Walking to Pluto: Step 1

 

Compare the sizes of Earth and Pluto & Charon Image Credit: NASA

Compare the sizes of Earth and Pluto & Charon (Pluto’s shadow isn’t that big on Earth!) Image Credit: NASA

It’s been a super-fantastic #PlutoFlyby day (see the video for a Pixel Gravity simulation of New Horizons’ close approach path on 7/15/2015), and I can’t resist going to one of my favorite astronomy projects:  building a scale model of the Solar System that takes you out of the house, out of the classroom, and under the sky.  (Where maybe Pluto’s shadow, cast by a distant star, will pass over you.)

As a reminder, you can look for the following in any Messy Monday project:

  1. A set of notes for project leaders, sketching the key elements of the project and the science topic it is meant to address
  2. A detailed supply list, structured to make it simple to purchase supplies for either a one-shot demonstration or for a classroom-sized group activity.
  3. A set of instructions for working through the project with students, including commentary to help cope with common classroom-management issues, questions that are likely to arise, and issues to keep in mind from safety to fairness.
  4. A rough estimate of the cost to run the project.

 

As before, I’ll break down the presentation into four postings, to spare readers trying to scroll through a 5000-word document, but I’ll post them quickly, so you can jump ahead if you are raring to go or want to access the reference materials first.  In other projects, we built our own comets. In this project, we travel out into the solar system, hoping to reach the source of that comet.

 

Step 1: Space is Big

It’s a long way to Pluto. But as far as the Universe is concerned, Pluto’s in our condo’s tiny back yard. What would it be like, though, to take a hike to Pluto? Like the New Horizons Spacecraft spacecraft buzzing past Pluto and its cluster of moons, but, well, maybe taking a bit less time about it. Nine years (the explorer was launched in early 2006) is longer than even the above-average student’s attention span. What if we could shrink the Solar System down to a reasonable size for nice walking field trip?

Paths of the nine planetary objects orbiting the Sun for many years.

Paths of the nine planetary objects orbiting the Sun for many years (A Pixel Gravity simulation result.)

No surprise here: it’s been done. Six ways to Sunday, in fact. While no one person claims to own the idea of building a scale model of the solar system, my favorite advocate of such models is Guy Ottewell, who likes a scaling factor that makes the model a reasonable size for the average person to walk. You can buy his book on the subject (now with cartons!) at the books page on his website. As a bonus, you’ll also find the most current editions of all of his other books on astronomy and much more.   (He self-effacingly describes his annual Astronomical Calendar as “widely used”; a more-accurate description would be “fanatically used by serious amateur astronomers”.)  No disclaimer necessary;  we’re not friends, I’m just one of his (many) Twitter followers.

The goal of this project is for everyone involved to obtain a personal sense of the feature of Outer Space that is hardest to conceptualize by reading books and trolling the internet: Space is BIG. (Yes, you may pause to reread the opening to The Hitchhiker’s Guide to the Galaxy, by Douglas Adams.)  Indeed. Really Really Big.

Our neighbor galaxy, Andromeda (Image Credit:  ESA/Hubble)

Our neighbor galaxy, Andromeda (Image Credit: ESA/Hubble)

On top of that, the places you can stop—the non-empty bits—are few and very tiny compared with the distances between them.  And it takes a long time to get from one stop to another.

So, when assembling materials and presenting this project, keep these two key goals in mind. It’s not important whether you model Earth as a peppercorn (Ottewell’s model) or an allspice seed (easier to find in my own kitchen) or a spitwad from the ceiling that happens to be about a tenth of an inch across.   What’s important is that the Earth is not only extremely teensy compared to the Sun, but you can’t even fit the Sun and Earth into an ordinary classroom. And you have to hike at least a half a mile (a kilometer) if you want to make it to Pluto. With any luck, you can make practical use of the excess energy in a classroom-full of kids and also amaze them. If you’re doing this as a classroom helper and the teacher is used to taking advantage of the time to catch up on infinite paperwork, this is a time to persuade that teacher to shove the paperwork aside and join the expedition. There will be no regrets!

