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Re:Relativistic Spaceship by AlexAndScripts on Monday February 05, 2024 @04:02PM (#39267135)
I had no idea you could achieve relevant amounts of time dilation so "easily" with relatively small (1m/s) of constant thrust - such that interstellar travel becomes somewhat viable provided you can continuously accelerate for the entire trip. Googling it, it would take approximately three years of observed time for a traveller to get to alpha centauri at 1g.

Could any somewhat-plausible technologies (fusion etc) get us to that point? I don't know how to do relatavistic maths, but it seems that directly converting mass to energy and ignoring relatavistic effects requires 50 000kg to accelerate 100 000 kg (with a constant relationship, as the C^2 cancels out) to the speed of light.

Re:Relativistic Spaceship by Workaccount2 on Monday February 05, 2024 @04:38PM (#39267589)
Even if you can figure out the problem of thrust, you still have to deal with particles slowly swiss-cheesing your ship.

And even beyond that, you either witness the ships leaving and never hear back or you embark on one and comeback to whatever Earth is in thousands of years from now.

Re:Relativistic Spaceship by MilStdJunkie on Monday February 05, 2024 @04:22PM (#39267383)
One gee over the course of months is insane. Even if you converted the entire "fuel" reaction mass directly into momentum, you're still carrying tens or hundreds of thousands of tons of fuel for any remotely habitable spacecraft. And no engine has perfect mass conversion. Matter-Antimatter has been simulated to be maybe sixty percent efficient, fusion is around 17%, nuclear pulse propulsion a surprising 7%, fission nuclear gas rockets might max out at 12% but those numbers are dodgy as we don't have sharp numbers on gas core reactors.

As an SF writer, it's pretty interesting, though, to think of the weird shapes a society would take when your astronauts are outliving entire civilizations. I imagine a sort of neo-Polynesian culture, with travellers never quite knowing how the place will look if they ever come back that way.

Re:Relativistic Spaceship by agent281 on Monday February 05, 2024 @08:16PM (#39269539)
That's basically the plot of the Forever War. When you drop out of hyper drive (or whatever they called it) you never know if you are going to be battling a ship from your future or your past. The very society that you fight for is completely alien. It's incredibly alienating.
Re:Relativistic Spaceship by knodi123 on Monday February 05, 2024 @04:45PM (#39267675)
In the book series The Expanse, that was pretty much the only unrealistic technology that the humans had, which allowed them to colonize the solar system. Sure, there was some might-as-well-be-magic alien stuff later in the book, but by page 1, humans have colonized the solar system, purely with a hand-wavy engine that can generate sustained thrust without needing tons of reaction mass and without turning your exhaust port into an unimaginable hell cannon.
Re:Relativistic Spaceship by MilStdJunkie on Monday February 05, 2024 @07:05PM (#39268962)
I'm going to embarrass myself horribly here, but I've only seen the series, so I'm not a hundred percent clear on how much acceleration they're pulling in cruise[1]. If it's something like .3 g then they're fairly close[2] to the limits of something like a fusion pulse drive (tiny nodules of deuterium or whatever, ejected out the back of the ship, then lasered into fusing, then the reaction pushes on the whatever - magnetic field, pusher planet, etc). That would make the solar system something more like what the Atlantic Ocean was in the days of sail.

They'd need refuels every stop though. Like with early coal fired steamers back in the day.

I got a funny feeling that without much better genetic muckety muck, the hard limit will be the human organism itself. Someone will get to the stars = if we don't screw everything up - but the someone won't be human, or maybe nothing like human.

[1] I know in emergencies they pull mad g, but it doesn't seem like something they keep up for long. Would still burn through their deuterium in no time though.

[2] Like, within an order of magnitude or two.

Re:Relativistic Spaceship by Eddy_Viscosity2 on Monday February 05, 2024 @07:36PM (#39269246)
The ships cruise anywhere from 0.3 to 1G, the lower end mainly for comfort of people who grew up in space. But, the fictional drive is so efficient it could sustain 10s of G for extended periods (weeks, months).
Re:Relativistic Spaceship by taneq on Tuesday February 06, 2024 @06:38AM (#39273201)
Didn’t the guy who invented the drive essentially squish himself flat (too many G’s to lift his hand and reach the ‘off’ button, anyway) with his first prototype being efficient enough that it was still going during the story?
Re:Relativistic Spaceship by Chris2048 on Tuesday February 06, 2024 @09:29AM (#39274541)
There's a scene about the discovery: He disables voice control (or switches it to Chinese) so at high-G he cannot hit the stop button, nor command it to stop.
Re:Relativistic Spaceship by moron4hire on Monday February 05, 2024 @06:16PM (#39268538)
No, the exhaust port definitely was an unimaginable hell cannon. The characters spoke several times about slagging a ship or a surface base in their drive plume.
Re:Relativistic Spaceship by knodi123 on Monday February 05, 2024 @07:41PM (#39269283)
Oh, I missed that! Seems like those drives ought to have been more carefully regulated then.
Re:Relativistic Spaceship by caust1c on Monday February 05, 2024 @08:22PM (#39269600)
Cool detail about that in the Nauvoo launch sequence, slagging the scaffolds / gantries / whatever the construction exoskeleton is.

https://youtu.be/0KZRFIdbJzc?t=147

Re:Relativistic Spaceship by neaden on Monday February 05, 2024 @05:05PM (#39267902)
Eh, there is a ton of unrealistic technology in book 1, the stealth ship for instance is impossible. By the authors own words they don't think of the books as being Hard Sci-Fi, harder then Star Trek sure.
Re:Relativistic Spaceship by mplewis9z on Monday February 05, 2024 @06:55PM (#39268881)
What makes you think the stealth ship is impossible? They explain the concept pretty well in the first book: extensive cooling systems to soak up waste heat, large liquid tanks to store that heat internally for a while, and radar-absorbing coatings. We literally have all of those pieces today, it’d just cost unfathomable amounts of money to build with our current technology.

As a bonus, they even talk about the radar-absorbing coating not being perfect, and being able to detect the stealth ship as an object a few Kelvin above the background radiation when they pumped their radar into it.

Re:Relativistic Spaceship by fredthedeadhead on Tuesday February 06, 2024 @02:13AM (#39271675)
Project Rho gives several compelling reasons why there ain't no stealth in space

https://www.projectrho.com/public_html/rocket/spacewardetect...

Re:Relativistic Spaceship by mplewis9z on Tuesday February 06, 2024 @02:31AM (#39271792)
I don't know when that was written, but it definitely feels like The Expanse authors read that exact page and built their stealth system to address those points - the stealth ships in the books aren't permanently stealthy (they have to radiate their heat from the internal heatsinks after some amount of time, seemingly on the order of months), and are immediately detected when they light up their engines (and hence coast until they reach their destination).

The main characters also manage to find a stealth ship after coming across coordinates to it - it was parked and completely offline (and unmanned) in the orbit of a small asteroid, which would further obscure any signature it might give off.

Re:Relativistic Spaceship by neaden on Tuesday February 06, 2024 @10:14AM (#39275053)
Unfortunately for cool space battles, no this still doesn't work for the reasons outlined.

First off you have to remember that when a ship turns it's engine on it's going to be visible effectively to the entire solar system unless there is a planet or something in the way. We already have the capability that we would notice a ship moving in the asteroid belt from Earth and in the Expanse it's going to be even higher. So everyone already will have known when you turned your engines on and can run the calculations to see where you are while you are coasting, so even within the confines of the fiction that shouldn't work.

But let's ignore that and say that for some reason no one was looking when you turned your engines on. Assuming your ship is somehow running with all systems off it's going to be roughly 300 C hotter then the vacuum around it, even with a heatsink like you mention (and a heatsink that can store that heat for months is also unrealistic) you're going to be sticking out like a sore thumb to any infa-red. You're just too hot.

Re:Relativistic Spaceship by perardi on Monday February 05, 2024 @07:56PM (#39269394)
Have you read Tao Zero?

https://en.wikipedia.org/wiki/Tau_Zero

Classic hard sci-fi. A colony ship’s Bussard ramjet has a glitch, and it cannot stop accelerating—and basically forever, given time dilation.

Re:Relativistic Spaceship by ryandrake on Monday February 05, 2024 @04:35PM (#39267560)
> As an SF writer, it's pretty interesting, though, to think of the weird shapes a society would take when your astronauts are outliving entire civilizations.

I guess this all depends on how you define simultaneity. Say I got on a relativistic rocket traveling near c and colonized Planet X in 10 years ship time and say 20,000 years Earth time. I put up my TV antenna as soon as I land, and I'd still be receiving Earth transmissions from approximately 10 years after I left, no? So even though civilization is long gone from Earth's point of view, from my point of view, I can keep up with the latest news as if I were still living there. So from my point of view I did not outlive anything.

If I were to go back, yes, everything would be gone.

Re:Relativistic Spaceship by sophacles on Monday February 05, 2024 @06:19PM (#39268564)
That's not how it works. If the planet is N light years away from earth, the transmissions you receive would be those sent 20000-n years ago. along the way you'd get most of the messages sent during the 20k years as very red-shifted light, and extremely rapidly from your pov.
Re:Relativistic Spaceship by BoiledCabbage on Monday February 05, 2024 @08:45PM (#39269750)
I think you may have that wrong (If I'm understanding you correctly).

If you traveled at the speed of light then you'd be at the planet in 0 time your time, and you would arrive with the first of the broadcasts over those 20k years. So once on the planet you'd get to watch all 20k years of broadcasts.

If you traveled at 1/2 the speed of light (not focusing on your dilation for the moment), then you'd still beat 50% of the transmissions and have 10k earth years of broadcasts to watch.

I think the question is what % of the speed of light is a gamma factor of 20k/10 = 2000. That's something like 99.9999999% of the speed of light.

Meaning you would get there before 99.99999% of the broadcasts had arrived and you'd be able to watch just about all of them in real time over the next (just less than) 20k years.

Assuming those two planets are roughly in the same reference frame, the only way 20k years could pass on earth w.r.t. your arrival is if the destination planet is 20k light years away.

If the destination planet is moving relativistically away from earth at an appreciable percentage of the speed of light then I couldn't say what the math would be. Maybe still the same, maybe not.

Re:Relativistic Spaceship by hakuseki on Tuesday February 06, 2024 @01:03AM (#39271282)
Are you planning to decelerate by crashing into the planet at relativistic speed?
Re:Relativistic Spaceship by cypherpunks01 on Monday February 05, 2024 @04:53PM (#39267766)
While traveling near c, I believe you'd be receiving Earth transmissions from approximately the same time you left, Earth clocks would appear to slow down to a crawl. But if you land on another planet and change reference frame to be more "stationary" again relative to Earth, I think a massive amount of Earth time would suddenly appear to have elapsed very quickly during the process of slowing/landing because of the huge shift in simultaneity.
Re:Relativistic Spaceship by ryandrake on Monday February 05, 2024 @05:01PM (#39267846)
Pretty sure only those 10 ship years worth of transmissions would suddenly appear. You're still 20K light years away so the rest of those years' transmissions are still in flight.
Re:Relativistic Spaceship by cypherpunks01 on Monday February 05, 2024 @06:02PM (#39268426)
Hmm I suppose you're right. I guess you'd see very few transmissions during the journey due to time dilation, and then those 10 years would arrive relatively quickly when slowing/stopping?

