# What is the average distance between objects in our asteroid belt?

We've all seen sci-fi movies with asteroid belts that require "great skill" to fly through, but how dense is the asteroid belt really?

How much of the belt could you see from the surface of a given asteroid?

Is it uneven, with dense and sparse patches?

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Somewhere on the astrology site they mention if you stood on one at random, you probably couldn't see any other with the naked eye. – Mooing Duck Oct 28 '14 at 0:32

The NASA Dawn mission sees a craft headed toward the Asteroid belt as we speak - they intend to do well, navigating to Ceres and Vesta, and more.

Our intuitive knowledge of the universe tells that there will be both semblance chaos and order, with bodies having dominating factors, creating mini, seemingly orderly systems which could or would eventually lead to collisions, but we can be sure there's a lot more space than there are objects.

The actual spacing between each of the objects can't really be known entirely, we don't even know of all the objects in the main asteroid belt; however, we can estimate based on the knowledge that we do have - the Dawn site also has some information on this, so to quote a concise passage:

Asteroids are not distributed uniformly in the asteroid belt, but could be approximated to be evenly spaced in a region from 2.2 AU (1 AU is 93 million miles, or the average distance between Earth and the Sun) to 3.2 AU from the Sun and extending 0.5 AU above and below the ecliptic (the plane of Earth's orbit, which is a convenient reference for the solar system). That yields a volume of roughly 16 cubic AU, or about 13 trillion trillion cubic miles. (Note: space is big!)

Standing on the face of an asteroid and looking into the belt wouldn't give you a particularly revealing view of the belt on the whole, in fact objects in space would seem somewhat sparse at that level. The further away from it you are (within visibility) and ideally from an angle above the orbital plane, the more of a picture you would build of it being a 'belt.'

Also, here is a decent read with some observational analysis on the asteroid belt’s orbital and size distribution.

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This doesn't answer the question at all. You get as far as saying that we can estimate the density from known data, then calculate the volume of the asteroid belt and then just say that it's "somewhat sparse". "Somewhat sparse" could mean anything from "There are pretty big gaps and you could pilot a spaceship through it with moderate skill" to "Actually, you could just point your ship in the direction you want to go, close your eyes and travel straight through the whole thing without hitting anything." I guess it's the latter, since we've sent several unpiloted probes through the belt. – David Richerby Oct 28 '14 at 9:44

Wikipedia estimates about 1.5 million asteroids in the main asteroid belt that are larger than 1 km (about 0.6 miles). With the total volume of 13 trillion trillion cubic miles given above, that would about 8 million trillion cubic miles per asteroid. Taking the cube root of this gives a typical separation of 2 million miles, or about 8 times the distance from the Earth to the moon.

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Finally, some numbers! But it would still be useful to have information on smaller asteroids: you wouldn't want to hit a 100m asteroid, for example, and I assume there are many more of those than there are 1km+ asteroids. – David Richerby Oct 28 '14 at 9:47

Dr. Marc D. Rayman, Chief Engineer of the Dawn mission, gives some better statistics and analogies here: Dawn Journal: November 27, 2009

Dawn will travel 7.7 astronomical units (AU), or nearly 1.2 billion kilometers (almost 720 million miles), to its July 2011 rendezvous with Vesta. Yet in all that time, and across all that distance, the closest the probe will come to a catalogued asteroid is 1.0 million kilometers (greater than 600 thousand miles), or more than 2.5 times the distance between Earth and the moon.

The set of cataloged objects ranges down to typically a few kilometers across, with some as small as about one kilometer. But he also notes that Dawn is in fact prepared to hit some small particles. Since they are travelling in the same general direction as most objects, the relative velocity will be low and they have protected sensitive parts of the spacecraft, so collisions are not seen as a serious threat to the mission.

I'd still like to see some more details on how big a particle they can hit and what the risk actually is. These references may be of use, and suggest that there is still a lot of uncertainty in even what the right power law value is for the more risky smaller chunks and particles out there:

And here is another fun related pdf, with a cool picture of the debris of an asteroid collision, and calculations on density and frequency:

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To put it simply, every sci-fi movie that ever featured one does grotesque disservice to what an asteroid field is really like. In fact, an X-wing pilot, for instance, rather than having to swoop and dodge, would probably have a difficult time telling that he is even in an asteroid field.

I'll also endorse Stuart R.'s link working through the math, reproduced here.

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It all depends on the size of the asteroids that you're talking about. The asteroid belt in our solar system is so vast that even if you go down to ~1-meter sized objects, each one can have over 4000 square kilometers all to itself. And that's without factoring in the fact that the asteroid belt has a third dimension to it.

But, there are clumps, "families," and other inhomogeneities to the belt. Some asteroids do generally travel together, but they are still very spread out relatively speaking to what you see in movies and TV shows. The main exception would be cases of asteroids with moons, such as Gaspra and Ida.

Here's a link that goes through some of the math.

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Talking about "4000 square kilometers all to itself" is confusing. That refers to a similarly confusing 2D calculation in the link you provide, which is based on an area calculation looking down on the asteroid belt. That could provide a cross-sectional density for a vertical traversal through the belt, I guess. The risk would be significantly higher if going on an outward traversal in the plane of the ecliptic, and the references I give in my answer should be more helpful for that calculation. – nealmcb Jul 27 '11 at 17:56

The analogy my freshman astronomy teacher used was if you scale the average-sized asteroid down to the size of a potato, then the potatoes would be about a kilometer apart on average.

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What do you mean by an "average-sized asteroid?" Average over what population, weighted by what? – nealmcb Jul 27 '11 at 14:34
Surely it doesn't really matter over what population, the bigger the asteroid the more material is part of the asteroid and stronger it's gravity so the bigger it's surrounding cleared area and the bigger the average gap, so it would be roughly in the same scale/ratio – Jonathan. Jul 28 '11 at 0:09

Asteroid fields, as depicted in SciFi movies, are not stable. Over time, they would either dissipate, all those pieces of rock slowly floating away from each other; or, if they are big enough, they would collapse gravitationally and form a loose heap.

Dense aggregation of rocks, as shown in the movies, are not impossible. Some kind of low-probability collision event may produce them every once in a while, given how big the Universe is. But if you ever encounter one in your cosmic travels: first off, it's a highly unlikely event; and secondly, they are pretty fresh creations - take a good look, because they are going to dissipate in a blink of a cosmic eye.

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Why was this downvoted? – Larry Gritz Sep 19 '11 at 17:19

So basically, You not at much risk piloting through an Established asteroid Field/Belt, Unless you trying to pilot something Huge like a Planet through it.

But in star Wars, In the case of the destruction of Alderan, It is in that one case, a risky proposition as it is a newly created debris field which hasn't had time to Stabilize.

In the Asteroid Field after the Battle of Hoth in Empire strikes back, Thought he field seemed a Little to dense. the Smaller ships didn't really have to much trouble until flying up close and personal with a large asteroid.

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