From falling stones and a famous apple to weighing the Earth, curved spacetime and a lander on the Moon's south pole.
Everyone has always known that things fall. The hard part was seeing that the same pull that drops an apple also holds the Moon in its orbit. Newton wrote the rule in 1687, Cavendish measured its tiny strength in 1798, and Einstein explained it again in 1915 as curved spacetime. Today we steer satellites, correct GPS clocks and land on the Moon with it.
Greek and Indian thinkers argue about why heavy things fall and what holds a round Earth together.
350 BCE
c. 350 BCE
Heavy things fall faster, says Aristotle
AristotleAthens, Greece
Aristotle taught that heavy things fall towards the centre of the universe because that is their natural place, and that a heavier body falls faster than a lighter one. It matched what people saw with feathers and stones in air.
Why it mattered. It was the accepted answer for almost two thousand years, until careful experiments showed that only air makes the difference.
Aryabhata and BrahmaguptaKusumapura and Bhillamala, India
In 499 Aryabhata described a round Earth that spins, hanging in space. In 628 Brahmagupta wrote, as later quoted by al-Biruni, that all heavy things fall to the Earth because it is the nature of the Earth to attract and keep them, just as it is the nature of water to flow. It was an idea in words, not yet a law with numbers.
Why it mattered. It is one of the earliest clear statements that falling is caused by the Earth pulling on things.
Galileo times falling balls, Kepler finds the rules of planets, and Hooke and Newton tie them together with an inverse-square pull.
1590
c. 1589–1592 (story)
Balls from the Leaning Tower, perhaps
Galileo GalileiPisa, Italy
Galileo's student Vincenzo Viviani later wrote that Galileo dropped balls of different weights from the Leaning Tower of Pisa to show they land together. Historians are not sure it really happened, but Galileo did argue it in his writing at Pisa.
Why it mattered. It became the most famous test of the idea that mass doesn't change how fast things fall.
Working from Tycho Brahe's careful observations, Kepler found that planets move on ellipses with the Sun at one focus, sweep out equal areas in equal times, and take longer to go round the further out they are. His first two laws came out in 1609 and the third in 1619.
Why it mattered. Newton later showed that an inverse-square pull explains all three laws at once.
In his last book, Two New Sciences, Galileo showed with balls rolling down slopes that a falling body gains speed at a steady rate, so the distance grows with the square of the time. He also studied pendulums and argued that without air, all bodies would fall together.
Why it mattered. It turned falling into mathematics, the first step towards the idea of g.
Isaac NewtonWoolsthorpe Manor, Lincolnshire, England
Sent home from Cambridge by the plague, the young Newton wondered whether the pull that brings an apple down might reach as far as the Moon. He told the story himself, much later, to his friend William Stukeley, who published it. There is no evidence the apple hit his head.
Why it mattered. It captures Newton's great leap: the same gravity works on Earth and in the sky.
In 1674 Hooke suggested that all heavenly bodies attract each other, and that an orbit is a straight motion bent by that pull. In letters to Newton in 1679–80 he proposed that the pull falls off with the square of the distance. Hooke could not do the mathematics to prove it; the two men argued about credit for the rest of their lives.
Why it mattered. Hooke's letters pushed Newton to work out orbits under an inverse-square force.
Newton's Principia showed that every mass pulls every other mass with a force proportional to both masses and inversely proportional to the square of the distance. With it he explained falling, Kepler's laws, the tides and the paths of comets. Edmond Halley paid for the printing.
Why it mattered. It was the first law of nature that worked the same everywhere in the universe.
A mountain and a twisting rod weigh the Earth, and pencil-and-paper gravity finds a new planet.
1774
A mountain pulls a plumb line
Nevil Maskelyne and Charles HuttonSchiehallion, Scotland
Maskelyne measured how much the mountain Schiehallion pulled his plumb lines sideways, using the stars as a reference. Hutton then worked out the mountain's mass and, from that, estimated that the Earth is about 4.5 times as dense as water.
Why it mattered. It was the first real measurement of the Earth's density, and so of its mass.
Using a torsion balance designed by John Michell, Cavendish hung a 1.8 m rod with small lead balls on a thin wire and swung 158 kg lead balls close. The rod twisted by a tiny angle, which he watched with telescopes from outside the room. He found the Earth is 5.48 times as dense as water (5.45 after a slip was corrected); today's value is 5.51.
