Tool to find the point on the other side of the Earth (Antipodal Coordinates). Two points are said to the antipodes if they are diametrically opposite on a sphere.

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day! A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Tool to find the point on the other side of the Earth (Antipodal Coordinates). Two points are said to the antipodes if they are diametrically opposite on a sphere.

Answers to Questions

What is an antipodal point?

Two points are called antipodal if they are at two opposite points on a circle or a sphere. They are also said to be diametrically opposed or that they are the most distant points of each other on a spheroid.

Example: On Earth, the north pole and the south pole are antipodes.

Example: The antipodes of France is near New-Zealand.

The Earth is assimilated to a sphere, but in practice a more accurate model would be a spheroid (normal ellipsoid) or a geoid.

How to calculate antipode?

From the coordinates on a sphere, take the opposite value of the latitude (which is to put or remove a minus sign -), and remove or add 180 to the longitude (to keep it in the interval [-180; +180]) for GPS coordinates.

Example: The \( -12.345, 67.890 \) coordinates have for antipode \( 12.345, -112.11 \)

From 3D Cartesian coordinates, take the opposite of each component (x, y, z) ie (-x, -y, -z)

Source code

dCode retains ownership of the source code of the script Antipodal Coordinates online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Antipodal Coordinates script for offline use on PC, iPhone or Android, ask for price quote on contact page !