A spheroid, also known as an ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters.

2025年3月5日 · A spheroid is an ellipsoid having two axes of equal length, making it a surface of revolution. By convention, the two distinct axis lengths are denoted a and c, and the spheroid is oriented so that its axis of rotational symmetric is along the z-axis, giving it the parametric representation x = asinvcosu (1) y = asinvsinu (2) z = ccosv, (3 ...

2023年12月27日 · A spheroid is a three-dimensional shape created from a two-dimensional ellipse. The ellipse is an oval, with a major axis (the longer axis), and a minor axis (the shorter axis). If you rotate the ellipse around one of its axes, the shape of the rotated figure is a spheroid. Note: The semi-major axis is half the length of the major axis. The ...

An ellipsoid has three axes of rotational symmetry. If an ellipsoid is rotated 180° (half a turn) about its axes, it will look the same as the original shape. The three axes are perpendicular to each other and they intersect at one point, called the center of the ellipsoid.

A spheroid is a kind of ellipsoid. [1] It is got by rotating an ellipse about one of its principal axes. This means it is an ellipsoid with two equal semi-diameters. Spheres are spheroids. Spheroids that are not spheres are either oblate or prolate. Most celestial objects are oblate spheroids.

A spheroid is the shape that is traced out by rotating an ellipse about one of its two main axes. If the ellipse is rotated about its major axis, the resulting spheroid is called a prolate spheroid, and it looks something like a rugby ball or an American football.

Spheroid Calculator. Calculations at a spheroid (ellipsoid of revolution). A spheroid is an ellipsoid with two semi axes of equal length. There are two forms: the oblate or flattened spheroid with a>c, this is the form of stars and planets. With a<c, it is a prolate or elongated spheroid, like an American football or rugby ball. With a=c, it is ...

In-plane geometry, a spheroid shape, or ellipsoid of revolution, refers to a quadric surface obtained by rotating an ellipse about one of its principal axes. This is to say, a spheroid is an ellipsoid with 2 equal semi-diameters with a circular symmetry.

A spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters. If the ellipse is rotated about its major axis, the result is a prolate (elongated) spheroid, like …

When the ellipse is rotated around its: Axes of an ellipse. These spheroids are the same, just rotated 90°. making it an oblate spheroid, but a very mild version of one. Here are some more examples: A rugby ball lying flat is an oblate spheroid. An egg in a cup, sitting upright it is like a prolate spheroid. A spheroid is a squashed sphere.