Kane cautioned that scientists can't overly attribute Earth's habitability to our moon, because Earth is the only known habitable planet. However, the moon does have an important role: It creates significant tides on Earth, which probably helped create the tidal pools in which early biochemistry could occur.
"The presence of the moon has helped to stabilize changes in the tilt of the Earth's rotational axis, which in turn creates longer periods of climate stability," Kane added. "So although it's difficult to say what the Earth would be like without a moon, we can certainly describe ways in which it has positively influenced our present environment."
For TRAPPIST-1, Kane found that the planets are so tightly packed together that large moons would likely be impossible. While the rotational axes of the planets would quickly change and have more chaotic climates, he said, life could still evolve — it just might take a longer time.
Kane's methodology involved studying the influences of two parameters: the Hill radius, or the area in space in which a planet exerts gravitational influence based on its mass and distance from the host star, and the Roche limit, which identifies where the gravitational effect near a planet is too strong for a moon to survive.
"A moon can only exist around a planet if it lies between these two boundaries: too close and it will be destroyed, too far away and it will escape the gravitational influence of the planet," Kane said. "The results of the study described in my paper show that, for most planets in compact planetary systems, the Hill radius and Roche limit are close enough to each other that there is no space in which a moon can exist and so such planets cannot have moons in orbit around them."
The study is available in Astrophysical Journal Letters.