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Roger's Equations

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3753 Cruithne

Posted March 03, 2015 3:54 PM by Bayes

Space is a vast, empty wasteland filled with debris. Take for instance the region of space in the vicinity of Earth's orbit. We are all familiar with the moon, but did you know about the Apollo Asteroids? The Apollo Asteroids are named after 1862 Apollo, a 1.5 km wide asteroid with a semimajor axis of 1.4 AU. Apollo Asteroids cross Earth's orbit and often Venus's as well.

Then there are the Aten Asteroids, named after 2062 Aten, a 1 km wide asteroid with a semi-major axis of less than 1 AU discovered in 1976. There are many Aten Asteroids (see list here) and even more possible candidates. One of the Aten Asteroids is 3753 Cruithne.

3753 Cruithne is a 5 km wide co-orbiting object, orbiting the sun in 1:1 orbital resonance with the Earth. This type of orbit is interesting because of how bizarre it appears from the Earth's perspective. Notice in the image on the right there are three orbits. The blue is Earth's orbit, the red is 3753 Cruithne's orbit about the Sun, and the yellow is how Cruithne appears to orbit from the perspective of Earth. I recommend going to this Wiki to better understand through a gif.

This orbit type, colloquially called a Horseshoe Orbit , is not that uncommon. It is important to note that the image above and the gif on wikipedia given earlier aren't precisely correct. A more correct gif of Cruithne's horseshoe orbit can be found here. If you viewed that last link, you saw that bean shaped orbit in the picture on the right precesses around the sun, creating the horseshoe shape. The total time it takes for one cycle of precessing to create the horseshoe shape is 770 years.

Cruithne's discovery in 1986 has since led to the discovery of other coorbiting objects with similiar resonances such as 5409 YORP, (85770) 1998 UP1, 2002 AA29 and 2009 BD.

So it turns out the solar system is filled with debris trapped in resonances. The two types of asteroids I mentioned today are just two of many different classes of similarly sized objects locked in orbits in resonance with the major planets such as Earth. It's easy to envision space as a vast empty nothing, and it is to a certain extent, but it is maybe a bit more chaotic than we envision in our simple solar system diagrams.

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#1

Re: 3753 Cruithne

03/03/2015 9:26 PM

So there still is a chance that there is another Earth on the opposite side of the sun which we cannot see?

How exciting. Anyway thanks for the info. Its probably a not widely known fact that just completes the picture of our solar system.

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#2

Re: 3753 Cruithne

03/04/2015 2:03 AM

Thanks Roger.

You reckon things are chaotic? I reckon it isn't and a near miss is a still a miss anyway.

To me it's more like a tight tolerance machine.

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Re: 3753 Cruithne

03/06/2015 9:00 AM

I agree with that completely. We tend to worry that there's an asteroid out there with our name on it, and there may be, but I think at this point everything is pretty close to locked in and stable (with tight tolerances).

A few blog entries back I talked about a star that passed very close to our sun (less than a light year) about 70,000 years ago. I think this is the type of event that knocks the machine out of whack and leads to chaos for a little while (a few tens of thousands of years) until the machine settles back down. Those are the times I think we are most at risk for a collision.

It truly is remarkable how many stable configurations there are in the solar system for things to fall into. We tend to think of the planets as gravitational sinks attracting these objects, but there are Lagrange points and resonances that capture them pretty effectively too.

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#5
In reply to #4

Re: 3753 Cruithne

03/06/2015 4:24 PM

"We tend to worry that there's an asteroid out there with our name on it,"

Funny you shoud say that.

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#3

Re: 3753 Cruithne

03/04/2015 3:35 AM

I watched Horizon on BBC2 last night. Apparently, Jupiter formed in about 5 million years and spiralled in towards the sun, clearing up loads of debris before Saturn whipped it out to about where it orbits today. The mathematical models that involve a fifth gas giant being expelled from the early solar system produce something similar to what we see today, and also explain how puny Mars is in comparison to Earth and Venus.

Look out for it on BBC Player. Intriguing.

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