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semi-major axis

File:Ellipse_semi-major_and_minor_axes.svg · Wikimedia Commons · See Wikimedia Commons

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semi-major axis

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Also known as semimajor axis, major semi-axis, major semiaxis

longest interval from a point on an ellipse to its center

AI overview

A semi-major axis is half the longest distance across an ellipse, measured from the center to the edge. It's important because it helps describe the size and shape of orbits, and is used to calculate how long it takes objects like planets to complete their orbits around stars.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Subclass of
length
Part of
spheroid
Image
Semimajoraxis.svg
Show 3 more facts
opposite of
semi-minor axis
on focus list of Wikimedia project
Wikipedia:Vital articles/Level/4
maintained by WikiProject
WikiProject Mathematics
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via Wikidata · CC0

~14 min read

Encyclopedic overview

The semi-major (a) and semi-minor (b) axes of an ellipse

In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the two most widely separated points of the perimeter. The semi-major axis (major semiaxis) is the longest semidiameter or one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter. The semi-minor axis (minor semiaxis) of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section. For the special case of a circle, the lengths of the semi-axes are both equal to the radius of the circle.

Excerpted from Wikipedia’s “semi-major axis” article, available under the CC BY-SA 4.0 licence.

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