This is topic What's the difference between known & explored space? in forum General Trek at Flare Sci-Fi Forums.


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Posted by Shik (Member # 343) on :
 
No, seriously.

In the midst of revamping my writing with acceptable, semi-logical interstellar distances & volumetrics (which...don't even get me started...), I snagged myself on a semantic sandbar. The terms "known space" & "explored space" seem to be used interchangeably, but I don't feel they really are. In terms of exploration directives & knowledge ranges, they're different things, but I'm having difficulty setting down concrete definitions.

Currently, I'm leaning toward known space entailing all that's publicly accessible through knowledge; it may have been charted by subspace telescope or visited by probes, but the general layout is known. Explored space would be more detailed; actually visited by ships & crews, surveyed, plotted, mapped, all the bits sussed out. That seems a good layout...but.

Anyone care to opine?
 
Posted by 137th Gebirg (Member # 2692) on :
 
^^^ That's how I look at those two terms, too, yes.
 
Posted by Lee (Member # 393) on :
 
I zuppose you could take some known examples of stars visited by one of the series' ships, and use that to calculate a radius, then work out how many stars there are in that spherical volume.
 
Posted by Shik (Member # 343) on :
 
Actual Deneb in "Farpoint" is 2800 ly away. Mintaka is 1200. Actual Rigel is 900.
 
Posted by Guardian 2000 (Member # 743) on :
 
Baby, I got this, from the 8000 light-years back through Kozinski vs. Wesley:

https://st-v-sw.net/STSWcompare.html#Size
 
Posted by Shik (Member # 343) on :
 
On a related note, any math geeks here? I need to formulate the volume of a bulged disk (like a galaxy or a discus) & I'm unsure if it's considered an oblate spheroid or if there's an actual disk formula. Also, if the latter, is there an online calculator for it?
 
Posted by Guardian 2000 (Member # 743) on :
 
For the Federation volume I've just used a short elliptic cylinder elsewhere, since the thickness is somewhat quasi-uniform-ish out this far. So, if the Federation is 8kly by 6kly and 1kly thick, it goes like this:

Volume = πABH/4
Volume = π(8000ly)(6000ly)(1000ly)/4
Volume = π(48,000,000,000ly³)/4
Volume = π(12,000,000,000ly³)
Volume = 37,669,080,000ly³

37.67 billion cubic light-years, in other words.

Going full oblate spheroid would be superior for the galaxy as a whole, but even that would be an estimate.
 
Posted by Shik (Member # 343) on :
 
Yeah, but, uh.....I need to do these calcs at various sizes, & I don't follow your shapings.

At any rate, I wanted to avoid cylindering, but I guess I've no choice. Back to applying "Hamilton" lyrics as subchapter headings.
 
Posted by Guardian 2000 (Member # 743) on :
 
No worries, just giving an example. The oblate spheroid formula uses the radius, not the diameter, and in the below the radius A is for the length and width, with C as the height:

Volume = (4/3)πA²C

Now, we could also estimate an irregular oblate spheroid, a.k.a. an ellipsoid, like the E-D saucer section, simply by having an ABC form with A being half the length (Ten Forward back to the arboretum), B as half the width (port to starboard), and C as half the height (bridge to yacht).

But, as I am not at a spot right this second to pull those numbers, I'll use my 8*6*1 again:

Volume = (4/3)πABC
Volume = (4/3)π(4000)(3000)(500)
Volume = (4/3)π(6000000000)
Volume = 8000000000π
Volume = 25,132,741,228 ly³

So, whereas a box that's 8000*6000*1000 would have a volume of 48,000,000,000 cubic light-years, a disk only has 37,670,000,000 (having removed the corners), and an ellipsoid only has 25,100,000,000 thanks to shaving off the top and bottom of the edges all the way around.

There is a calculator for spheroids and ellipsoids here: https://planetcalc.com/149/ . . . just remember to use radius, not diameter, for that.

Alternately, what numbers are you wanting to use?
 
Posted by TSN (Member # 31) on :
 
Have you tried just typing it into Wolfram Alpha?
 
Posted by Shik (Member # 343) on :
 
Yeah, I've been using Planetcalc for my spheroids, but couldn't find dick for disks.

My numbers vary on point it time. I'm still working out revising what I've written so far for more logic & such. There's also the matter of vertical vs. horizontal expansion, how much space is solid vs. pseudopods & tendrils (or even webbing), & what stated values to adhere to & what to cast aside (for example, Bajor being 52.3 ly from Sol, yet still being "the frontier).

[ April 08, 2017, 09:16 PM: Message edited by: Shik ]
 
Posted by Guardian 2000 (Member # 743) on :
 
52.3 light-years from Bajor to Sol / Earth? I don't have the DS9:TM anymore, but my understanding was that it didn't say that, either numerically or in text:

quote:
p.3, Section 1.1, Local Stellar Neighborhood
"The Bajoran and Cardassian star systems, some 50 light-years from the core Federation worlds..."

quote:
p.17, Section 1.5, Support Flight Procedures
"Specialized high-warpcourier vehicles can be employed for critical missions and are able to cover the 50.3-light-year distance between the station and the UFP inner perimeter within six days."

Inner perimeter and core can mean quite a lot given a Federation spread across 8000 light-years, especially when worlds like Trebus in the DMZ were thousands of light-years from Earth.
 
Posted by Shik (Member # 343) on :
 
The implication was intended that they meant Earth, but either way, I wasn't going to abide by that distance anyway.

I might just invest in one of those 3D printing pens one day to build a more accurate map when I'm done with all this.
 
Posted by Guardian 2000 (Member # 743) on :
 
Maybe this will get you started . . .

http://bathsheba.com/crystal/starmap/
 
Posted by Shik (Member # 343) on :
 
That's kinda neat.
 


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