New Theory Explains How the Moon Got There; Accounts for Flaws in Current 'Giant Impact' Hypothesis

Earth and Moon formed following a massive collision billions of years ago. A new theory answers questions about their composition and the Moon’s orbit. 

Credit: NASA image

The textbook theory of lunar formation goes like this: Late in the formation of the solar system came the “giant impact” phase, when hot, planet-sized objects collided with each other. A Mars-sized object grazed what would become Earth, throwing off a mass of material from which the moon condensed. This impact set the angular momentum for the Earth-moon system, and gave the early Earth a five-hour day. Over millennia, the moon has receded from the Earth and the rotation has slowed to our current 24-hour day.

Scientists have figured this out by looking at the moon’s current orbit, working out how rapidly angular momentum of the Earth-moon system has been transferred by the tidal forces between the two bodies, and working backward.

But there are a couple of problems with the textbook theory. One is the moon’s surprisingly Earth-like composition. Another is that if the moon condensed from a disk of material rotating around Earth’s equator, it should be in orbit over the equator. But the moon’s current orbit is tilted 5 degrees off the equator, meaning some more energy must have been put in to move it.

An alternative to explain it all

Stewart, her former postdoctoral fellow Matija Ćuk (now a scientist at the SETI Institute in Mountain View, California), with Douglas Hamilton at the University of Maryland and Simon Lock, Harvard University, have come up with an alternative model.

In 2012, Ćuk and Stewart proposed that some of the angular momentum of the Earth-moon system could have been transferred to the Earth-sun system. That allows for a more energetic collision at the beginning of the process.

In the new model, a high-energy collision left a mass of vaporized and molten material from which the Earth and moon formed. The Earth was set spinning with a two-hour day, its axis pointing toward the sun.

This animation shows the relative orientations of Earth’s spin and the Moon’s orbit during the Laplace plane transition. Soon after Earth and Moon form, Earth’s axis points towards the Sun (blue) as the Moon orbits Earth (red circle). Over millions of years, the Moon orbits further from the Earth and the Earth’s day gets longer. At the LaPlace Plane transition, a transfer of angular momentum causes Earth’s axis to tilt perpendicular to the Sun.

Credit: Matija Cuk, SETI Institute 

Because the collision could have been more energetic than in the current theory, the material from Earth and the impactor would have mixed together, and both Earth and moon condensed from the same material and therefore have a similar composition.

As angular momentum was dissipated through tidal forces, the moon receded from the Earth until it reached a point called the “LaPlace plane transition,” where the forces from the Earth on the moon became less important than gravitational forces from the sun. This caused some of the angular momentum of the Earth-moon system to transfer to the Earth-sun system.

This made no major difference to the Earth’s orbit around the sun, but it did flip Earth upright. At this point, the models built by the team show the moon orbiting Earth at a high angle, or inclination, to the equator.

Over a few tens of million years, the moon continued to slowly move away from Earth until it reached a second transition point, the Cassini transition, at which point the inclination of the moon — the angle between the moon’s orbit and Earth’s equator — dropped to about 5 degrees, putting the moon more or less in its current orbit.

The new theory elegantly explains the moon’s orbit and composition based on a single, giant impact at the beginning, Stewart said. No extra intervening steps are required to nudge things along.

“One giant impact sets off the sequence of events,” she said.

The research was supported by NASA.   The work is published Oct. 31 in the journal Nature.

Contacts and sources:
Andy Fell, UC Davis 

Sarah T. Stewart, UC Davis Earth and Planetary Sciences

Citation: Tidal evolution of the Moon from a high-obliquity, high-angular-momentum Earth Matija Ćuk, Douglas P. Hamilton, Simon J. Lock & Sarah T. Stewart
http://www.nature.com/nature/journal/vaop/ncurrent/full/nature19846.html

More on the origins of Earth and Moon (Sarah Stewart’s web page)