Gravity & Energy

This category of the blog is dedicated to science & technology topics that I think may interest my fellow nerds.

(Note: Original post: 2012. A few updates were made during site reorganization in January, 2021.)

Tracking Movement In the Solar System

For starters, I’ll be posting in the blog regularly under Astronomy & Astrophysics. (In some of these older posts the category is tagged Pixel Gravity.)  To jump straight to those posts, visit the PG Archive–readily accessible in the menu.  For some time now, I’ve been running the social-media support for the program that made the picture you see here.  I’ve been posting about robots, space exploration, astronomy, big steps in physics, and so on.  Sometimes, the space available for a posting on Facebook is too restrictive.   So those kinds of discussions will move here.

What qualifies me to write about this stuff?  Well, I’ve admitted elsewhere that we are a family of hypernerds.  That’s not my term.  It was invented and applied by one of our charming (adult) offspring.  It’s not a misnomer As a family, we are 40% engineers and 60% scientists.

I’m a power systems engineer, which in my case means I’ve made a career out of simulating how power plants and electric and gas networks operate.

My husband is a computational physicist, specializing in solar physics.  Want to know what’s going on inside the sun?  He’s your guy.

Our youngest son is too busy for now, building catapults and robots on his way to a mechanical-engineering degree at UC Santa Barbara. (Update: graduated, with honors. Currently open to job offers.)

After two summer internships in NASA’s astrobiology group, our middle son is working on an honors thesis project on metabolic processes of microbes in deep serpentine wells, attracted by the prospect of doing biology fieldwork in extreme ecosystems right here on planet Earth. (Update: he’s now nearly done with his Ph.D.)

And the oldest escaped from UC Berkeley’s astrophysics program with a degree and a desire to never return to academia.  He built Pixel Gravity instead.

What’s “Pixel Gravity“?  It’s a detailed, graphical astrophysics simulator with real-time controls.  It looks sort of like a game, and it’s fun to play with, but it’s also a serious science tool  As an “n‑body” simulator, it lets users model complex groups of many objects, from the solar system to galaxies.  Most of the other easy-to-use programs available online limit the number of objects or lack physical accuracy, so (for example) relativistic effects on motion near a black hole are not handled properly, if at all.  University researchers have access to extremely-detailed models, but those require supercomputers.  Pixel Gravity provides accurate modeling on personal computers and is priced low so that even students can explore gravity in action.  In addition to Newtonian gravity, Pixel Gravity models the additional effects of atmospheric drag, general relativity, and dark-matter, as well as user-defined forces.  Plus, the software package includes helpful tools for curriculum development such as a tutorial-builder and video-production capability. (Update: Pixel Gravity is at present a retired product–contact us if you’d like a copy to play with.)

So, in short, the topics under this heading are just the kind of things we talk about at our house.  So if you come to dinner, you don’t need to bring a foodie specialty.  But you might scan the latest issue of Scientific American.

You might also like to read:

Chasing Comets

Chasing Comets: Notes for Project Leaders #2Chasing Comets: Notes for Project Leaders #2

OK, we’re back for part 2.  Remember that our goal is to impart an intuitive, long-term understanding of how comet tails work.  I’ll give you an observation worksheet that students can use during the Comet Running game, but if time or attention-spans are too short for a worksheet, dispense with that element in favor of learning through movement and Socratic dialogue. (What? You think an engineer wouldn’t have read the Greek philosophers?)

If you have time and enough outdoor space for the “Game” version of this simulation, move right along to “Stage 2” now. The promise of a chance to make their own models is what will entice the students back to the classroom. Otherwise, save the great outdoor model for another time or place and move directly to “Stage 3,” building the individual models.

Stage 2: The Game

Chasing Comets

That’s One Big Comet

This is an outdoor game, and it works to best advantage with a nice BIG comet model. Four five-yard lengths of white fabric streamers attached to a single badminton shuttlecock (“birdie”) make our Comet Chase model. A playground ball or a soccer ball (around 8” in diameter) stands for the sun.   Sort the participants into groups of no more than five and no fewer than three, and move to the great outdoors. A grassy area is safest, because this game involves some complicated running; if you’re stuck with pavement, tone down the running to “jogging” and allow a little extra time.

