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How are foci related to eccentricity?

Updated: 9/19/2023
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The eccentricity of an ellipse is a number related to how "egg-shaped" it is ... the

difference between the distance through the fat part and the distance through the

skinny part. That's also related to the distance between the 'foci' (focuses) of the

ellipse.

The farther apart the foci are, the higher the eccentricity is, and the flatter the ellipse is.

Comets have very eccentric orbits.

When the two foci are at the same point, the eccentricity is zero, all of the diameters

of the ellipse have the same length, and the ellipse is a circle. All of the planets have

orbits with small eccentricities.

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Q: How are foci related to eccentricity?
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Continue Learning about Astronomy

If the pins in the following diagram were placed closer together the eccentricity of the ellipse being constructed would?

Assuming that the pins represent the foci, the answer is that the eccentricity would be reduced.


How does the shape change with increasing eccentricity?

An ellipse whose eccentricity is zero is a circle. As its eccentricity increases, it becomes more and more elliptical, i.e. its foci move farther apart and it appears more "egg-shaped".


What planets has the least distance between the two foci of its elliptical orbit?

Pluto Thanks for the answer! Unfortunately I meant to restrict the question to the 5 planets visible with the unaided-eye. Mercury, Venus, Mar, Jupiter & Saturn (excluding Earth). My mistake. Then again, perhaps its the planet furthest from the sun would have the greatest deviance from a perfect circular orbit. In that case, of the classical 5, it might be Saturn.


What is the eccentricity of the Earth?

The eccentricity of the Earth is approximately 0.0167.


If an asteroid is in an elliptical orbit about the Sun with the Sun almost at the center of the ellipse what would the eccentricity of the ellipse be?

All natural orbits are ellipses. We can force an artificial satellite into a spherical orbit, but it won't STAY there without occasional adjustments. The "primary body" - in this case, the Sun - is at one of the two focuses (foci) of the orbit. If the focus is very close to the "center" of the ellipse, then the eccentricity of the orbit (how much it varies from a perfect circle) is close to zero.

Related questions

How does distance between foci affect eccentricity?

As the distance between foci increases the eccentricity increases, or the reverse relationship.


What is the formula for eccentricity?

eccentricity = distance between foci ________________ length of major axis


What will happen to the eccentricity of an ellipse as the distance between the foci increases?

the eccentricity will increase.


What is the eccentricity of an ellipse in which the distance between the foci is 2 centimeters and the length of the major axis is 5 centimeters?

The eccentricity of that ellipse is 0.4 .


What planet has the least distance between the two Foci of its elliptical orbit?

Planets don't have circular orbits; all orbits are ellipses. A circle has one center, but an ellipse has two focuses, or "foci". The further apart the foci, the greater the eccentricity, which is a measure of how far off circular the ellipse is. Venus has the lowest eccentricity, at 0.007. Neptune is next with an eccentricity of 0.011. (Earth's orbit has an eccentricity of 0.017.) So, Venus has the shortest focus-to-focus distance.


What changes takes place in the eccentricity of the ellipses when you increase the distance between the foci?

bruh..


What changes take place in the eccentricity of the ellipse when you increase the distance between the foci's?

Troll


What change takes place in the eccentricity of the ellipses when you increase the distance between the foci?

bruh..


What change takes place in the eccentricity of an ellipse when you increase the distance between the foci?

Troll


What is the FOCI of a circle?

A circle is an ellipse with an eccentricity of zero. Both foci of that ellipse are at the same point. In the special case of the circle, that point is called the "center".


If the pins in the following diagram were placed closer together the eccentricity of the ellipse being constructed would?

Assuming that the pins represent the foci, the answer is that the eccentricity would be reduced.


What is the distance from one of the foci of the ellipse from its center?

The length of the semi-major axis multiplied by the eccentricity.