undulation of the geoid.

About undulation of the geoid

The geoid is the shape that the ocean surface would take under the influence of the gravity of Earth, including gravitational attraction and Earth's rotation, if other influences such as winds and tides were absent. This surface is extended through the continents. According to Carl Friedrich Gauss, who first described it, it is the "mathematical figure of the Earth", a smooth but irregular surface whose shape results from the uneven distribution of mass within and on the surface of Earth. It can be known only through extensive gravitational measurements and calculations. Despite being an important concept for almost 200 years in the history of geodesy and geophysics, it was not defined with any degree of precision until the advent of satellite geodesy in the mid-20th century. Mathematician Gladys West was the first person to synthesize a high-fidelity geoid from this satellite data. The geoid is one of the essential components of satellite-based global positioning systems.