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Old Jan 18th 2015, 07:27 AM   #1
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elliplical path

Suppose, an object is travelling through a circle path. For which conditions this path will be elliptical or circular?
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Old Jan 18th 2015, 03:40 PM   #2
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It is difficult to answer you without more information. If an object is subjected to a particular kind of central force the equation of motion will predict a stable orbit of some kind. In particular if the central force is a 1/r^2 force (as is gravity) then corresponding stable orbit will be elliptical. (A circle is a kind of ellipse so circular orbits fall into this category as well.)

That's all I can do without more specifics about the question.

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Old Jan 18th 2015, 03:54 PM   #3
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As Topsquark says, circular is a special case of elliptical,
All orbits will be elliptical,
They will only be circular if extra care is taken to set them up perfectly,
and then they will need constant attention to keep them circular
as there will be little gravitational nudges and pulls all the time
from the moon, planets, the sun, etc.
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