The rate at which an object accelerates due to gravity, a key target for testing antimatter behavior.Gravitational acceleration is the rate at which an object's velocity changes due to gravity. On Earth, it is approximately 9.8 m/s² near the surface, but it varies slightly with altitude and latitude. This quantity is a fundamental test for theories of gravity, especially when applied to antimatter, which is expected to fall the same way as matter under general relativity but has never been directly measured until recently.
Galileo Galilei first demonstrated that gravitational acceleration is independent of mass in the early 17th century. Isaac Newton later formulated the law of universal gravitation in 1687. The first direct measurement of antimatter's gravitational acceleration was reported in 2023 by the ALPHA-g collaboration at CERN.
Gravity causes all objects to accelerate toward each other. For a body like Earth, the acceleration experienced by a test object depends on the mass of Earth and the distance from its center, following Newton's law of universal gravitation. In general relativity, this acceleration is a manifestation of spacetime curvature. Measuring gravitational acceleration on antimatter requires trapping antiparticles (like antihydrogen) and observing their free-fall motion, which is challenging because antimatter annihilates on contact with matter.
Gravitational acceleration is used in navigation (e.g., inertial guidance systems), geophysics to map underground structures, and in tests of fundamental physics, including the equivalence principle for antimatter.
The gravitational acceleration on the surface of a neutron star is about 10^12 m/s² — a billion times stronger than on Earth — which would flatten any object instantly.
| u | variable | zonal wind component — velocity metre per second |
| z | variable | vertical coordinate — length metre |
| Θ | variable | potential temperature — temperature kelvin |
| y | variable | meridional coordinate — length metre |
| f | constant | Coriolis parameter, twice the planetary rotation rate times sine of latitude — coriolis parameter = 1.458e-4 per second |
| g | constant | standard acceleration due to gravity at Earth's surface — gravitational acceleration = 9.80665 metre per second squared |
| Θ₀ | constant | constant reference potential temperature of the background state — reference potential temperature = 300 kelvin |
| ∂/∂z | operator | vertical derivative — partial derivative |
| ∂/∂y | operator | meridional derivative — partial derivative |
| Δf | variable | Change in clock frequency — frequency change hertz |
| f | variable | Clock frequency at reference height — frequency hertz |
| g | variable | Local gravitational acceleration — gravitational acceleration metre per second squared |
| Δh | variable | Height difference — height difference metre |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| κ | variable | sensitivity coefficient |
| Δa | variable | difference in acceleration — acceleration metre per second squared |
| g | variable | gravitational acceleration — gravitational acceleration metre per second squared |
| Δ(q/m) | variable | difference in charge-to-mass ratio — charge to mass ratio coulomb per kilogram |
| h | variable | scale height — length metre |
| T | variable | temperature — temperature kelvin |
| m | variable | mass of particle — mass kilogram |
| g | variable | gravitational acceleration — gravitational acceleration metre per second squared |
| k | constant | relates energy to temperature — boltzmann constant = 1.380649e-23 joule per kelvin |
| v | variable | terminal velocity — velocity metre per second |
| m | variable | mass of the falling object — mass kilogram |
| g | variable | gravitational acceleration — gravitational acceleration metre per square second |
| ρ | variable | density of the fluid — density kilogram per cubic metre |
| A | variable | cross-sectional area — area square metre |
| C_D | variable | drag coefficient — drag coefficient |





