What Were Earth's Rotation Rate and Tilt Before and After the Theia Impact?

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The discussion centers on Earth's rotation rate and axial tilt before and after the Theia impact, as detailed in the paper “Tidal evolution of the Moon from a high-obliquity, high-angular-momentum Earth” by Matija Ćuk and colleagues. Estimates indicate that immediately after the impact, Earth's rotation rate was approximately 3.795 ± 0.405 hours with an axial tilt of 23.3° ± 1.2°. Contrastingly, another source suggests a faster rotation rate of around 2 hours and an axial tilt between 70° and 75°. The moon's initial orbital period was approximately 18.15 ± 0.24 hours, with a distance of 43,807.6 ± 416.4 km from Earth.

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[PLAIN]http://www.ibtimes.com/moons-tilted-orbit-explained-relic-impact-created-earth-moon-system-2439888 said:
Written[/PLAIN] by lead author Matija Ćuk of the SETI Institute and others, the paper, titled “Tidal evolution of the Moon from a high-obliquity, high-angular-momentum Earth,” says Earth’s spin was much faster and at a much steeper angle when it initially formed about 4.5 billion years ago. Earth originally spun on its side with the moon orbiting around its equator, the paper said.

That raised an interesting question in my mind. Wikipedia was not helpful providing answers.

Surely we must have estimates of Earth rotation rate and tilt both pre and post impact with Theia. What are those numbers?
 
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anorlunda said:
That raised an interesting question in my mind. Wikipedia was not helpful providing answers.

Surely we must have estimates of Earth rotation rate and tilt both pre and post impact with Theia. What are those numbers?
I'm not sure, but have you searched on the NASA pages? And it's more than two numbers, because the moon is gradually moving away from us, so it's rather a function of time.
 
anorlunda said:
That raised an interesting question in my mind. Wikipedia was not helpful providing answers.

Surely we must have estimates of Earth rotation rate and tilt both pre and post impact with Theia. What are those numbers?
According to a 2013 simulation, the Earth's rotation rate immediately after the Theia impact was 3.795 ± 0.405 hours. With Earth's axial tilt of 23.3° ± 1.2°. The moon's orbit about the Earth initially took 18.15 ± 0.24 hours, with an initial distance of 43,807.6 ± 416.4 km (just outside Earth's Roche Limit), with an eccentricity of 0.0775 ± 0.0005.

However, http://www.nature.com/nature/journal/vaop/ncurrent/pdf/nature19846.pdf, is suggesting a much faster rotation rate for Earth at ~2 hours immediately after the Theia impact, and that Earth's axial tilt was between 70° and 75° at the time of the impact.

As far as I was able to find, nobody knows what the orbital rate of Earth prior to Theia's impact might have been.

Sources:
http://www.nature.com/nature/journal/vaop/ncurrent/pdf/nature19846.pdf - Nature, October 31, 2016, doi: 10.1038/nature19846
Tidal Evolution of the Moon from a Fast-Spinning High-Obliquity Earth - 47th Lunar & Planetary Science Conference (2016) [PDF]
N-Body Simulation of the Formation of the Earth-Moon System from a Single Giant Impact - arXiv 1307.7062
 
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