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Showing most liked content on 11/11/20 in Blog Entries

  1. 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 Surface gravity on Roshar is 0.7 g (source: Arcanum Unbounded) Roshar's radius is 5663 km (source: JordanCon 2018) 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. One Rosharan solar day is 20 Rosharan hours. The moons have an orbital period of one solar day. Assumptions The "standard cosmere" gravity is 1 g = 9.81 m/s2 (surface gravity on Earth) The "standard cosmere" size refers to planetary radius (and circumference) and is R = 6371 km (Earth's radius) The gravitational constant, G, remains unchanged Units Units are "real" units unless defined below. 1 Rdeg (Rosharan degrees) = π/100 radians (200 Rdeg in a circle) 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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  2. Roshar has 50 minutes/hour, 20 hours/day, 5 days/week, 10 weeks/month (50-day months), 10 months/year (500-day years). Brandon and Peter have said that a Rosharan year is 1.10 Earth years and that a Rosharan hour is shorter than an Earth hour. (This suggests we should assume the 1.10 number is precise.) The definition of a year is somewhat ambiguous. The Rosharan year above clearly refers to a solar year, so we will assume that the 1.10 number compares solar years. An Earth solar year is 365.24219 SI days of exactly 24 SI hours. So for Earth we'll use 60 minutes/hour, 24 hours/day, 7 days/week, 30 days/month, and 365.24219 days/year. --- Using R to represent Roshar and E to represent Earth: 1 R minute = 1.16 E minutes = 69.4 E seconds 1 R hour = 0.964 E hours = 57.9 E minutes 1 R day = 0.804 E days = 19.3 E hours 1 R week = 0.574 E weeks = 4.02 E days 1 R month = 1.34 E months = 40.2 E days 1 R year = 1.10 E years = 13.4 E months = 402 E days --- A 10 year-old Rosharan is 11 in Earth years. A 20 year-old Rosharan is 22 in Earth years. A 80 year-old Rosharan is 88 in Earth years.
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