The objects used to represent planets and other bodies should be chosen for familiarity, because you want the participants to absorb the scale comparisons effortlessly. “Everyone knows” how big a jellybean is, a pin is familiar—both the pushing end and the painful poking end—a soccer ball is a known object, and so on. It doesn’t matter if the object you use is not exactly the design diameter—and no one is going to care that jellybeans or coffee beans are bumpy ovoids, not spheres. The next time you’re eating a jellybean (or slurping a Starbucks), at the back of your mind will be “I had to hike a half-mile just to get to this little Neptune here”.   Plus, “Yum, astronomy is delicious.”

If you’re interested in the underlying concepts, I encourage you to stop by the National Optical Astronomy Observatory’s website and read Guy Ottewell’s original 1989 description of his Thousand Yard Model; however, if you consider yourself a mathphobe, don’t let the arithmetical computations worry you. I’ve made you an Excel worksheet to do that task. Running a mind-expanding science project should help relieve that condition, not make it worse.

If you have visited a museum’s scale model, read Ottewell’s book, or done a similar project in the past, there are a few differences you may encounter in this project. In particular, I suggest you avoid having planets represented by peanuts. Including nuts in school projects, can be problematical if any student (or parent helper) with nut hyper-allergy could possibly be affected. (I have relatives with this allergy, and there is nothing quite like coping with anaphylactic shock to ruin a day’s outing.)

Dwarf Planet Ceres Image Credit:  NASA/JPL-Caltech/UCLA/MPS/DLR/IDA

Dwarf Planet Ceres Image Credit: NASA/JPL-Caltech/UCLA/MPS/DLR/IDA

I’ve included a few more “destinations”—such as the ever-popular asteroid “belt” and my personal favorite of Pluto’s fellow dwarf planets. The number of steps taken between planets (and other destinations) is greater, because kids take shorter steps than grown-ups. (Also, other models I’ve seen assume a stride length more typical of men—and the majority of teachers and parent volunteers are still women, with shorter strides than men.) And I’ve included the current (for now, at least) locations for a few more distant “destinations” that we can look out towards from our turnaround point at Pluto.

The tables I’ve provided are in both English and SI units. The scales are slightly different between the two, in order to yield intuitively-scaled results in either set of units. And I’ve provided a “cheat sheet” of the key data for a teacher or other presenter to carry as a reference source on the walk. If anyone would like to get completely precise and build their own model matching their pace length exactly, or adjusting to a different scale, you can request a copy of my Excel workbook for this project to create your individualized pace-off. Or if you know a Senior Girl Scout or Boy Scout in need of a Gold Star or Eagle project, a community solar system model would be a very cool service project. (C’mon, Scouts, do you really want to build another park bench?)

Speaking of space, and coolness, and peanuts, and bigness, by the time your group finishes this project—everyone who participates should wholeheartedly agree:  Space is Big

A Sign From NASA

A Sign From NASA

 

 

 

You might also like to read:

Avoiding HyperboleAvoiding Hyperbole

OK, right, it’s been so long since the last post that even my backup program is writing me off as too far gone. Too bad, Updraft, back to work, you lazy batch of code.

True, some comets hare off to interstellar space on hyperbolic orbits. However, two or three things:
1) There’s much to be said for the sweet homey stability of an elliptical orbit.
2) On a hyperbola, there are two arms, and who’s to say if you’re on the right one?
3) My top speed is less than 2 m/sec whereas an escape trajectory on Earth demands moving at about 11,500 m/sec.
4) I’m not actually a comet, I’m a human being who is interested in comets both as astronomical objects and as metaphorical images.
5) That’s four or five things.

Aiee Hyperbola Wiki

Redlining on a hyperbola. Aieeee!

Stuff happens, and it’s not exactly a huge crime to neglect a blog that no-one is reading. Last year, I whined about the inconveniences of having a broken arm. Well, there’s worse stuff than a broken arm. Besides, I needed time to read other people’s websites. Like catching up on the doings at Gunnerkrig Court. Like reading anything about robots that turns up on IEEE Spectrum. Or reliving grad school days on Jorge Chan’s Ph.D. comic. Or vacillating between reading Allie Brosh’s hardcopy book or her online stories at Hyperbole-and-a-Half.

In the meantime, I’ve managed to keep up a little better on the easier-to-maintain Facebook & twitter side of things, under the Pixel Gravity moniker.

But it’s time to dump more stuff out on the world and see if anyone who isn’t a spammer notices.