Start by laying out the ground rules for the game. First, each group will get to play every role. There are three parts: being the sun, being the comet, and being observers back on Earth. Remind everyone of your local rules for behavior outside. It’s harder to listen to instructions out in the sunshine and fresh air!

Take a moment to review the lesson so far. Place the model Sun on the ground, at least ten yards away. Ask an adult helper or one of the students to stand about halfway between the class and the Sun and to hold the head of the comet

Chasing Comets

Large Comet Head With Coma

while you extend the tail’s long white streamers.   This model is much more evocative of the scale of a real comet, which has a tail tremendously longer than the diameter of its coma, or head—but it’s still not a scale model. Allow for some oohs and aahs, but move on to your query: which direction should the comet’s tail point? Don’t move yet; both you and your helper just stand in place.

Chasing Comets

Large Comet: Incoming or Outbound?

Don’t be concerned if it takes more than one answer to get the right one! Some may still want to know which way your comet is moving. But in a few moments, you should achieve the consensus that the tail should point towards the class and away from the sun.

Now, add the movement and ask everyone to call out which way for you to move. Ask your helper to start walking (slowly, please!) towards the sun and then to loop around the sun. You will need to move quickly to keep the comet’s tail pointing away from the sun. In fact, even if your helper cooperates by walking slowly, you will need to break into a run! As you run, if the students aren’t already hollering directions to you, tel them to keep reminding you which way to point the tail: away from the Sun!

Pause partway and while you catch your breath you can demo a technique for helping to align the tail while in motion. With your outside hand, hold the streamers. With your inside hand, point at the Sun. The tail-runners should always find that pointing at the Sun also means pointing at the comet’s head.

Now, it is finally the students’ turn. Run as many iterations as necessary to ensure that each group does each job at least once. For instance, for a class of 20, allow time to run the game at least four times.

The Comet Group: The comet group needs one Head and up to four Tail-Runners. Name the comet after the person who’s serving as the Head. Comets are always named according to the last name of the comet’s discoverer. So if you have Robin Williams as the comet’s head, then this will be Comet Williams. Getting the comet named after him/her may compensate for the fact that the “head” only gets to walk slowly around the sun.

Meanwhile, the tail-runners get to hold the ends of the tail streamers and run to keep the comet’s head between themselves and the Sun.  In the normal course, the “tail” group will tend to lag a little and spread out, but that actually serves to more-accurately represent the shape of the dust tail. If you’re working with a two-tails group, designate one especially determined runner to represent the ion tail by taking one ribbon and maintaining a straight line from the ribbon end through the comet head to the sun.

The Sun Group: The sun group stands in the middle of your running space. One or two group members hold the model sun overhead. This makes it easier for the Comet group to see if they have successfully aligned the comet head and the sun. If the tail-runners stray out of line, members of the sun group need to to shout out “Got you! Got you!” or “Solar Wind Coming!” to warn them that the solar forces are blasting the tail.

The Astronomer Group: The people who are not part of the sun-comet demonstration still have a critical role. They are not just watching other people play the game, but they are tracking the shape of the comet’s tail as it passes around the sun, as observers on Earth. Depending on their perspective at each point in the comet’s orbit, the tail will appear longer or shorter. For example, if the comet is roughly between Earth and the Sun, the tail may look short, because it is stretched towards us. If you have time for writing, ask the Observers to sketch the comet as they see it. (See the handout.) In an average class, each student will get to observe the comet at least twice, which is very helpful for catching the unexpected views.

When every group has had a chance to play every role, take a few minutes to review one more time. As a comet is orbiting around the sun, which way does its tail point? By now, everyone should be willing to state that the tail always points away from the sun.

Still, you may still have a few hold-outs who are not quite sure this can be true. If you are lucky and it’s a sunny day, you have a hole card to play. Invite the students to each imagine that they are comets. “Guess what? You can see exactly where your tail would be. Who can point at it? Where’s your tail, Comet Human?”

