjust the transparency if that's the only way (such as patch). Here is what I tried, but not sure it works accurately due to the oblate earth surface. I prefer not to use Mapping Toolbox, but just core Matlab.

geoplot(lat,lon,'k-')

polyin = polyshape([lat',lon']);

refPoint = [refLat, refLon];

polyout = rotate(polyin, angleDeg, refPoint);

lat = [polyout.Vertices(:,1); polyout.Vertices(1,1)];

lon = [polyout.Vertices(:,2); polyout.Vertices(1,2)];

geoplot(lat,lon,'b--')

Answer 1

[Pujitha Narra]

Hi Mike,

A rotation matrix might be of use to you. You can have a look at this: https://www.mathworks.com/matlabcentral/answers/296860-rotating-a-2d-shape