Gravity is the fundamental force of attraction between masses, governing the motion of celestial bodies and the structure of spacetime.Gravity is the weakest of the fundamental interactions, but it shapes the large-scale structure of the Universe. Classical physics describes it with Newton's law of universal gravitation, where the force is inversely proportional to the square of the distance. General Relativity replaces force with geometry: mass and energy tell spacetime how to curve, and curved spacetime tells matter how to move.
Kepler's laws (early 17th century) described planetary motions, but the universal law of gravitation was formulated by Newton. In 1915, Einstein created General Relativity, where gravity propagates at the speed of light, not instantaneously. The ideas of Henri Poincaré and Hendrik Lorentz paved the way for relativity. Direct proof of GR came with the detection of gravitational waves from black hole mergers by LIGO in 2015.
According to GR, mass and energy curve spacetime, and free particles move along geodesics—the shortest paths in this curvature. Einstein's equations: R_{μν} - ½ R g_{μν} = (8πG/c⁴) T_{μν} define this connection. In the weak-field limit, Newton's law F = G·m₁·m₂/r² is obtained. Gravitational waves are perturbations of the metric propagating at the speed of light. Quantum gravity attempts to describe gravitational interaction at Planck scales.
Without accounting for gravity, satellite launches and accurate GPS operation would be impossible: clocks on satellites run slightly faster due to lower gravity, and without corrections, a navigator would be off by kilometers.
Clocks on the top floor of a skyscraper run slightly faster than on the ground floor: over 100 years, the difference would be about 10 microseconds—a manifestation of gravitational time dilation.
| F | variable | force exerted on the sphere — force newton |
| P | variable | pressure applied to the surface — pressure pascal |
| A | variable | area over which pressure acts — area square metre |
| F | variable | Friction force — force newton |
| γ | variable | Damping coefficient (friction coefficient) — damping coefficient kilogram per second |
| v | variable | Velocity of the object — velocity metre per second |
| 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 |
| \mathbf{F} | variable | gravitational force vector — force newton |
| m_1 | variable | mass of first object — mass kilogram |
| m_2 | variable | mass of second object — mass kilogram |
| r | variable | distance between the centers of mass — distance metre |
| \hat{\mathbf{r}} | variable | unit vector pointing from one mass to the other — unit vector |
| G | constant | Newtonian gravitational constant, fundamental constant of gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |










