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Ok, assume the following
I have
A Necklace of Adaptation
A Clear Spindle Ioun Stone
A Ring of Feather Fall
Wings
The ability to cast both Keep Watch and Endure Elements daily.
And finally, a Decanter of Endless Water.
Assuming I can get into Orbit, say via a Teleport Spell and I use the Decanter of Endless Water for Thrust how long would the trip between the planets take?
The time it takes to get from Akiton's orbit around the sun to Golarion's orbit is sufficient as it would take less then a year additional by back tracing the orbit to meet up with Golorian.
Please note, this is only a semi-serious question, I have no intention of having my character actually do this.
Endure elements is insufficient to cover the absolute zero freezing cold of space.
The correct answer is, use the Interplanetary Teleportation Gates to get from one to the other. The same way Golarion is connected to Castrovel.
Yes, those actually within the lore of Golarion.
Endure elements is insufficient to cover the absolute zero freezing cold of space.
Definitely not. Although this item would suggest that it is enough. Or whomever designed that item just didn't know any better.
The correct answer is, use the Interplanetary Teleportation Gates to get from one to the other. The same way Golarion is connected to Castrovel.
Yes, those actually within the lore of Golarion.
Endure elements is insufficient to cover the absolute zero freezing cold of space.
Actually, space isn't absolute zero, though it is incredibly cold. With no light source or any other source of energy the background radiation of the universe will cause the temperature to be about 3 Kelvin.
However, due to the lack of molecules in space, thereby virtually eliminating heat transfer by conduction or convection, you are left with only heat transfer via radiation. The weakest form of heat energy transfer. The danger of space isn't the temperature, but rather that the oxygen is going to be forced out of your body out of your lungs in the reverse process of how it normally works.
Now...what was the point of saying this? Science mostly. I f!#~ing love science. But in Golarion, magic eliminates most of these problems. Ultimately however, I agree that endure elements is not intended to deal with space travel.
I don't know how fast 30 galons per round is but far slower likely than any rl rocket. You would likely die of old age.
Teleport doesn't help you reach orbit. Orbit is a velocity, not a location
I looked into this briefly once to make a jet boat using a decanter of endless water. To get any sort of speed it would take a lot of them. Can't remember where I found the numbers for comparison, but it turns out that 300 gpm isn't really that much.
The flowrider (water jet pack) is around 30,000 gallons per minute, as an example.
Now of course in space you don't really have friction to deal with. So you would keep accelerating, and eventually could reach very high speeds. Of course you would also have to make turnover and slow down halfway there or you would smash into the planet. And astrogating would be a challenge as well, there is a reason they call it rocket science.
Homework: Play Kerbal Space Program and learn about space travel
Well, I was doing all of the maths, then my iPad died in the middle, so I'll just pick up the highlights:
Average distance from Golarion to Akiton is roughly 236,000,000 km.
The decanter expels water at a rate of 18 kg/s, covering a distance of 6m/6seconds, which gives us a lovely 18N of force.
Assuming a 100kg person (including gear), and applying Newton, we get an acceleration of 0.18 m/s^2
S = ut + .5at^2
Setting S to be half the distance from Golarion to Akiton (assuming you go for a zero-speed end to the journey, you decelerate for the second half), we have:
118,000,000,000 m = 0.5x0.18xt^2
Solving for t, leads us to a journey time of 1,145,037 seconds. That's 190,839 rounds, or approximately 19,084 minutes, or 318 hours, or 13.25 days.
Since that's for half the journey, it would take 26.5 days to get there.
You could just accelerate the whole way, which gets you there in about 18.74 days, but you'd be travelling at 291.5 km/s, and even Feather Fall might struggle to slow you down quickly enough.
Solving the distance between Golarion and Akiton is fairly trivial, thanks to Kepler, and as long as we assume that Golarion is an Earth analogue and the Sun is a Sol analogue (and the mass ratio of 300,000 is pretty close to the Earth-Sol figure of 333,000).
Orbital period, T is a function of the root of the cube of the orbital radius, and in a given solar system all of the other parts of the relevant formula are constants.
Since Akiton's orbital period is 2 years, it is trivial to show that it is cube-root 4 times that of Golarion, or 1.587 times the orbital radius of Golarion.
Assuming the Earth-Sol-like nature extends to Golarion's orbital radius, we get an OR for Akiton of 238,000,000 km, with closest approach of 88,000,000 km and farthest of 388,000,000, which gives us an average separation of 238,000,000 km.
Damn, my earlier numbers were off a bit. Add a bit to those times.
One small detail of escape velocity being unreachable. If you started with it the decanter might work. Maybe reverse gravity by a lot of strategically positioned casters in conjunction with the the decanter...Well, I was doing all of the maths, then my iPad died in the middle, so I'll just pick up the highlights:
Average distance from Golarion to Akiton is roughly 236,000,000 km.
The decanter expels water at a rate of 18 kg/s, covering a distance of 6m/6seconds, which gives us a lovely 18N of force.
Assuming a 100kg person (including gear), and applying Newton, we get an acceleration of 0.18 m/s^2
S = ut + .5at^2
Setting S to be half the distance from Golarion to Akiton (assuming you go for a zero-speed end to the journey, you decelerate for the second half), we have:
118,000,000,000 m = 0.5x0.18xt^2
Solving for t, leads us to a journey time of 1,145,037 seconds. That's 190,839 rounds, or approximately 19,084 minutes, or 318 hours, or 13.25 days.
Since that's for half the journey, it would take 26.5 days to get there.
You could just accelerate the whole way, which gets you there in about 18.74 days, but you'd be travelling at 291.5 km/s, and even Feather Fall might struggle to slow you down quickly enough.
Very true: my maths assumes no gravitational influences are in play. You have to get into microgravity, first. That's actually the hard part, but I doubt it's insurmountable with a long enough duration on fly.
One small detail of escape velocity being unreachable. If you started with it the decanter might work. Maybe reverse gravity by a lot of strategically positioned casters in conjunction with the the decanter...Well, I was doing all of the maths, then my iPad died in the middle, so I'll just pick up the highlights:
Average distance from Golarion to Akiton is roughly 236,000,000 km.
The decanter expels water at a rate of 18 kg/s, covering a distance of 6m/6seconds, which gives us a lovely 18N of force.
Assuming a 100kg person (including gear), and applying Newton, we get an acceleration of 0.18 m/s^2
S = ut + .5at^2
Setting S to be half the distance from Golarion to Akiton (assuming you go for a zero-speed end to the journey, you decelerate for the second half), we have:
118,000,000,000 m = 0.5x0.18xt^2
Solving for t, leads us to a journey time of 1,145,037 seconds. That's 190,839 rounds, or approximately 19,084 minutes, or 318 hours, or 13.25 days.
Since that's for half the journey, it would take 26.5 days to get there.
You could just accelerate the whole way, which gets you there in about 18.74 days, but you'd be travelling at 291.5 km/s, and even Feather Fall might struggle to slow you down quickly enough.
You could use fly, or any method of supernatural flight, to bypass escape velocity. Because supernatural flight is a steady speed unaffected by gravity or air pressure you could literally just float up out of the atmosphere. Once in low orbit you make a constant prograde 'burn' with your decanters which will eventually allow you to reach escape velocity. The only tricky thing is making sure that you have either a permanent spell or enough castings that you can keep it up permanently.
Getting your trajectory right with limit references is going to be super difficult though.... but it's definitely doable. Extra decanters would also be super helpful.
RE Hohmann orbits:
A lot of modern day space flight orbital technique/transfer isn't necessary in this scenario, because the bottle provides endless thrust. Modern day calculations are based around minimisation of fuel consumption as that is usually the limiting factor, not time per se. In our decanter example, the opposite is true.
Using the fly spell (in game physics), you can move a maximum of 240 feet in six seconds (by making a Run action).
You cannot use the run action while flying under the effects of a fly spell.
The subject of a fly spell can charge but not run...
So double your final number.
I'm gonna +1 lincolhills' two plane shifts. You'll only arrive a max of 500 miles off target