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A small circle is a simple circle on a two dimensional plane. The great circle is the circle around a sphere that is on the plane that intersects with the center of the sphere. It is the reason that on a flat map the paths of planes seem to curve to go to and from Europe and the North American continent.

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Q: What is the difference between a small circle and a great circle?
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Related questions

What is difference between great circle and circle?

A great circle lies in the plane that includes the center of the Earth. The plane of a small circle doesn't include the center of the Earth.


What is difference between great circle and small circle?

A "great circle" is any circle on a sphere whose center is also the center of the sphere. The shortest distance between two points on the surface of a sphere is a piece of the great circle on which both points lie. A "small circle" is any circle on the sphere that's not a 'great' circle.


Is the center of a great circle also the center of a small circle?

No. Every circle on the sphere whose center is also the center of the sphere is a great circle. If the circle's center is not also the center of the sphere, then the circle is a small circle.


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The center of a great circle is also the center of a small circle?

If talking in terms of the shortest distance around a sphere, the answer is NO.


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Tycho was the first astronomer to make measurements of enough accuracy to show that the older theories were producing errors in the planets' positions. The difference between an ellipse and the old model of a circle and epicycle, which gives a circle with the Sun off-centre, was so small that it needed high accuracy to notice the difference. Planets' orbits have an extremely small difference between the major and minor axes of the ellipses.


Why did Kepler deduce the elliptical orbits of planets from Tycho and data where so many other earlier astronomers and learned men had missed it?

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