I was thinking of this being the first half of the twin paradox, but perhaps for the apparent "time gap" in the spacetime diagram to appear, it's necessary for the traveling twin to turn and head back towards Earth quickly to shift simultaneity plane back in the other direction.

Re:Relativistic Spaceship by slow_typist on Monday February 05, 2024 @05:03PM (#39267871)
There is no payback day in time dilation.
Re:Relativistic Spaceship by EvanAnderson on Monday February 05, 2024 @05:18PM (#39268030)
> I imagine a sort of neo-Polynesian culture

This makes me think of the Quen Ho in Vernoe Vinge's "Zones of Thought" universe.

Re:Relativistic Spaceship by Teever on Monday February 05, 2024 @04:34PM (#39267546)
What if you didn't carry the fuel? Use stationary lasers from your starting point to power your journey half way until you lasers from your destination to slow your craft down.
Re:Relativistic Spaceship by cypherpunks01 on Monday February 05, 2024 @05:02PM (#39267855)
I think the perceived output from stationary lasers on Earth would appear to decrease as your speed increases, since you're accelerating away from the laser photon packets. Because of that behavior, I'm not sure it's a feasible way to get up to relativistic speed?

I think the lasers would also need ~10,000 years of fuel, as opposed to ~10 years of fuel if you could somehow figure out how to carry it. But the energy to sustain in either case is probably measured in Dyson spheres, or some fraction of all energy in the universe pretty quickly too.

Re:Relativistic Spaceship by PeterisP on Tuesday February 06, 2024 @03:52AM (#39272320)
Time dilation also has an effect, since you're receiving 10000 Earth-years of laser energy over 10 ship-years.
Re:Relativistic Spaceship by MilStdJunkie on Monday February 05, 2024 @07:08PM (#39269000)
That's the drive of the eponymous generation ship in Kim Stanley Robinson's Aurora. It sends a mirror ahead of itself, then the Sol-Mercury lasers bounce off the mirror, back on the ship to slow it down.

I could see the light spacecraft with their matter-antimatter engines laying down "lightways", like railroads in the old west. Once a lightway is established, then it's much less of a big deal to get from system to system. Apart from the tens of thousands of years in subjective time, of course.

Re:Relativistic Spaceship by pc86 on Monday February 05, 2024 @04:50PM (#39267732)
Of all the dangers associated with spaceflight it's a pretty interesting concept to add "lasers at the origin shut off for whatever reason" and "lasers at the destination never turn on / are misaligned / turn on too soon / turn on too late" to the list. Not sure I'd want to be in a spacecraft careening through the cosmos with no realistic way to slow it down.
Re:Relativistic Spaceship by jandrese on Monday February 05, 2024 @05:13PM (#39267981)
There is also the question of how you get the lasers to your destination in the first place.
Re:Relativistic Spaceship by MilStdJunkie on Monday February 05, 2024 @07:11PM (#39269020)
Send a mirror ahead, bounce the beam back toward the ship to push it backwards. Loses a lot of efficiency, though. Laser propulsion, a lot of the thrust is coming from ablation of the surface.
Re:Relativistic Spaceship by eru on Monday February 05, 2024 @08:10PM (#39269500)
How do you 'send a mirror ahead'? Do you want it to stop, or just keep flying away indefinitely?
Re:Relativistic Spaceship by MilStdJunkie on Monday February 05, 2024 @08:23PM (#39269608)
Yep, throwaway mirror, it goes off to wherever once it's done bouncing light back at your ship. Again, much less efficient, so when you get where you want to go, you'd want to put in a laser station there too.
Re:Relativistic Spaceship by Teever on Monday February 05, 2024 @06:23PM (#39268602)
Use lasers for the first half of the journey to send a rocket that can decelerate and build the laser station at the destination.
Re:Relativistic Spaceship by NotYourLawyer on Monday February 05, 2024 @04:56PM (#39267796)
The farther you get, the dimmer the laser gets. The faster you get, the less energy each photon has.
Re:Relativistic Spaceship by slow_typist on Monday February 05, 2024 @05:09PM (#39267943)
Note that the 2nd statement only applies because of the Doppler effect - energy of the photon is a function of its frequency.
Re:Relativistic Spaceship by AnimalMuppet on Monday February 05, 2024 @04:43PM (#39267663)
Can you explain why matter-antimatter only has 60% efficiency?
Re:Relativistic Spaceship by mikeyouse on Monday February 05, 2024 @05:09PM (#39267938)
> This is the primary reason for selecting the annihilation of a proton (p+) and antiproton (p–-); the products include neutral and charged pions (πo, π+, π-), and the charged pions can be trapped and directed by magnetic fields to produce thrust. However, the pions produced in the annihilation reaction do possess (rest) mass (about 22% of the initial protonantiproton annihilation pair rest mass for charged pions, 14% for the neutral pions), so not all of the protonantiproton mass is converted into energy. This results in an energy density of the proton-antiproton reaction of "only" 64% of the ideal limit, or 5.8x1016 J/kg.