Here’s the deal:  I’ve got a year’s worth of science projects for kids that I want to share.  Maybe they’ll be a book too, some day.  (Insert self-knowing laugh here.)  I’m a year behind on delivering my Grand Canyon stories & pictures, which I promised my fellow-travellers would be “up” by the end of last summer.   But there’s other stuff I want to address as well.  So there will be a little discipline applied, in a way that would help any of my imaginary readers look ahead for the next entry in a category of interest.

First week of the month:  One “Messy Monday” project

Second week:  One “Grand Canyon” entry–either a half-day of storytelling or a photo album.

Third week:  Science & fiction stuff–the science fairly topical, the fiction

Fourth week:  An extra week to play catch up, first on the Grand Canyon, and later on Messy Monday, but also a piece of flexible time for interesting stuff of the moment.  For instance, Memorial Day Weekend will yield four days of BayCon 2014.

Next up:  Comets in orbit…

 

 

 

Chasing CometsChasing Comets

As a  re-entry activity, let’s fall right into the project which inspired the overarching theme for this so-called blog:  cometary tails.   That is, in this instance, we’ll be “studying” the behavior of the tails of actual comets falling along their orbits about a star.    But of course, this is a “Messy Monday” project, so it  involves running, arguing, and playing with scissors (not all at the same time).

So far, the only star whose comets we’ve observed have been those of our own Sun, but as our star is not particularly unusual, it’s likely that comets ply their trade throughout the cosmos.  We’ll not be delving too deeply into astrophysics, instead we’ll be building fun models of comets and playing games which illustrate the apparent motion of a typical comet’s tail.  If you’re running this project as part of a school science program, you can double-count the activity as a P.E. session, as the central game involves more than a bit of running, though not likely moving as fast as a comet.

Just as a reminder, what I want to give you in these “Messy Monday” project descriptions is 1) enough background on the science that you’ll be prepared for questions and have resources to draw on if your own curiosity is triggered, 2) a play-by-play description of running the project with a group, recognizing that your time and resources are limited and your participants will vary in both interest and prior knowledge, and 3) a shopping list detailed enough to help you minimize your costs as well the time you have to spend assembling supplies.

Shoemaker-Levy panoramic (courtesy NASA-NSSDC)

Fragments of Comet Shoemaker-Levy heading for Jupiter (courtesy NASA-NSSDC)

So, What Do You Want to Know?

For thousands of years, humans have wondered at the strange visitations of comets.

Natural philosophers of the middle ages studying comets.

Natural philosophers of the middle ages studying comets.

In our time, people now understand that comets are not harbingers of doom or annunciations of the births of kings but fellow travelers in our solar system, icy bodies wheeling in towards the sun and shedding a fraction of their substance as they approach the sun.  However, a key aspect of the comet’s tail remains counterintuitive to us earthbound air-dwelling creatures.  The tail of a running horse flows behind her as she gallops, so we naturally expect that the tail of comet simply flies behind it as it plunges along its course.  But a comet’s behavior plays tricks with such expectations.

Where do comets come from?  The Solar System is a big place, but for most of us, the territory ends with Pluto, the Object Formerly Known as The Ninth Planet.

Great_Comet_of_1577 by Georgium Jacobum von Datschitz public domain

The Great Comet of 1577

However, if you’re a fan of Cosmos (either Carl Sagan’s or Neil DeGrasse Tyson’s version) or if your school is lucky enough to have new textbooks, then you’ll know about the Oort Cloud , that sphere of orbiting material from which most comets emerge.  Do you realize how much farther out this region is? On a scale of one inch per 100,000 miles, in which the orbit of Pluto would be one mile across, the distance from the Sun to the Oort Cloud would be the length of the state of California.  It’s even been hypothesized that the Oort clouds of neighboring stars may physically interact, exchanging comets.

The Oort cloud is a long way out, but it’s still a part of the Solar System, because the objects there are still subject to the Sun’s gravity.  Occasionally, a piece of this clutter is jostled from its orbit and begins the long fall towards the sun.  Depending on the path it takes as it zooms around the sun, the comet may slingshot out of the solar system entirely or it may settle into a new orbit, returning to loop around the sun on a regular schedule.   For instance, Comet Halley returns every 86 years.  The last time round, it actually came in ’86–1986 that is.  I was lucky enough to visit New Zealand that year, so I can confirm that Comet Halley was extremely unspectacular that year–only just barely visible.  Fortunately, New Zealand itself is spectacular every single day of any given year.    NASA was more successful, having a noticeable advantage in telescope access.

