By studying tree rings and using a dash of astrophysics, researchers have pinned down a precise year that settlers from Europe were on land that would come to be known as Newfoundland.

Six decades ago, a husband-and-wife team of archaeologists discovered the remains of a settlement on the windswept northern tip of Newfoundland. The site’s eight timber-framed structures resemble Viking buildings in Greenland, and archaeological artifacts found there — including a bronze cloak pin — are decidedly Norse in style.

Scientists now believe that this site, known as L’Anse aux Meadows, was inhabited by Vikings who came from Greenland. To this day, it remains the only conclusively identified Viking site in the Americas outside of Greenland.

But many questions remain about L’Anse aux Meadows: Who exactly settled it? Why? And, perhaps most importantly, when was the site occupied? Pinning down the settlement’s age has been a challenge — radiocarbon measurements of artifacts from L’Anse aux Meadows span the entire Viking Age, from the late eighth through the 11th centuries.

But in results published Wednesday in Nature, scientists presented what they think are new answers to this mystery. By analyzing the imprint of a rare solar storm in tree rings from wood found at the Canadian site, scientists have decisively pinned down when Norse explorers were in Newfoundland: the year A.D. 1021, or exactly 1,000 years ago.

Getting a more precise handle on when the Vikings inhabited L’Anse aux Meadows is important, said Michael Dee, a geoscientist at the University of Groningen in the Netherlands and an author of the study.

“It was the first time the Atlantic Ocean was crossed,” he said, adding that establishing exact dates helps mark a turning point in the history of human movement around the planet.

To determine when the site was occupied with greater precision, Dr. Dee and his colleagues analyzed three pieces of wood collected from L’Anse aux Meadows in the 1970s. Each piece, originating from a different tree and still bearing its outer bark, had been cleanly cut with a metal tool, perhaps an ax. That’s a giveaway this wood was cleaved by Vikings, said Margot Kuitems, an archaeologist at the University of Groningen, and a member of the team.

“The local people didn’t use metal tools,” she said.

Back in the laboratory, Dr. Kuitems cut a tiny amount of wood from each tree ring of each piece. It was like splitting hairs, she said. “I used a scalpel, but sometimes that was even too thick.”

Working those samples — each representing one year of tree growth — the team isolated the carbon within the wood. All that carbon originally came from Earth’s atmosphere.

“It’s taken up with photosynthesis,” Dr. Dee said.

The vast majority of the carbon in the atmosphere is carbon 12, a stable atom with six protons and six neutrons. Only a fleeting fraction is radioactive carbon 14, also called radiocarbon. That isotope of carbon is produced when cosmic rays — high-energy particles from the sun or beyond the solar system — interact with atoms in Earth’s atmosphere.

Scientists who study cosmic rays used to think that these particles arrived in a relatively constant barrage, meaning that the ratio of carbon 14 to carbon 12 in the atmosphere has largely remained steady over time. But then in 2012, researchers found two cedar trees in Japan that recorded inexplicably high levels of radiocarbon in their rings dating A.D. 774 to 775. That spike is now known as a Miyake event for its discoverer, Fusa Miyake, a cosmic ray physicist at Nagoya University in Japan. Other Miyake events have since been spotted in tree ring records, but they remain exceedingly rare.

“At the moment we only have three or four in all of the last 10,000 years,” Dr. Dee said.

But it just so happened that another Miyake event occurred during the Viking Age, in A.D. 992 to 993. Trees found worldwide record an uptick in carbon 14 around that time, and wood found at L’Anse aux Meadows should be no exception. In the hopes of pinning down the age of the Americas’ only confirmed Viking settlement, Dr. Dee and his colleagues turned to the unlikely marriage of dendrochronology — the study of tree rings — and astrophysics.

“We realized that this could change the game,” Dr. Dee said.

The researchers found that their three pieces of wood all exhibited a pronounced increase in radiocarbon that began 28 rings before their outer bark. Ring 28 must correspond to the year A.D. 993, the team concluded. They ruled out earlier and later Miyake events based on the carbon 14 to carbon 12 ratios measured in the wood, which vary in known ways over centuries.

With a date now pinned to an inner tree ring, “all you need to do is count to when you get to the cutting edge,” Dr. Dee said. The three pieces of wood the team analyzed were all felled in 1021, the researchers calculated.

Until now, estimates of when L’Anse aux Meadows was occupied have very much been “guesstimates,” said Sturt Manning, an archaeologist at Cornell University and the director of the Cornell Tree Ring Laboratory, who was not involved in the research. “Here’s hard, specific evidence that ties to one year.”

But L’Anse aux Meadows hasn’t given up all of its secrets just yet, and more remains to be understood about its Viking inhabitants, said Mathias Nordvig, a historian specializing in Old Norse literature and culture at the University of Colorado, Boulder, also not involved in the study.

“What was its significance?” he asked about the site. “And where did they go from there?”

When the Vikings left the familiar fjords of Norway for icy, uncharted territories, they were at the mercy of weather. They had no magnetic compasses, and no way to ward off stretches of heavy clouds or fog that made it difficult to navigate by sun. How the explorers traversed open ocean during these times is a mystery that has long captivated scholars.

Norse sagas refer to a sólarstein or “sunstone” that had special properties when held to the sky. In 1967, a Danish archaeologist named Thorkild Ramskou suggested these were crystals that revealed distinct patterns of light in the sky, caused by polarization, which exist even in overcast weather or when the sun dips below the horizon.

Multiple translucent crystals fit the bill, namely calcite, cordierite and tourmaline. None have ever been found at Viking archaeological sites, but a calcite crystal was discovered in the wreck of a British warship from the 1500s, indicating it might have been a tool known to advanced ocean navigators.

A study published Wednesday in Royal Society Open Science advances this idea, suggesting the Vikings had a high chance of reaching a destination like Greenland in cloudy or foggy weather if they used sunstones and checked them at least every three hours.

Dénes Szás and Gábor Horváth, authors of the new study and physicists at Eötvös Loránd University in Hungary, are part of a research group that has spent years scrutinizing the possibility that Vikings employed sunstones.

In 2014, the group suggested a medieval artifact called the Uunartoq disc was part of a sun compass that the Vikings used in conjunction with sunstones.

Their latest work uses a computer model that simulated 3,600 three-week trips from Norway to Greenland under varying cloud cover at two dates, spring equinox and summer solstice, which are marked on the Uunartoq disc.

If the Vikings oriented their ship with calcite, cordierite or tourmaline at least every three hours, the model showed, they had a 92 to 100 percent chance of getting within sight of Greenland. These are “surprisingly large success rates” for navigating in overcast conditions, the authors noted.

The key to sunstone navigation is polarization, a process that filters light rays so they can only move in one plane. Sunlight starts out oscillating in multiple planes, but atmospheric particles create concentric rings of polarized light around the sun, even on cloudy days. Though some animals, like ants and crickets, can detect these patterns, polarization is practically indiscernible to the naked human eye.