Connect with us

The Solar System’s moons are intriguing objects for exploration. Especially moons like Europa and Enceladus. Their subsurface oceans make them primary targets in the search for life.

But why not send one spacecraft to visit several moons? NASA’s about to launch its Lucy mission which will visit 8 separate asteroids. Could the same be done for a mission to multiple moons?

For a spacecraft to do that, it would have to do a little dance with the notorious three-body problem, which makes a stubborn partner. A new study presents a possible way to do that.

Missions like Galileo and Cassini were able to gather some data on the moons of Jupiter and Saturn. But they performed distant flybys; they never orbited the moons. It’s tricky sending a spacecraft to visit and orbit different moons around the same planet because of all the gravitational forces involved. A spacecraft with unlimited propellant could use brute force to enter and exit orbits. But that’s not how space travel works. Everything is launched from Earth on rockets, at great expense, and fuel must be carefully husbanded.

A new study looks at a method to move a spacecraft between lunar orbits without using mission-busting quantities of fuel. The title of the paper is “Transfer design between neighbourhoods of planetary moons in the circular restricted three-body problem: The Moon-to-Moon Analytical Transfer Method.” The lead author of the paper is David Canales from the School of Aeronautics and Astronautics, Purdue University.

The “circular restricted three-body problem” is one of those vexing aspects of space travel in need of a stronger solution. In the case of transferring a spacecraft between different moons. the planet, the moons, and the spacecraft create a complicated gravitational situation that’s difficult to navigate. Especially when the moons are travelling at different velocities, and on different orbital planes.

For a better understanding of the three-body problem, watch this video.

Their solution is called the Moon-to-Moon Analytical Transfer (MMAT) Method. MMAT is a general methodology for transferring spacecraft between moons “…within the context of the circular restricted three-body problem..” the authors write.

“A simplified model enables analytical constraints to efficiently determine the feasibility of a transfer between two different moons moving in the vicinity of a common planet. In particular, connections between the periodic orbits of such two different moons are achieved,” they write. In their paper, they present two case studies: one for the Jovian system and one for the Uranian system.

The authors explain that other researchers have come up with solutions to the three-body problem. But they say that these solutions are unsatisfactory for different reasons. For example, some solutions assume that the moons are on coplanar orbits, which may not be true. Some solutions require too much fuel and restrict mission design. And some modelled solutions don’t hold true when modelled at higher resolutions. They write that solutions must be “…sometimes adjusted on a case-by-case basis.”

Their MMAT method is more effective. They describe it as “…an alternative general methodology for transfer design between moons applicable to any given system;”

This figure from the study illustrates the circular rotating three-body problem (CR3BP.) Ls one through five are equilibrium points. Image Credit: Canales et al 2021.
This figure from the study illustrates the circular rotating three-body problem (CR3BP.) Ls one through five are equilibrium points. Image Credit: Canales et al 2021.

The specific math behind the MMAT method is beyond this article’s scope. Interested readers can explore the paper for themselves. For the rest of us, the paper’s conclusion explains it best.

In their conclusion, the authors drive home the point that transfers from moon to moon are extraordinarily complex maneuvers. “Trajectory design for transfers between different moons moving in the vicinity of a common planet is a balance between diverse constraints, priorities and requirements to enable trajectory design for successful missions.” The solution involves the use of libration points in the system. “The analysis supports transfers between libration point
orbits near different moons,” they write.

Did you miss our previous article…
https://www.mansbrand.com/review-gossamer-gear-mariposa-60-ultralight-backpack/

Total
0
Shares
Share 0
Tweet 0
Pin it 0
Share 0
Related Topics:
Click to comment

You must be logged in to post a comment Login

Leave a Reply

Frontier Adventure

5 Reasons You Must Backpack the Teton Crest Trail

Wind4 016 jpg

By Michael Lanza

On my first backpacking trip on the Teton Crest Trail in Grand Teton National Park, camped on Death Canyon Shelf, a broad, boulder-strewn and wildflower-carpeted bench at 9,500 feet, I awoke to the sound of heavy clomping outside my tent. I unzipped the tent door to investigate—and saw a huge bull elk standing just outside my nylon walls.

As I’ve come to learn over more than 20 trips to the Tetons since that first one over three decades ago, that elk encounter symbolized just one of several compelling reasons why every backpacker should move the Teton Crest Trail to the top of their to-do list: the wildlife. Where it occurred illustrates another reason: After years of backpacking all over the United States—including the 10 years I spent as a field editor for Backpacker magazine and even longer running this blog—Death Canyon Shelf is still one of my all-time favorite backcountry campsites.