I love that someone wrote and published a serious paper where the end design involved first stage thrust of 550 million ft-lbs and the total ship weighs something like 17 million metric tons and if I'm reading page 26 correctly, the payload on the ship has to be 7,500 kilometers from the ignition source to survive.

https://www.relativitycalculator.com/images/relativistic_pho...

Re:Relativistic Spaceship by JumpCrisscross on Monday February 05, 2024 @04:59PM (#39267831)
> Can you explain why matter-antimatter only has 60% efficiency?

We don’t know how to use all the reaction products for thrust [1].

[1] https://en.m.wikipedia.org/wiki/Electron–positron_annihilati...

Re:Relativistic Spaceship by c12 on Tuesday February 06, 2024 @03:46AM (#39272281)
While there may be a 100% anilation with matter-antimatter reactions the resulting thrust is not perfectly efficient due to energy consumed as the rest mass of charged and uncharged pions, energy consumed as the kinetic energy of the uncharged pions (which can't be deflected for thrust); and energy consumed as neutrinos and gamma rays.

I'm unsure if the resulting efficienty is 60% however, not all of the energy produced in the anilation is converted to "stuff" that is useful for thrust.

Re:Relativistic Spaceship by marmaduke on Tuesday February 06, 2024 @03:07AM (#39272049)
What do you think about the gravity well "drive" in three body problem trilogy? I thought it was fairly clever, especially given the stories describing it beforehand (maelstrom iirc?)
Re:Relativistic Spaceship by ausp on Tuesday February 06, 2024 @10:48AM (#39275622)
> As an SF writer, it's pretty interesting, though, to think of the weird shapes a society would take when your astronauts are outliving entire civilizations.

Spin, a novel by Robert Charles Wilson, touches on this from a planetary perspective. Quite the interesting read, though I won't say more here for fear of spoilers.

Re:Relativistic Spaceship by ianburrell on Monday February 05, 2024 @04:17PM (#39267307)
It isn't possible without a magic reactionless drive; it might even require a zero-energy drive since the kinetic energy is huge and needs to come from somewhere.

The rocket equation kills you. A reasonable fusion rocket would require an enormous (like an entire planet worth) to continuously accelerate to relativistic speeds. Antimatter drives are the only option and still require large amounts of reaction mass since have to absorb the energy to throw it out the back, or use a laser.

Re:Relativistic Spaceship by nabla9 on Monday February 05, 2024 @05:56PM (#39268374)
You need to get around the rocket equation.

> we estimate the neutral hydrogen density in the unperturbed local interstellar medium of 0.195 ± 0.033 cm−3 https://iopscience.iop.org/article/10.3847/1538-4357/abb80a

You need a hydrogen 'scoop' and fusion. If you can accelerate to 0.01c, you can collect enough hydrogen for 1000 MW fusion power from 32 km2 (6 km diameter) scoop area. Faster you fly, more you get. You can accelerate until interstellar particles start to do real damage.

