Oblate Spheroid - Aspect Ratio

Aspect Ratio

The aspect ratio of an oblate spheroid/ellipse, b:a, is the ratio of the polar to equatorial lengths, while the flattening (also called oblateness) f, is the ratio of the equatorial-polar length difference to the equatorial length:

These are just two of several different parameters used to define an ellipse and its solid body counterparts, all of which are ultimately trigonometric functions of the ellipse's modular angle, or angular eccentricity.

The oblate spheroid is the approximate shape of many planets and celestial bodies, including Saturn and Altair, and – to a lesser extent – the Earth (with a = 6378.137 km and b ≈ 6356.752 km, providing an aspect ratio of 0.99664717, a flattening of 0.003352859934, and inverse flattening of 298.2572). It is therefore the most-used geometric figure for defining reference ellipsoids, upon which cartographic and geodetic systems are based.

Read more about this topic:  Oblate Spheroid

Famous quotes containing the words aspect and/or ratio:

    As regards the celebrated “struggle for life,” it seems to me for the present to have been rather asserted than proved. It does occur, but as the exception; the general aspect of life is not hunger and distress, but rather wealth, luxury, even absurd prodigality—where there is a struggle it is a struggle for power.
    Friedrich Nietzsche (1844–1900)

    Personal rights, universally the same, demand a government framed on the ratio of the census: property demands a government framed on the ratio of owners and of owning.
    Ralph Waldo Emerson (1803–1882)