If you are not saved by the insight of a student who’s totally absorbed the lesson, it is OK to resort to hints. “Everyone has one. It’s easy to see. Yes, you can see your comet tail! Where is it? Which way does a comet’s tail point? Right: away from the sun. Where’s the sun right now? What do you have that’s pointing away from the sun? It’s not bright and shiny like a comet’s tail. It’s dark, because there are no sunbeams there.

“Yes! Your shadow is your comet tail. It points away from the sun, always, no matter what direction you run.”

Stage 3: The Reward

Finally, everyone needs a model comet of their own to take home and show off and share with family members everything about how comet tails work. This is not an art project; it’s an opportunity to review and experiment individually. If some students are fussy about carefully arranging their streamers to make a colorful pattern, that is all right, but the point is to assemble a working model.

Each participant needs 24 feet of curling ribbon and a birdie (remember what I told you earlier about calling it by its proper name—be prepared for lots of giggling and teasing if you insist on that) . Cut the ribbon into eight lengths of roughly 3 feet. It is perfectly all right—and in fact more realistic—if the streamers come out various lengths. And depending on the students’ social skills, it is also all right for them to exchange colors once the cutting is done. (There are always some who prefer to discover a multi-color comet and others who prefer monotone.)

Once each student has six streamers, have them tie one end of each streamer to the head of the birdie.

Chasing Comets

Detail–Attaching Ribbon For Comet Tail

Your meticulous planners will distribute them evenly around the netting; others will be clumped randomly. Either is fine. Every comet is unique and most are quite non-uniform.

Be real. This project is not done when it the comets have been only built. Everyone needs a chance to try them out. They will, of course, want to toss them around the classroom; if this is not acceptable, make some provision for them to try out that technique outdoors. More scientific, of course, as time permits, is to allow the participants to take turns trying out their comets in the pretend “solar wind” of the classroom fan. As long as they willing and able to mind safety rules about working around a fan, by all means have everyone try out the tail position approaching, passing, and retreating from the Fan Sun. But don’t get all hot under the collar if other comets are flying through the room while you monitor the fan users. Just imagine you’re in the Oort Cloud and you’ll be OK.

Up next:  Supplies You Need and Resources You Can Use

Chasing Comets

A Cluster of Comets, Incoming & Outbound

Secrets & AdventuresSecrets & Adventures

No, it's not a compass.
No, it’s not a compass.

Sometimes, you need a compass.  Sometimes, you need a more specialized instruction set.

This section of Cometary Tales follows the path of adventure, in search of the secrets and mysteries out there in the natural world.

I’ll begin by co-opting the blog page for an in-depth retelling of how I took two cameras down the Colorado River on an inflatable raft and managed not to drop either of them in the river.

Not to say my loyal retainers didn’t suffer.  The TS-4 served its duty of riding lens-first into rapids, secure only in the assurance that between a wrist strap, a neck lanyard, and a sweet orange floaty it was not likely to end up in Lake Mead.   The non-rugged ZS-7 struggled mightily with the ubiquitous sand, but soldiered on, recovering temporarily from a sand-jam to deliver a final sequence of aerial shots when the TS-4 exhausted its last milliamp-hour on the way out of the canyon.

To follow along on this journey, track Secrets of the Grand Canyon.

(Updated January 2021.)

Machine DesignMachine Design

 

I draw for you the art of Leonardo:
 
A man whose legs are feathered airfoils
of that smooth asymmetric camber
which folds the wind under an eagle’s wings.
 
A man poised in a cage of struts and sailcloth,
curved like the feathers on the haft of an arrow,
an apparatus geared to spin, to lift him free.
 
The paintings were for money.
 
 
 
 
This poem first appeared in Hadrosaur Tales #19, 2004.  You can still find copies of the original Hadrosaur Tales online at clarkesworldbooks.  Meanwhile, Hadrosaur Productions now publishes a new magazine, Tales of the Talisman, as well as novels, short fiction collections, and audio recordings.  Look them up at www.hadrosaur.com

 

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