Re:Relativistic Spaceship by matheusmoreira on Tuesday February 06, 2024 @12:18PM (#39277198)
Nice. Doesn't even require approaching large stars like in Elite Dangerous!
Re:Relativistic Spaceship by eek2121 on Monday February 05, 2024 @05:20PM (#39268041)
Well the obvious solution would be to figure out a mechanism to capture the particles that bombard your ship and figure out a way to turn those particles into thrust so you don’t need to take a bunch of fuel with you, which I get it, is another hard problem to solve, but maybe not impossible. We have done some incredible things before.
Re:Relativistic Spaceship by qayxc on Monday February 05, 2024 @05:40PM (#39268228)
The good old Bussard Ramjet. Problem is, recent calculations showed that it's not viable - even for a Kardashev Type II civilisation [1]

[1] https://www.sciencedirect.com/science/article/pii/S009457652...

Re:Relativistic Spaceship by throwaway11460 on Monday February 05, 2024 @05:59PM (#39268398)
It's not viable to use it to visit the galactic center during a lifetime, but it still flies, if I understand that correctly?
Re:Relativistic Spaceship by qayxc on Monday February 05, 2024 @07:07PM (#39268990)
Theoretically it works, yes, though not nearly as well as initially thought. The engineering and the required materials, however, are still questionable and way beyond our current understanding of physics and material science.

It's a similar story for solar sails, unfortunately, though progress is being made in that area. Personally, I think that's the only realistic way of interstellar travel given our current knowledge of physics and engineering.

Re:Relativistic Spaceship by JumpCrisscross on Monday February 05, 2024 @04:12PM (#39267247)
> Could any somewhat-plausible technologies (fusion etc) get us to that point?

Nuclear thermal or nuclear pulse propulsion. No fusion needed.

Re:Relativistic Spaceship by ianburrell on Monday February 05, 2024 @04:23PM (#39267393)
Nuclear thermal or pulse, fission or fusion, aren't enough for interstellar relativistic speeds. They have way too low specific impulse. They don't even have enough for constant acceleration inside the solar system unless the acceleration is really low or the fuel ratio is huge.
Re:Relativistic Spaceship by JumpCrisscross on Monday February 05, 2024 @04:48PM (#39267708)
> unless the acceleration is really low or the fuel ratio is huge

You’d need kilotons of nuclear fuel and a 10^3 fuel ratio. But that’s plausible.

The economically-plausible answer is antimatter, where the ratio stays in the single digits and starts permitting deceleration. But I wouldn’t call that technologically plausible at this time.

Re:Relativistic Spaceship by ben_w on Monday February 05, 2024 @04:50PM (#39267727)
For practical values, nuclear pulse propulsion would only get you up to a few percent of the speed of light.

The best nuclear thermal, gas core, would give you 7000 seconds[0]. A "dusty plasma" rocket (suspend the nuclear fuel in dust form in a magnetic field) might get 100,000 seconds, or just over a day of accelerating at 1g.

[0] for the benefit of non-space nerds: the unit of measure is "lb-force seconds per lb-mass of fuel", which is kinda like "seconds at 1g" if the fuel is a very small fraction of the total mass, which it really won't be in a practical rocket.

Re:Relativistic Spaceship by mattclarkdotnet on Monday February 05, 2024 @08:37PM (#39269696)
g-seconds then? That seems like a very handy unit
Re:Relativistic Spaceship by Dylan16807 on Monday February 05, 2024 @11:52PM (#39270927)
Re:Relativistic Spaceship by ninkendo on Monday February 05, 2024 @06:46PM (#39268793)
> which is kinda like "seconds at 1g" if the fuel is a very small fraction of the total mass, which it really won't be in a practical rocket.