Wind4 016 1 jpg
Hi, I’m Michael Lanza, creator of The Big Outside, which has made several top outdoors blog lists. Click here to sign up for my FREE email newsletter. Join The Big Outside to get full access to all of my blog’s stories. Click here to learn how I can help you plan your next trip.

Watching the sunset from a campsite in the North Fork Cascade Canyon, Grand Teton National Park.
” data-image-caption=”Watching the sunset from a campsite in the North Fork Cascade Canyon on the Teton Crest Trail in Grand Teton National Park.
” data-medium-file=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?fit=200%2C300&ssl=1″ data-large-file=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?fit=683%2C1024&ssl=1″ src=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?resize=432%2C648&ssl=1″ alt=”Watching the sunset from a campsite in the North Fork Cascade Canyon, Grand Teton National Park.” class=”wp-image-36411″ style=”width:432px;height:648px” width=”432″ height=”648″ srcset=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?w=800&ssl=1 800w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?resize=200%2C300&ssl=1 200w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?resize=768%2C1152&ssl=1 768w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-090-A-campsite-on-the-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P.jpg?resize=683%2C1024&ssl=1 683w” sizes=”(max-width: 432px) 100vw, 432px” data-recalc-dims=”1″ />Watching the sunset from a campsite in the North Fork Cascade Canyon, Grand Teton National Park.

And I certainly consider the Teton Crest Trail one of the 10 best backpacking trips in America. It’s the one I keep going back to again and again. (Read about my most recent trip.)

I think the five reasons I lay out below will give you insights into questions you might have about this classic hike—and inspire you to go do it.

But know this important planning detail: The

Continue Reading

Frontier Adventure

How to Get a Permit to Backpack the Teton Crest Trail

Tet19 047 Me on Teton Crest Trail copy cropped jpg

By
Michael Lanza

For
backpackers, the Teton Crest Trail really delivers it all: beautiful lakes,
creeks, and waterfalls, high passes with sweeping vistas, endless meadows of
vibrant wildflowers, a good chance of seeing wildlife like elk and moose, some
of the best campsites you will ever pitch a tent in, and mind-boggling scenery
just about every step of the way. And it’s a relatively beginner-friendly trip
of 40 miles or less, which most people can hike in four to five days.

No wonder it’s so enormously popular—and there’s so much competition for backcountry permits.

In this story, I will offer tips on how to maximize your chances of getting a permit to backpack the Teton Crest Trail, sharing expertise I’ve acquired from more than 20 trips in the Tetons and several on the Teton Crest Trail over more than three decades, including the 10 years I spent as Northwest Editor of Backpacker magazine and even longer running this blog.

Tet19 047 Me on Teton Crest Trail copy cropped 1 jpg
Hi, I’m Michael Lanza, creator of The Big Outside. Click here to sign up for my FREE email newsletter. Join The Big Outside to get full access to all of my blog’s stories. Click here for my e-guides to classic backpacking trips. Click here to learn how I can help you plan your next trip.

Lake Solitude, North Fork Cascade Canyon, Grand Teton National Park.
” data-image-caption=”Lake Solitude in the North Fork of Cascade Canyon, Grand Teton National Park. Click photo for my e-guide “The Complete Guide to Backpacking the Teton Crest Trail.”
” data-medium-file=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?fit=300%2C200&ssl=1″ data-large-file=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?fit=900%2C600&ssl=1″ src=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?resize=900%2C600&ssl=1″ alt=”Lake Solitude, North Fork Cascade Canyon, Grand Teton National Park.” class=”wp-image-36414″ srcset=”https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?resize=1024%2C683&ssl=1 1024w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?resize=300%2C200&ssl=1 300w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?resize=768%2C512&ssl=1 768w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?resize=1080%2C720&ssl=1 1080w, https://i0.wp.com/thebigoutside.com/wp-content/uploads/2019/11/Tet19-095-Lake-Solitude-Teton-Crest-Trail-North-Fork-Cascade-Canyon-Grand-Teton-N.P..jpg?w=1200&ssl=1 1200w” sizes=”(max-width: 900px) 100vw, 900px” data-recalc-dims=”1″ />Lake Solitude in the North Fork of Cascade Canyon, Grand Teton National Park. Click photo for my e-guide “The Complete Guide to Backpacking the Teton Crest Trail.”