Babylonian Astronomers Wrote Down Their Observations of Halley in BCE 164

Babylonian Astronomers Wrote Down Their Observations of Halley in BCE 164

Comet Halley's Appearance Dooms King Harold in 1066

Comet Halley’s Appearance Dooms King Harold in 1066

Comet Halley in 1910

Comet Halley in 1910

Comet Halley in 1986 (Courtesy of NASA)

Comet Halley in 1986 (Courtesy of NASA)

                                                                                                                                                                                        But why do comets even have tails?  We don’t see shiny tails glowing in the wakes of our planets.  Well, it all has to do with the change in environmental conditions as the comet moves towards the Sun.  Comets are composed of water ice, frozen gases, rocky matter, and even traces of organic compounds.  As this frozen jumble approaches the sun, it warms up enough that the various ices in the outer layers of the comet become gaseous—water vapor, ammonia, carbon dioxide.  These gases bubble and boil into a misty cloud, so the comet will have an atmosphere of sorts, called the coma, for the duration of its passage through the inner Solar System.  The gas expulsions may even shoot out of the comet’s rocky layers like jets, causing the comet itself to tumble as it falls along its inward path.  At the same time, very small-scale “dust” particles are swept from the cometary nucleus.  This is not the heavily-organic dust we find under our furniture here on Earth (if you really want to know what’s in household dust don’t use “Google images”;  stick to text searches or just ask your friendly neighborhood allergist).  What we mean is that the particle size—a few microns—is extremely fine, about the same size as the particles in cigarette smoke.

We get our fabulous cometary tail once these newly-ejected gases and dust of the coma approach the sun just a bit closer, enough that the various solar emissions can have their ways with the comet’s atmosphere.   First, there is sunlight itself, which acts in several ways to provide us with the visual spectacle of the comet’s tail.

The simplest role of sunlight is to shine on the cloud of dust ejected from the nucleus.  That’s the main tail we see.  But that still doesn’t explain why the dust forms a tail at all:  the secret is that light, as electromagnetic radiation, actually exerts pressure on objects, and with tiny objects like cometary dust this radiation pressure force is enough to fan that  material out from the core.  Plus, there is a cool bonus “secret”: that most comets actually have two tails—one formed by the gases and one formed by the dust.  The ultraviolet radiation in sunlight blasts the gas particles, stripping away electrons, and so creating a mass of ionized gas, which fluoresces (mostly blue) in sunlight. Then those glowing blue ions are blasted in a straight line away from the sun by the solar wind, a stream of high-energy particles hurtling at supersonic speeds through the solar system.  The solar wind is a wonderfully intricate system in its own right, but for our purposes here it is most important to convey that, like earthly winds, it consists of particles moving at high speeds and that its direction is away from the Sun.

The result of all these combined forces is that a complex, continuously shifting cloud of gases and dust streams out from a comet during its time in the inner solar system and that tail—or, rather, pair of tails—points away from the sun, even when the comet is on its way back out to its origin.  (If you’re a die-hard comet enthusiast, you’ll know that the dust tail does curve inward a bit, as the small particles of dust battle with the solar forces, striving to curl into their own individual orbits about the sun, but from our earthly perspective, the outward forces have the upper hand.)

In the next installment, we’ll get down to the nitty-gritty of building our own comet models and playing a game of As the Comet Tail Flies.

Oh, yeah, and I’m not making things up about radiation pressure.  Consider the prospects for spaceflight under the power of light!

The Japanese IKAROS spaceprobe in flight (artist's depiction by Andrzej Mirecki).

The Japanese IKAROS spaceprobe in flight (artist’s depiction by Andrzej Mirecki).