Why it mattered. His result gave the mass of the Earth and, later, the value of G.
Urbain Le Verrier and Johann GalleParis, France, and Berlin, Prussia
Uranus kept drifting from where Newton's law said it should be. Le Verrier calculated that an unseen planet must be pulling it, and where to look. Galle pointed the Berlin telescope there and found Neptune within about 1 degree of the prediction on his first night. John Couch Adams in England had made similar calculations.
Why it mattered. It was a triumph for Newton's gravity: a new world discovered by mathematics.
Einstein rebuilds gravity as the shape of spacetime, and an eclipse shows starlight bending round the Sun.
1915
25 November 1915
Gravity is curved spacetime
Albert EinsteinBerlin, Germany
Einstein presented the final equations of his general theory of relativity to the Prussian Academy of Sciences. Mass and energy curve spacetime, and things move along the straightest paths through it. The theory explained a small wobble in Mercury's orbit that Newton's law could not.
Why it mattered. It replaced Newton's force at a distance with the shape of spacetime, and predicted black holes and gravitational waves.
While serving in the German army in the First World War, Schwarzschild found an exact solution of Einstein's equations around a single round mass. It contains a special radius, 2GM ÷ c², now called the event horizon. He died a few months later.
Why it mattered. It was the mathematical seed of the black hole.
Arthur Eddington, Frank Dyson and teamPríncipe and Sobral, Brazil
During a total solar eclipse, expeditions photographed stars near the darkened Sun. The stars appeared shifted by about the amount Einstein predicted, twice what a Newtonian estimate gave. The news made Einstein world-famous overnight.
Why it mattered. It was the first big test that general relativity passed.
Satellites fall round the Earth, GPS clocks obey relativity, detectors hear black holes merge, and India lands near the Moon's south pole.
1957
4 October 1957
The first artificial moon
Soviet space programmeBaikonur, Kazakh SSR
Sputnik 1, a polished 58 cm ball with four antennas, was launched into orbit. It went round the Earth about every 96 minutes, beeping radio signals that anyone could hear. It was Newton's cannonball made real.
Why it mattered. It began the space age: every satellite since has used the same balance of falling and sideways speed.
Standing on the airless Moon, astronaut David Scott dropped a geological hammer and a falcon feather at the same moment. They hit the ground together, live on television.
Why it mattered. It settled Aristotle's question in front of millions: without air, mass doesn't change how things fall.
US Naval Research Laboratory, NTS-2Launched from Vandenberg, USA
NTS-2, the first satellite for the new GPS system, carried the first caesium atomic clock into orbit. Before its correction was switched on, it ran fast by 442.5 parts in 10¹², close to the 446.5 relativity predicted. GPS clocks have been tuned to cancel this ever since: about 38 microseconds a day.
Why it mattered. Without relativity, GPS positions would drift by kilometres every day.
APPLE, the Ariane Passenger Payload Experiment, was India's first experimental communication satellite in geostationary orbit, parked at 102° E. It relayed TV and radio for two years and led to the INSAT and GSAT satellites that serve India today.
Why it mattered. It showed India could place and run a satellite that hangs over one spot of the Earth.
LIGO Scientific Collaboration and VirgoLivingston, Louisiana, and Hanford, Washington, USA
Both LIGO detectors caught a brief chirp: gravitational waves from two black holes, about 35 and 30 times the Sun's mass, merging about 1.4 billion light years away. Their 4 km arms changed length by about a thousandth of a proton's width. The 2017 Nobel Prize in Physics went to Rainer Weiss, Barry Barish and Kip Thorne.
Why it mattered. It confirmed the last big prediction of Einstein's gravity and opened a new way to observe the universe.
ISRO, Vikram lander and Pragyan roverLaunched from Sriharikota, India
After climbing out of Earth's gravity in ever-bigger orbits and being captured by the Moon's, the Vikram lander touched down at 18:04 IST near the lunar south pole. India became the fourth country to soft-land on the Moon, and the first near its south pole.
Why it mattered. Every step of the journey, from parking orbits to the final braking burn, was planned with the law of gravity.