I think you mean “a very large fraction of the total mass”… generally the best efficiency comes if your fuel mass fraction is high, as it means there is little overhead of things in your spacecraft of things that are not fuel (the mass of the engine, etc)

Re:Relativistic Spaceship by ben_w on Monday February 05, 2024 @07:06PM (#39268976)
No, I mean small, because I'm talking about the quality of the approximation not the way to maximise delta-v.

If you have 1 gram of fuel and a 1 ton payload and that fuel has 1e6 seconds of Isp, you can accelerate the ship for 1 second at 9.8m/s/s.

If you have 1 ton of fuel and a 1 gram payload and the same fuel and burn at 1 gram/second, the first second is mostly spent accelerating the fuel, which means you're no longer able to just approximate the Isp as "seconds at 1g" in a nice linear fashion — it starts off at 1 gee in this example, but ends up at 10^6 gee in the last moment, a million seconds later.

Re:Relativistic Spaceship by ninkendo on Tuesday February 06, 2024 @10:01AM (#39274881)
Makes sense, I misunderstood your initial post. Thanks for clarifying!
Re:Relativistic Spaceship by floxy on Monday February 05, 2024 @04:31PM (#39267507)
"Roundtrip Interstellar Travel Using Laser Pushed Lightsails"

https://ia600704.us.archive.org/view_archive.php?archive=/24...

"A one-way interstellar flyby probe mission uses a 1000 kg (1-metric-ton), 3.6-km-diam. lightsail accelerated at 0.36 m/s2 by a 65-GW laser system to 11% of the speed of light (0.11 c), flying by a Centauri after 40 years of travel. "

"...The third mission uses a three-stage sail for a roundtrip manned exploration of e Eridani at 10.8 light years distance."

Re:Relativistic Spaceship by qayxc on Monday February 05, 2024 @05:55PM (#39268362)
Holy cow! I just read the energy requirements of that third mission. Total electricity generation capacity of the entire world is about 12TW today [1], whereas that 3rd mission would require a "formidable" - as the author admits - 45,000TW at least. A mere three orders of magnitude more :)

[1] https://www.statista.com/statistics/267358/world-installed-p...

Re:Relativistic Spaceship by fifticon on Tuesday February 06, 2024 @09:38AM (#39274652)
I have a confused question here. I asked chatGPT what the approx terawatt output of the sun is. It claims it is 384.6 terawatts. I find that hard to reconcile with the earth having 12TW production. Given that your number is probably OK, that would suggest the sun output calc is way off. I wonder if any non-AI contributors have better ballpark estimates for the sun's energy output.. Hmm, I found a non-chatGPT source, which claims the same.. https://www.rmg.co.uk/file/2277/download?token=KyEQPN9O

If this relation is really true, I am somewhat shocked - us burning 1/30th of the suns energy output, can that really be true..?? If so, scary. And also 'illuminating' concerning how unsustainable what we are doing is..?

I do hope my numbers are off.

Re:Relativistic Spaceship by rootusrootus on Tuesday February 06, 2024 @10:13AM (#39275038)
This says we use about 1/10000 of the solar energy that hits the Earth at any given moment.

https://phys.org/news/2011-10-vast-amounts-solar-energy-eart...

Re:Relativistic Spaceship by qayxc on Tuesday February 06, 2024 @01:16PM (#39278133)
That's a very nice figure for context. So the energy required would be about 26% of that. That means it's more power than we could ever hope to capture from solar alone, as only about 29% of the surface is land and some of that isn't particularly great for solar (looking at you rain forests and Antarctica:)

Unless we use space-based systems instead, which would make that a kind of power requirement trivial, ignoring the costs of course ;)

Re:Relativistic Spaceship by rootusrootus on Tuesday February 06, 2024 @01:45PM (#39278609)
I'm not following the math.

Taking the US as an example: depending on who you ask, we could generate enough power for the US with somewhere between 10000 square miles (Elon math) and 21250 square miles (pretty common number given by multiple other sources) of PV.

