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LaCoste's most famous invention is the ship- and aircraft-mounted gravimeter. These revolutionized exploration for minerals by allowing wide-ranging geological surveys. The chief problem that Lacoste defeated was to distinguish the accelerations of the vehicles from the accelerations due to gravity, and measure the minute changes in gravity.
A gravimeter is an instrument used ... The "force constant" is just the coefficient of the displacement term in the equation of motion: ... They also invented most ...
A Kater's pendulum is a reversible free swinging pendulum invented by British physicist and army captain Henry Kater in 1817 (made public on 29 January 1818), [1] for use as a gravimeter instrument to measure the local acceleration of gravity.
These field equations are a set of 10 simultaneous, non-linear, differential equations. The solutions of the field equations are the components of the metric tensor of spacetime, which describes its geometry. The geodesic paths of spacetime are calculated from the metric tensor. Notable solutions of the Einstein field equations include:
Three years later came the paper that would make his name famous, Sur les équations du mouvement relatif des systèmes de corps (On the equations of relative motion of a system of bodies). [4] Coriolis's papers do not deal with the atmosphere or even the rotation of the Earth, but with the transfer of energy in rotating systems like waterwheels.
Brahmagupta went on to give a recurrence relation for generating solutions to certain instances of Diophantine equations of the second degree such as Nx 2 + 1 = y 2 (called Pell's equation) by using the Euclidean algorithm. The Euclidean algorithm was known to him as the "pulverizer" since it breaks numbers down into ever smaller pieces.
Pendulums used in Mendenhall gravimeter apparatus, from 1897 scientific journal. Gravity gradiometry is the study of variations in the Earth's gravity field via measurements of the spatial gradient of gravitational acceleration.
Since the field equations are non-linear, Einstein assumed that they were unsolvable. [citation needed] However, Karl Schwarzschild discovered in 1915 and published in 1916 [27] an exact solution for the case of a spherically symmetric spacetime surrounding a massive object in spherical coordinates. This is now known as the Schwarzschild ...