Roshar Physical Characteristics and Areas
Entry posted by 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
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Surface gravity on Roshar is 0.7 g (source: Arcanum Unbounded)
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Roshar's radius is 5663 km (source: JordanCon 2018)
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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.
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One Rosharan solar day is 20 Rosharan hours. The moons have an orbital period of one solar day.
Assumptions
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The "standard cosmere" gravity is 1 g = 9.81 m/s2 (surface gravity on Earth)
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The "standard cosmere" size refers to planetary radius (and circumference) and is R = 6371 km (Earth's radius)
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The gravitational constant, G, remains unchanged
Units
Units are "real" units unless defined below.
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1 Rdeg (Rosharan degrees) = π/100 radians (200 Rdeg in a circle)
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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:
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 Keved | 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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