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Mathematicians find 12,000 new solutions to 'unsolvable' 3-body problem
Live Science ^ | September 15, 2023 | Briley Lewis

Posted on 09/17/2023 6:07:39 AM PDT by SunkenCiv

...Two objects orbiting each other, like a lone planet around a star, can be described with just a line or two of mathematical equations. Add a third body, though, and the math becomes much harder. Because each object influences the others with its gravity, calculating a stable orbit where all three objects get along is a complex feat...

More than 300 years ago, Isaac Newton wrote down his foundational laws of motion, and mathematicians have been working on solutions to the three-body problem pretty much ever since. There is no single correct answer; instead, there are many orbits that can work within the laws of physics for three orbiting objects.

Unlike our planet's simple loop around the sun, orbits for the three-body problem can look twisted and tangled, like pretzels and scribbles. The 12,000 newly discovered ones are no exception — the three hypothetical objects start at a standstill and, when released, are pulled into various spirals toward one another via gravity. They then fling past one another, moving farther away, until the attraction takes over and they once again come together, repeating this pattern over and over again...

Three-body systems are quite common in the universe; there are plenty of star systems with multiple planets, or even multiple stars orbiting each other. In theory, these new solutions could prove extremely valuable to astronomers trying to explain the cosmos. But they're only useful if they're stable, meaning the orbital patterns can repeat over time without breaking apart, flinging one of the component worlds off into space. Just because they're theoretically stable doesn't mean they'll stand up to the many other forces present in a real star system.

(Excerpt) Read more at livescience.com ...

TOPICS: Astronomy; Science
KEYWORDS: astronomy; catastrophism; math; science; xplanets
first 1-2021-4041 next last
One planet orbiting a star? No problem. Two or more planets orbiting a star? Now that's one of the biggest problems in astrophysics.
Image credit: NASA

1 posted on 09/17/2023 6:07:39 AM PDT by SunkenCiv

To: 75thOVI; Abathar; agrace; aimhigh; Alice in Wonderland; AnalogReigns; AndrewC; aragorn; ...
2 posted on 09/17/2023 6:08:43 AM PDT by SunkenCiv (Putin should skip ahead to where he kills himself in the bunker.)

To: KevinDavis; annie laurie; Knitting A Conundrum; Viking2002; Ernest_at_the_Beach; Mmogamer; ...
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3 posted on 09/17/2023 6:08:46 AM PDT by SunkenCiv (Putin should skip ahead to where he kills himself in the bunker.)

To: SunkenCiv
"Just because they're theoretically stable doesn't mean they'll stand up to the many other forces present in a real star system."

And just because the solar system has been in a stable resonance for 4.5 billion years doesn't mean it's completely stable. It's actually weird that it's lasted this long.
4 posted on 09/17/2023 6:16:53 AM PDT by Telepathic Intruder

To: SunkenCiv

Amazing how the science hasn’t been settled for over 300 years on this, but magically it’s settled in days, no hours now when it comes to climate and Covid. What a bunch of slackers these mathematicians have been.

5 posted on 09/17/2023 6:28:58 AM PDT by Dahoser (I finally figured out what to call him: Fakephonyfraudident Biden.)

To: SunkenCiv

Google bard…. “Tell me how to solve these ancient mathematical problems”

6 posted on 09/17/2023 6:29:08 AM PDT by MrRelevant

To: SunkenCiv

2 + 2 = something like 4

7 posted on 09/17/2023 6:36:32 AM PDT by Bounced2X (Boomer - I survived childhood with no bike helmet.)

To: Bounced2X

Seen on a bumper sticker:

2 + 2 = 5

for very large values of 2

8 posted on 09/17/2023 6:39:56 AM PDT by AF_Blue (My decision-making skills closely resemble those of a squirrel when crossing a road)

To: Dahoser

To which I’d add, I’m sure mathematicians will allow challenges to these solutions. And that’s exactly the way it’s supposed to work.

But no challenges are permitted when it comes to Climate Change or Covid. Scientists must accept the official explanations, or be cancelled. Lose your job, lose your reputation, lose your career.

It’s all very medieval.

9 posted on 09/17/2023 6:41:26 AM PDT by Leaning Right (The steal is real.)

To: AF_Blue

> 2 + 2 = 5, for very large values of 2 <

Ha! That’s actually an old saying in physics.

For the curious, here’s an example. Let’s say you have a poor scale that can only measure weight to the nearest pound. You weigh a brick, and get 2 pounds. But the brick might actually weigh 2.4 pounds if measured to the nearest tenth of a pound.

So two 2-pound bricks together would weigh 5 pounds.
(2.4 + 2.4 = 4.8, rounds to 5)

10 posted on 09/17/2023 6:53:19 AM PDT by Leaning Right (The steal is real.)

To: SunkenCiv

Hmm...at what point is one solution different from another?
Obviously if they’re all nonintersecting ellipses is the simple solution.

I’m having a hard time imagining 12000 different solutions with 3 bodies.

11 posted on 09/17/2023 6:56:40 AM PDT by scrabblehack

To: SunkenCiv
Earth, moon, sun is a three body problem, and not a trivial one. It not necessary for three body problems to have an initial condition of three bodies being mutually at rest. The initial conditions must include the position and three dimensional velocity vector of each.
12 posted on 09/17/2023 6:57:55 AM PDT by Lonesome in Massachussets (If Kitty Genovese had a gun, she’d be in jail today.)

To: Leaning Right

Thar old saying now also applies when a voting machine (computer) counts each 1 Democrat vote as 1.2 Democrat votes.

13 posted on 09/17/2023 6:58:11 AM PDT by PermaRag (Joo Biden is not my President)

To: SunkenCiv
Three body problem? Is that another name for a Chinese sandwich?

14 posted on 09/17/2023 6:58:29 AM PDT by Governor Dinwiddie

To: Governor Dinwiddie

Its a very good Chinese Science Fiction novel.

“The Three Body Problem”, Liu Cixin

Get it. Its a very high concept bit of art.

15 posted on 09/17/2023 7:03:22 AM PDT by buwaya (Strategic imperatives )

To: Leaning Right

You can’t be more accurate than your measuring device.

Been telling people that for years.

That’s why any claims of temperatures over thousands of years claiming accuracy to thousandths or even tenths of a degree by TREE RINGS are bullsh*t.

16 posted on 09/17/2023 7:03:36 AM PDT by Mr. K (No consequence of repealing Obamacare is worse than Obamacare)

To: scrabblehack

12000 different solutions that produce 12000 different orbital forecasts keeps actual behavior unpredictable.

17 posted on 09/17/2023 7:06:35 AM PDT by buwaya (Strategic imperatives )

To: Mr. K

> You can’t be more accurate than your measuring device. <

Right! And every measurement must include a calculated estimate of uncertainty. In other words, a range of possible values. Somewhere in that range is the true value.

When it comes to Climate Change, we are never given that range. This tells me that the “scientists” are just picking a value within that range, one that will best please their masters.

That’s more than just bad science. It’s dishonest behavior.

18 posted on 09/17/2023 7:10:17 AM PDT by Leaning Right (The steal is real.)

To: SunkenCiv

Just find a real number for pi....it drives me crazy.....22/7

19 posted on 09/17/2023 7:18:59 AM PDT by Sacajaweau ( )

To: SunkenCiv

Three-Body [30 episodes, Cixin Liu author ]
https://new-gomovies.online/watch-tv-show/three-body-season-1/SENG05Qb/vv34le64/lojah9kd-online-free.html

20 posted on 09/17/2023 7:24:39 AM PDT by PIF (They came for me and mine ... now its your turn)