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Roshar Physical Characteristics and Areas

Jofwu

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Some calculations I did a while back. Was planning to do more with the moons, but I just haven't had time and figured it was worth going ahead and posting this here as is.

Given

  1. Surface gravity on Roshar is 0.7 g (source: Arcanum Unbounded)

  2. Roshar's radius is 5663 km (source: JordanCon 2018)

  3. This map of Roshar (minor WoR spioler) gives both latitude and longitude lines. The planet can be broken into 200 "squares" horizontally and 100 "squares" vertically. (source: Peter on Reddit) This map of Roshar (an azumithal equidistant projection) helps to place the equator as the latitude line passing through the southern tip of Kadrix island.

  4. One Rosharan solar day is 20 Rosharan hours. The moons have an orbital period of one solar day.

Assumptions

  1. The "standard cosmere" gravity is 1 g = 9.81 m/s2 (surface gravity on Earth)

  2. The "standard cosmere" size refers to planetary radius (and circumference) and is R = 6371 km (Earth's radius)

  3. The gravitational constant, G, remains unchanged

Units

Units are "real" units unless defined below.

  1. 1 Rdeg (Rosharan degrees) = π/100 radians (200 Rdeg in a circle)

  2. 1 Rhour (Rosharan hour) = 3473 seconds (calculation)

Calculations

Size of Roshar (planet)

Radius = 5663 km (88.8% of Earth  radius. This is roughly in line with Khriss's estimate that Roshar's radius is 0.9 R in Arcanum Unbounded.) 

Diameter = 11 330 km (88.8% of Earth diameter)

Circumference = 35 580 km (88.8% of Earth circumference)

Surface Area = 4 * π * (radius)2 = 4.030 × 108 square km (79% of Earth surface area)

Volume = 4 / 3 * π * (radius)3 = 7.608 × 1011 cubic km (70% of Earth volume)

Mass Calculations

Surface Gravity = 0.7 * g = 6.86 m/s2 (70% of Earth surface gravity)

Mass = (surface gravity) * (radius)2 / G = 3.296×1024 kg (55% of Earth mass)

Density = mass / volume = 4.333 g/cm3 (79% of Earth density)

Characteristics of Roshar (continent)

Northernmost point: northern tip of Iri @ 2 Rdeg N = 3.6 deg N

Including islands: northern tip of Kadrix island @ 3 Rdeg N = 5.4 deg N

Southernmost point: southern tip of Frostlands @ 30 Rdeg S = 54 deg S

Including islands: southern tip of Thaylenah @ 32 Rdeg S = 57.6 deg S

Easternmost point: New Natanan (and Frostlands coast) @ 37 Rdeg E = 66.6 deg E

Westernmost point: eastern tip of Steen @ 29 Rdeg W = 52.2 deg W

Including islands: eastern tip of Aimia @ 38 Rdeg W = 68.4 deg W

Furthest distance: west coast of Shinovar to tip of unclaimed NE peninsula = 10 610 km (calculation)

Size Comparrisons

By u/Shagomir on Reddit, based on this Mollewide (equal-area) map:

8Z10QRk.png

Each pixel on the map is approximately 78.25 km2

Major regions:

Region Area Comparison Area
Roshar (Total) 414,030,000 km2 Earth 510,060,000 km2
Roshar Oceans 373,780,000 km2 Earth Oceans 361,900,000 km2
Roshar (Continent) 40,250,000 km2 Asia 43,820,000 km2
Aimia 984,000 km2 New Guinea 786,000 km2
Thaylenah 414,000 km2 Sumatra 443,000 km2
Purelake 1,160,000 km2 Caspian Sea 371,000 km2
Sea of Spears 129,000 km2 Lake Superior 82,100 km2

Size of countries:

Region Area
Unclaimed 8,649,000 km2
Alethkar 7,134,000 km2
Jah Kved 5,553,000 km2
Iri 2,473,000 km2
Tu Bayla 2,040,000 km2
Reshi Isles 1,582,000 km2
Shinovar 1,407,000 km2
Azir 1,343,000 km2
Herdaz 1,155,000 km2
Babatharnam 1,107,000 km2
Rira 1,056,000 km2
Aimia 984,000 km2
Tukar 702,000 km2
Emul 596,000 km2
Marat 524,000 km2
Greater Hexi 454,000 km2
Thaylenah 414,000 km2
Yezier 396,000 km2
Marabethia 394,000 km2
Yulay 393,000 km2
Tashikk 364,000 km2
Triax 336,000 km2
Liafor 319,000 km2
Desh 230,000 km2
Steen 156,000 km2
Alm 144,000 km2
Bavland 141,000 km2
Tu Fallia 127,000 km2
Shattered Plains     80,000 km2

List of comparable countries on Earth:

Country Area
Russia 16,377,742 km2
United States 9,147,593 km2
Australia 7,633,565 km2
India 2,973,190 km2
Argentina 2,736,690 km2
Mexico 1,943,945 km2
Iran 1,531,595 km2
South Africa 1,214,470 km2
Egypt 995,450 km2
Turkey 769,632 km2
Spain 498,980 km2
Sweden 410,335 km2
Germany 348,672 km2
United Kingdom 241,930 km2
Syria 183,630 km2
Iceland 100,250 km2
Czech Republic     77,247 km2

Moons

Orbital period: T = 20 Rhours = 69 480 seconds (precession makes this weird)


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2 Comments


4 hours ago, Pagerunner said:

I can't follow the image links in your Given #3 bulletpoint.

Thanks. Fixed those and made another edit I was too lazy to go through before.

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