See my story from my most-recent trip on it, “A Wonderful Obsession: Backpacking the Teton Crest Trail,” which requires a paid subscription to The Big Outside to read in full, including basic information on planning a TCT backpacking trip. For much more information and expert tips on planning this trip, get my top-selling e-guide “The Complete Guide to Backpacking the Teton Crest Trail in Grand Teton National Park.”

I’ve also helped many readers plan a backpacking trip in the Tetons and elsewhere, answering all of their questions and customizing an itinerary ideal for them. See my Custom Trip Planning page to learn how
Did you miss our previous article…
https://mansbrand.com/eris-could-be-slushier-than-pluto/

Continue Reading

Frontier Adventure

Eris Could be Slushier Than Pluto

EightTNOs jpg

In 2005, astronomer Mike Brown and his colleagues Chad Trujillo and David Rabinowitz announced the discovery of a previously unknown planetoid in the Kuiper Belt beyond Neptune’s orbit. The team named this object Eris after the Greek personification of strife and discord, which was assigned by the IAU a year later. Along with Haumea and Makemake, which they similarly observed in 2004 and 2005 (respectively), this object led to the “Great Planet Debate,” which continues to this day. Meanwhile, astronomers have continued to study the Trans-Neptunian region to learn more about these objects.

While subsequent observations have allowed astronomers to get a better idea of Eris’ size and mass, there are many unresolved questions about the structure of this “dwarf planet” and how it compares to Pluto. In a recent study, Mike Brown and University of California Santa Cruz professor Francis Nimmo presented a series of models based on new mass estimates for Eris’ moon Dysnomia. According to their results, Eris is likely differentiated into a convecting icy shell and rocky core, which sets it apart from Pluto’s conductive shell.

Their paper, “The internal structure of Eris inferred from its spin and orbit evolution,” recently appeared in the journal Science Advances. The research began while Nimmo was visiting Professor Brown at Caltech and realized that some of his previously-unpublished data could help reveal information about the properties of Eris. At present, we know that Eris is about the same size and mass as Pluto and has a highly eccentric orbit around our Sun, ranging from 38.271 AU at perihelion to 97.457 AU at aphelion. This is almost twice as eccentric as Pluto’s orbit and roughly 50% farther from the Sun.

EightTNOs 1 jpg
Comparison between the eight largest TNOs with Earth (all to scale). Credit: NASA/Lexicon

For several months, Brown and Nimmo worked on models of Eris that incorporated two key pieces of information. The first had to do with Eris’ only known satellite, Dysnomia, and how the two bodies always face the same way toward each other. “That happens because the big planet gets spun down by the tides that the little moon raises on it,” said Nimmo in a recent UCSC press release. “The bigger the moon is, the faster the planet spins down. And so as soon as you know that, then you can actually start to do real calculations.”

Astronomers can use the spin and orbital characteristics of planets and their moons to infer certain properties, like their internal structures. But until recently, scientists did not have estimates on Dysnomia’s size, mass, and density. Luckily, Brown and his colleague Bryan J. Butler – a researcher at the National Radio Astronomy Observatory (NRAO) – recently conducted observations of Dysnomia and Eris (and Orcus and its satellite Vanth) using the Atacama Large Millimeter-submillimeter Array (ALMA). Based on their findings, published in The Planetary Science Journal, Dysnomia has a diameter of about 615 km (382 mi) and Dysnomia and Eris have a mass ratio of 0.0085.

This upper mass limit provided the second crucial piece of information, which concerned Eris’ internal structure. The main result of Brown and Nimmo’s model (but did not expect) is that Eris is surprisingly dissipative, a concept in thermodynamics where a system operates out of equilibrium. From this, they determined that Eris has a rocky core surrounded by a layer of ice and a crust that is likely convecting. “The rock contains radioactive elements, and those produce heat,” Nimmo said. “And then that heat has to get out somehow. So as the heat escapes, it drives this slow churning in the ice.” 

This sets it apart from Pluto, which has a conducting shell, as revealed by the New Horizon mission. Brown and Nimmo hope that more exact measurements of Dysnomia’s mass will be available in the near future, as well as additional data about the shape of Eris. Because of its distance, Eris appears as a single pixel of light, while Dysnomia is visible as a faint speck next to it (see below). Therefore, astronomers must monitor Eris as it passes in front of background stars to reconstruct its shape. This is similar to the Transit Method astronomers use to detect exoplanets and constrain their sizes.

Continue Reading

Trending