Secrets and Mysteries of Rafting the Grand CanyonSecrets and Mysteries of Rafting the Grand Canyon

So, for the next month and more, this blog, or at least most of its available posting space, has been claimed by a fan of the Grand Canyon.  Yes, a fan of a really big hole in the ground.  It’s not as big as Valles Marinaris, but there is still a river at the bottom of the Grand Canyon, which greatly facilitates travel by river raft.  The goal is to take you along on a fourteen-day expedition, from Kaibab Sandstone to Vishnu Schist, through rapids, slot canyons, waterfalls, and thunderstorms, and along the way reveal a few of the deep dark secrets of these trips so few of us take.  We’ll cover over 180 miles on the river plus many miles afoot on canyon trailways.  Why use up a month to take you on a two-week trip?  Because that’s what it feels like.  You forget what day it is, how long you’ve been gone, how much time is left.  If you don’t keep a journal, you’re lost.

I kept a journal.

I also took about 3,000 photographs and an hour of video.

Yes, there will be a fair amount of “what we did”, but I also want to share the background information the guides (and other travelers) shared with us, the additional tidbits I’ve gleaned from research (the addiction of the Ph.D.), and perhaps even paint the picture well enough that if you can’t go on this trip you can claim you did and provide your friends with a verisimilitudinous description.  Just pick one of the falsified names in the diary segments & say “yeah, that’s me”.   Also, if you’re a well-heeled adventure traveler planning your own expedition, I’d hope you’ll come away with enough information to know where you should not take short-cuts—and with some clues about how to find experienced, capable guides to get you through safely.

In the meantime,  I don’t want to wear out your eyeballs with more than a few photos and a thousand words of gushing per post.  There will be directions to see more photos, but, I promise, this won’t be a session of “Watch my Vacation Slideshow”.

Time for the first installment of Secrets of Grand Canyon River Rafting.

Deep, dark secret #1.  Not everyone wants to go on this trip.  Three husbands who could have joined their wives refused the chance to walk away from work, television, and electronic connectedness for a week.  A young backbacker—who had completed the climb of Mount Whitney with his mother just a few months previously—turned down a free ticket and sent his retirement-age Mom on her own.  She said he didn’t like the idea of not being in control on the trip.  Another traveller’s wife sent him off with a (female) friend he’d recently reconnected with after a thirty-year hiatus, because the wife just can’t stand camping.  His son, a golf enthusiast, only agreed to chaperone them if they took the shorter trip, to be sure he’d be home in time to watch the Master’s.  Me? No, actually, I didn’t want to go on this trip.  The only person who couldn’t tell was my husband, he was so excited about going.  Why would this nature/science/ancient-peoples-loving photographer want to sit this out?

First of all, it’s frightfully expensive—if you want to travel the Canyon and not spend a fortune, you need to be able to work there.   I am not the correct age or physical type to start a new career as a river guide.  Nor do I have the right background or training to get hired by (or even volunteer for) the Park Service or any of the scientific research teams with feet on the water down there.  So when my husband Clark declared that it had “always” been his wish to make this trip and that he had, after all, a big landmark birthday coming up, I made him pay for it out of his IRA.  That was the only place we had enough money set by.

Second, Clark got the idea from a friend of his, a childhood friend who’s facing the same landmark birthday this year.  When these two get together, they tend to devote a significant amount of our time to recalling those good-old-days.  Days I did not share.  Oh, great, my jealous heart predicted:  two weeks of traipsing along behind while they play “remember when.”  Well,  I did end up trailing along behind, but not quite the way predicted.  You’ll see.

And the third and most sensible reason:  I broke my shoulder in January and my orthopedist’s solid opinion about my going river-rafting in April was: “I wouldn’t recommend doing that.”   The bone knitted on schedule, but shoulders are complicated messes of tendons and muscles that don’t take kindly to the whole process.  I was told it would be a year or more before I’d be back from this injury.  My physical therapist did what he could to get some of my range-of-motion restored and added a couple of exercises to build back a little strength, but I went off with one arm fully-qualified to hang on tight and one that complained bitterly about any extension beyond a basic stretch while it simply refused to raise my hand beyond about 80 degrees.   One upside was that Clark got to haul all my gearbags, because I just couldn’t handle them.

The other upside is that I would not want to have missed out on this trip.  Even though we couldn’t afford it, it was worth it.  Does that make any sense at all?  Well, it will.

So, all right already, let’s go.  For a teasing sneak-peek, here is a picture from Day 5.  Oh, aye, it’s the Grand Canyon.

Day One

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