The series "Imaginary Earths" speculates what the world might be like if one key aspect of life changed, be it related to the planet or with humanity itself.
Earth is the only planet traveling within its nearly circular orbit around the sun. But what if Earth shared its orbit with another planet?
One of the most unusual ways in which two planets might "co-orbit," or share the same zone around their star, are so-called horseshoe orbits. Instead of both worlds moving in a circle around a star, each would move along the edge of their own somewhat horseshoe-shaped track, with these crescents facing each other like two halves of a broken ring.
"I think horseshoe orbits are among the most exciting configurations for other Earths," astrophysicist Sean Raymond at the Laboratoire d'Astrophysique de Bordeaux in France, told Live Science. "Since the two planets formed in the same disk around the same star, and likely from similar stuff, studying their evolution is akin to studying the lives of twins separated at birth."
Horseshoe orbits might sound extraordinarily unlikely. However, Saturn's moons Janus and Epimetheus travel in horseshoe orbits about 93,000 miles (150,000 kilometers) from the planet, just beyond Saturn's main rings, Raymond noted. The closest they get is about 9,300 miles (15,000 km) from one another.
Let's imagine what horseshoe orbits might look like with a pair of Earth-size worlds in the sun's habitable zone — the area surrounding a star temperate enough for liquid water to survive on a planet's surface. Let's name these worlds Terra and Tellus, both Latin words for "Earth."
At their closest possible approach to each other, Terra and Tellus would come within about 4% to 5% of an astronomical unit (AU), the average distance between Earth and the sun (which is about 93 million miles, or 150 million kilometers). At such a distance, they would look as large to each other as one-quarter to one-fifth the diameter of the full moon, Raymond said. Afterwards, they would slowly recede away from each other until they passed out of sight of one another behind the sun.
"It would be awesome to see the horseshoe companion grow in the sky to become a dominant source of light," Raymond said.
The length of these cycles of approaches and departures depends on the width of the horseshoe orbits. For Terra and Tellus, the horseshoe orbits would extend from about 0.995 AU to about 1.005 AU, so it would take about 33 years between close encounters, Raymond said. The tiny shifts in distance from the sun would likely mean the climates of Terra and Tellus would not change much as they switch between sides of their horseshoe orbits, he noted.
What might life be like on Terra and Tellus? Raymond could imagine rivalries and partnerships between the planets, including wars and star-crossed love stories. One might also imagine that long before they launched missions to one another, these worlds might engage in long-distance pen pal relationships over radio.
Horseshoe Earths would likely evolve during the course of planetary formation as protoplanets, or embryonic worlds, both having collided and migrated from one orbit to another.
"Some fraction of the time, a horseshoe configuration will pop up," Raymond said. "Exactly how frequently this happens has never been studied carefully to my knowledge."
Still, "even if it's a one-in-a-million occurrence, that still leaves plenty of potential horseshoe Earths among the hundreds of billions of stars in the galaxy," Raymond concluded.
Originally published on Live Science.
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So this article is a bit misleading in the third sentence: "Instead of both worlds moving in a circle around a star ...." The horseshoe orbits come about because the reference frame is rotating. In a non-rotating frame, Janus and Epimetheus both orbit with close to circular orbits, but at different speeds and one closer to Saturn than the other. When the two moons get close to each other their mutual gravitational causes one to speed up and one to slow down and the moons exchange as to which is in the inner orbit and which the outer. (Think speed skaters in the Olympics when they exchange inner and outer tracks in the crossing straight. ) Thus from a rotating frame of reference it appears to be a horseshoe pattern when they are still traveling in roughly circular orbits.Reply
Note that 3753 Cruithne has a resonant orbit with the earth around the sun. Its path in the sky from earth appears to be a horseshoe orbit.