Size of Roshar

[AngelDeath]

Is there any word on how big the continent of Roshar is? It's referred to as super-continent, so i'm guessing it's bigger then any earth continent. If so that would make Alethkar really huge.    

[The One Who Connects]

On 11/1/2017 at 2:11 PM, Wreith said:

I found the virtual globe one, but it didn't actually talk about the size, just the images so I ignored it.

If it was in this thread, there was a minor reference of size.

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PS - I checked with the Inestimable Peter Ahlstrom and he said my placement of the landmass on the latitude/longitude lines was "very close to spot-on."

Latitude/Longitude lines are rather useful when combined with the size of the planet.

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This whole thread is pretty out of date. I don't think it got serious attention after WoR, and Arcanum Unbounded gave a few more tidbits.

AU canonized the 0.7g gravity and told us Roshar is 0.9 the "standard" size. (i.e. Earth). So the radius is 5740km. From there we can use that equation to calculate the mass: m = 0.7g (5740km)² / G = 3.389×10²⁴ kg

I'm no expert, but Longitude/Latitude Lines are fractions of 360°, and we can get the circumference of the planet from the Radius.

Part One: Longitude

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Circumference = 2πr
2 * 5740 = 11,480    11,480 * π = 36,065.48366
Circumference of Roshar(Planet): ~36,065.48km

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Circumference = 360°
The map has 18 equidistant longitude lines on it.  360/18 = 20
Longitude Segments: 20° each

36,065.48366etc../18 = 2,003.63798
Longitude Segments: ~2,003.64km each

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Roshar(Continental, not including Aimia) occupies 7 Longitude Segments.
2,003.64798etc... * 7 = 14,025.465869
Width of Roshar(Continent): ~14,025.47km

This would be the width of the Continental Roshar were it at the equator, but since the bulk of the continent is between 20°S and 60°S latitude, it should be smaller. I could include the additional width of Aimia into it and say the entire landmass has that width, but that'd be unprofessional.

Part Two: Latitude

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Circumference or Roshar(Planet): ~36,065.48km

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Circumference: 360°
Tukar(60°S) to Rall Elorim(0°): 60° Latitude, or 1/6th Circumference
Marat(62°S) to Marabethia(22°S): 40° Latitude, or 1/9th Circumference
Thaylenah(70°S) to Herdaz(10°S): 60° Latitude, or 1/6th Circumference
Southern Aimia(40°S) to Northern Aimia(20°): 20° Latitude, or 1/18th Circumference

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36,065.483etc.../6 = 6,010.91394
Tukar to Rall Elorim and/or Thaylenah to Herdaz: ~6,010.91km

36,065.483etc.../9 = 4,007.27596
Marat to Marabethia: ~4,007.28km

36,065.483etc../18 = 2,003.63798
Southern Aimia to Northern Aimia: ~2,003.64km

If I wanted to be really unprofessional, I could use the north/south distances and the longitude segment distances to make "blocks" for calculating total land area, but I know better than to do that. Actually... the NHC has a Lat/Long Distance Calculator. If I feed it Lat/Long points for Roshar, and multiply the results by .9, I could potentially make this work. Oh jeez, what's the formula for the area of a trapezoid?

Part 3: Land Area

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Eastern Coast of Roshar: 20°S, 80°E to 60°S, 80°E
Earth Equivalent Distance: 4445km.    4445 * .9 = 4000.5
East Coast: ~4,000km

Western Coast(Tukar to Shinovar): 20°S, 60°W to 60°S, 60°W
20 to 60 on the same line means same measurements.
Western Coast(Tukar to Shinovar): ~4,000km

Southern Coast: 60°S, 60°W to 60°S, 80°E
Earth Equivalent Distance: 6,228km.    6228 * .9 = 5605.2
Southern Coast: ~5600km

Northern Coast(Below Iri and Reshi Sea): 20°S, 60°W to 20°S, 80°E
Earth Equivalent Distance: 13,781km.    13781 * .9 = 12402.9
Northern Coast(sub Iri): ~12,400km

Area = (B1 + B2)/2 * H
(5600 + 12400)/2 * 4007(Marat to Marabethia) = 36,063,000
Roshar Land Area(Sub Iri): ~36,063,000sqkm

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Iri/Rira(South): 20°S, 60°W to 20°S, 20°W
Earth Equivalent: 4166km.    4166 * .9 = 3749.4
Iri/Rira(South): ~3,750km

Iri/Rira(East): 20°S, 20°W to 0°S, 20°W
Earth Equivalent: 2,222km.    2222 * .9 = 1999.8
Iri/Rira(East): ~2,000km

Iri/Rira(Northwest): 20°S, 60°W to 0°S, 30°W
Earth Equivalent: 3,948km.    3948 * .9 = 3553.2
Iri/Rira(Northwest): ~3,550km

Iri/Rira(North): 0°S, 30°W to 0°S, 20°W
Earth Equivalent: 1,111km.    1111 * .9 = 999.9
Iri/Rira(North): ~1,000km

Area = (B1 + B2)/2 * H
(3750 + 1000)/2 * 2000 = 4,750,000
Roshar Land Area(Iri/Rira): ~4,750,000sqkm

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Aimia(North/South): ~2,000km
Aimia(East/West): ~1,230km

Area = L * W
2000 * 1230 = 2,460,000
Land Area(Aimia): ~2,460,000sqkm

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36,063,000 + 4,750,000 + 2,460,000 = 43,273,000
Roshar Land Area: ~43,273,000sqkm

This number does not include the following landmasses:

• The Reshi Isles
• Thaylenah

And as such is inaccurate.

However, in the spirit of unprofessionalism and pedantic-ness, Thaylenah appears to be roughly the same size as the Tarat Sea, and the Reshi Isles could be condensed into the gaps between Iri/Rira, the land above Marabethia & below 20°S, and turning Aimia an actual square

As such, the "total" land area should be roughly as stated above, at 43,273,000 square kilometers.

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Disclaimer: I'm not actually an expert on this subject, and I used a bootstrap method to calculate distances via GPS coordinates. If my math is incorrect at any point, feel free to point it out

[Wreith]

There are several threads on this already.

There's another one somewhere that did an analysis from one of the newer maps we have and (I think) determined it was about 1/3 the size of the planet as a whole. I'm looking for it.

[SilverTiger]

Some people have made a virtual globe of Roshar (planet), and Peter said it was pretty close, so you could try searching that. Although, I don't think that it was 1/3 the size of the planet. It managed to stay almost entirely in the southern hemisphere.

Edited November 1, 2017 by SilverTiger

[Wreith]

14 minutes ago, SilverTiger said:

Some people have made a virtual globe of Roshar (planet), and Peter said it was pretty close, so you could try searching that. Although, I don't think that it was 1/3 the size of the planet. It managed to stay almost entirely in the southern hemisphere.

I found the virtual globe one, but it didn't actually talk about the size, just the images so I ignored it.

I'm not sure where I got the 1/3 from. I'm not finding it. It was in one of the Oathbringer analyses I think, so I couldn't link it here even if I found it.