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Yes, This theory is referred to as the Milankovich Theory and the temperatures shown from the glacial samples at Vostok dovetail with these cycles very well.
There are naturally occurring variations that affect climate and the cycles are different:The Eccentricity Cycle (Elliptical Cycle) - This occurs about every 100,000 years and is the longer cycle. It causes the earth to cool.The Obliquity Cycle (Axial Tilt) - 41,000 years. Increased obliquity can cause summers to be warmer and winters to be colder.The Precession Cycle (Wobble) - This cycle occurs every 26,000 years and can cause seasonal changes.
Earth's eccentricity Eccentricity is defined as the difference in shape between an ellipse and a perfect circle. In a similar fashion to Earth's obliquity, the more uniform Earth's orbit is (more like a perfect circle), the less difference there is in climate change throughout the year.
If by spin you mean "rotate daily" then yes. But you could refer to our "orbit" as a spin around the sun. But if you want to refer to "spin" as any oscillatory/periodic motion of the earth, then we spin around our central axis, we orbit around the sun, we precess the rotational axis around a precession axis, our obliquity oscillates periodically and our eccentricity oscillates around the foci of our elliptic orbit which is near the center of the sun. These characteristics of our orbit are known as the Milankovic cycles.
It is called a circle.A circle is an ellipse with zero eccentricity.Incidentally, you probably meant "geometric figure".
Obliquity - book - was created on 2010-03-25.
The shape of Earth's orbit becomes more or less oval (eccentricity), Earth wobbles as it spins (precession), and Earth's axis changes too (tilt).
Earth's precession
Uranus with an obliquity of 98oThe dwarf planet Pluto has an obliquity of 120oSee related link for a pictorial.
The eccentricity of the Earth is approximately 0.0167.
precession
obliquity