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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 a circle on the surface of a sphere that has the same center as the sphere, while a small circle does not share the same center as the sphere. Great circles have the largest circumference of all circles on a sphere, whereas small circles have smaller circumferences. The equator is an example of a great circle on Earth, while lines of latitude other than the equator are examples of small circles.


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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To draw a great circle on a sphere, start by defining the diameter as the largest circle that can be drawn on the sphere's surface. For small circles, choose a point on the sphere and draw a circle with that point as the center and the radius less than the sphere's radius. Remember that the center of a small circle lies outside the circle on a sphere's surface.


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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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