That is about a fifth of the state of Nevada. A lot of PV, to be sure, but far from beyond hope.

And that assumes nothing but PV, which is unrealistic. We capture a bunch of the sun's energy as wind and rain.

Re:Relativistic Spaceship by qayxc on Tuesday February 06, 2024 @04:44PM (#39281109)
Sorry for the confusion - I was referring to the energy requirements of the interstellar mission, not the power generation of the world.
Re:Relativistic Spaceship by qayxc on Tuesday February 06, 2024 @01:08PM (#39278010)
I'm really not trying to sound condescending here, but your maths is WAY off. Where did you get 384.6 TW from? Your actual source says

   The power output or luminosity of the Sun is 3.8 x 10^26 W
For reference that's 3.8 x 10^14 TW - so your little AI friend is a cool 12 orders of magnitude off here.

Bottom line: do NOT rely on figures provided by generative models. The chance of them being completely wrong seems to be alarmingly high.

Re:Relativistic Spaceship by fifticon on Wednesday February 07, 2024 @05:30AM (#39286819)
thank you, you are indeed right. To wit (for people like me) - 3.8 x 10^26 W 3.8 x 10^23 kW 3.8 x 10^20 MW 3.8 x 10^17 GW 3.8 x 10^14 TW
Re:Relativistic Spaceship by Keyframe on Monday February 05, 2024 @04:23PM (#39267400)
as far as we understand, you have to eject mass in order to move there. pick your choice in that regard.
Re:Relativistic Spaceship by darreninthenet on Monday February 05, 2024 @05:48PM (#39268298)
Even the GPS satellites have to take into special relativity - they have to correct for a tiny amount of time per day due to time dilation causing the moving clocks on the satellites to tick slightly slower than the stationary ones on Earth.
Re:Relativistic Spaceship by Koshkin on Monday February 05, 2024 @06:38PM (#39268730)
Curiously, general-relativistic effects needed to be accounted for as well.

Quoting Wikipedia, GPS “must account for the gravitational redshift in its timing system, and physicists have analyzed timing data from the GPS to confirm other tests. When the first satellite was launched, some engineers resisted the prediction that a noticeable gravitational time dilation would occur, so the first satellite was launched without the clock adjustment that was later built into subsequent satellites. It showed the predicted shift of 38 microseconds per day. This rate of discrepancy is sufficient to substantially impair function of GPS within hours if not accounted for.”

Re:Relativistic Spaceship by phire on Monday February 05, 2024 @11:48PM (#39270907)
Things get more insane the further you go.

After an observed 12 years of constant 1g acceleration, you will be 113,000 lightyears from your point of departure, which is enough distance to cross from earth to the opposite side of our galaxy.

Of course, you are now traveling at 99.999999996% of the speed of light. If you actually wanted to stop at the other side of the galaxy to take a look around, you would need to turn around at the halfway point to decelerate, which roughly doubles the travel time.

Re:Relativistic Spaceship by galangalalgol on Monday February 05, 2024 @11:59PM (#39270956)
Is there any relativistic bonus that makes deceleration easier? Does it take less energy to go from 0.999C to 0.99C than to go from 0.009C to 0C?
Re:Relativistic Spaceship by phire on Tuesday February 06, 2024 @12:47AM (#39271211)
Acceleration and Deceleration are symmetrical. It takes the same amount of delta-v to accelerate between up to 0.999c as it takes to decelerate all the way back down to 0. Though as you burn fuel your ship gets lighter and the actual energy usage to maintain that constant delta-v of 1G will go down.

As for the energy used to accelerate from 0C to 0.009C compared to 0.99C to 0.999C, I'm not sure. I know the time taken (from an external reference frame) changes, but part of me suspects the total energy stays the same and the difference in time taken is caused entirely by time dilation. However, I suspect I might be messing up reference frames, I don't actually know the equations.