The TRAPPIST-1 planetary system was first detected in 2016. Last year, further observations showed that there are at least seven planets in the system, each roughly the same size as the Earth.
These are named TRAPPIST-1b, c, d, e, f, g and h, with increasing distance from the central star.
Scientists from the European Southern Observatory led by Simon Grimm at the University of Bern in Switzerland have applied very complex computer modelling methods to all the available data and have determined the planets' densities with much better precision than was possible before.
"The TRAPPIST-1 planets are so close together that they interfere with each other gravitationally, so the times when they pass in front of the star shift slightly," said Grimm.
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"These shifts depend on the planets' masses, their distances and other orbital parameters," he said.
"With a computer model, we simulate the planets' orbits until the calculated transits agree with the observed values, and hence derive the planetary masses," he added.
They seem to contain significant amounts of volatile material, probably water, amounting to up to five per cent the planet's mass in some cases. By comparison the Earth has only about 0.02 per cent water by mass, researchers said.
TRAPPIST-1b and c, the innermost planets, are likely to have rocky cores and be surrounded by atmospheres much thicker than Earth's.
TRAPPIST-1d, meanwhile, is the lightest of the planets at about 30 per cent the mass of Earth. Scientists are uncertain whether it has a large atmosphere, an ocean or an ice layer.
It is mysterious that TRAPPIST-1e appears to be so much rockier in its composition than the rest of the planets.
In terms of size, density and the amount of radiation it receives from its star, this is the planet that is most similar to Earth.
TRAPPIST-1f, g and h are far enough from the host star that water could be frozen into ice across their surfaces.
"It is interesting that the densest planets are not the ones that are the closest to the star, and that the colder planets cannot harbour thick atmospheres," said Caroline Dorn, from the University of Zurich in Switzerland.
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