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Learn about the different ways to measure and define the radius of Earth, from the equatorial and polar radii to the mean, authalic and volumetric radii. Find out the values in meters, kilometers and other units, and how they vary due to rotation, density and tidal forces.
Learn how to calculate the distance between two points on the Earth's surface using different approximations and formulae. Compare flat, spherical and ellipsoidal models and their errors and limitations.
The astronomical unit (au) is a unit of length used to measure distances within the Solar System or around other stars. It is defined as the radius of an unperturbed circular orbit of a particle around the Sun, and has a value of about 150 million km.
A parsec is a unit of length used to measure the large distances to astronomical objects outside the Solar System, approximately equal to 3.26 light-years or 206,265 astronomical units. Learn how the parsec is defined by trigonometry, how it is used in astronomy and astrophysics, and how it relates to other units of distance.
The haversine formula is a computationally efficient way to calculate the great-circle distance between two points on a sphere, using the chord length of unit sphere. It is accurate for short distances and avoids the rounding errors of the spherical law of cosines formula.
A light-year is a unit of length equal to the distance that light travels in a vacuum in one Julian year. Learn how to convert light-years to other units, such as kilometres, and how the term was coined and used in astronomy.
Learn how to calculate the attenuation of radio energy between two antennas in free space, and how it depends on distance, wavelength, and antenna directivity. See the Friis transmission formula, the inverse square law, and the antenna capture area.
Lunar distance is the average distance between Earth and Moon, which is about 384,000 km or 1.28 light-seconds. The actual distance varies over the orbit of the Moon, and can be influenced by factors such as the Sun, Earth's oblateness, and lunar libration.
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