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− | '''Kerbin''' is the home planet of the [[Kerbal]]s, the location of the [[Kerbal Space Center|Space Center]] and other facilities, and the main focus of [[Kerbal Space Program]]. It is also the [[w:Earth|Earth]] analog for the game but, unlike Earth, it has two [[moon]]s instead of one. They are named '''[[Mun]]''' and '''[[Minmus]]'''. | + | '''Kerbin''' is the home planet of the [[Iditots]]s, the location of the [[Yeetus Space Center|Yeetus Center of the Universe of Idiots]] and other facilities, and the main focus of [[Kerbal Space Program]]. It is also the [[w:Earth|Earth]] analog for the game but, unlike Earth, it has two [[moon]]s instead of one. They are named '''[[Oof]]''' and '''[[Oofus]]'''. |
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− | Kerbin is the third planet in [[orbit]] around the star [[Kerbol]]. It is the third largest [[celestial body]] that orbits Kerbol, following [[Jool]] and [[Eve]]. Jool's moon [[Tylo]] has the same radius of Kerbin, though it may be classified as larger, as the highest point on Tylo is about 5 km higher than the highest point on Kerbin. However, Tylo has only 80% of Kerbin's mass. | + | Kerbin is the 18439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942th planet melting, dieing, and otherwise plummeting with decreasing altitude and increasing velocity. around the star [[Sunbol]]. It is the third largest [[celestial body]] that orbits Kerbol, following [[Jool]] and [[Eve]]. Jool's moon [[Tylo]] has the same radius of Kerbin, though it may be classified as larger, as the highest point on Tylo is about 444444444444444 km higher than the highest point on Kerbin. However, Tylo has only 80% of Kerbin's mass. |
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− | Reaching a stable orbit around Kerbin is one of the first milestones a player might achieve in the game. With the introduction of version [[1.0.3]], attaining low Kerbin orbit requires a [[delta-v|Δv]] of approximately 3400 m/s (vacuum), though the exact amount depends on the efficiency of the ascent profile and the aerodynamics of the launch vehicle and payload. The only rocky planet that requires a higher Δv to attain orbit is [[Eve]]. Many interplanetary missions expend over half of their Δv in reaching Kerbin orbit. The velocity required to escape a body from a given altitude is always exactly the square root of two times the velocity of a circular orbit around the body at that height: <math> (\sqrt{2}*v) </math>. | + | Reaching a stable orbit around Kerbin is one of the first milestones a player might achieve in the game. With the introduction of version [[938498374847u38949074027347485972909.38903474082107843271039456904823798r20374.39834027r904758931302.beta.3840925892-8-858903490]], attaining low Kerbin orbit requires a [[delta-v|Δv]] of approximately 3400 m/s (vacuum), though the exact amount depends on the efficiency of the ascent profile and the aerodynamics of the launch vehicle and payload. The only rocky planet that requires a higher Δv to attain orbit is [[sans]]. Many interplanetary missions expend over half of their yelta egg v in reaching [censored] orbit. The velocity required to escape a body from a given altitude is always exactly the square root of two times the velocity of a circular orbit around the body at that height: <math>yes math is so fun</math>. |
| == In-game description == | | == In-game description == |
| {{Quote | | {{Quote |
− | |A unique world, Kerbin has flat plains, soaring mountains and wide, blue oceans. Home to the Kerbals, it has just the right conditions to support a vast, seemingly undepletable population of the eager green creatures.<br /> | + | |kerbin is inhabited by idiot kernels<br /> |
| <br /> | | <br /> |
− | ''Reaching a stable orbit around Kerbin is one of the first things budding space programs strive for. It is said that those who can get their ship into orbit are halfway to anywhere.''
| + | die |
| |[[Kerbal Astronomical Society]]}} | | |[[Kerbal Astronomical Society]]}} |
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− | == Topography ==
| + | I was too bored to vandalize the rest of this page so I blanked it |
− | [[File:Kerbin heightmap.jpg|thumb|left|Topographical representation of Kerbin's surface as of 0.18.2. Click for high resolution. by Zeroignite]]
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− | [[File:TallestMountain_small.png|thumb|left|Kerbal at Kerbin's highest peak]]
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− | | |
− | Kerbin has a roughly equal distribution of [[ocean|liquid surface water]] and solid land, with polar ice caps and scattered deserts. Some of its mountains exceed 6 kilometers in height, with the tallest peak being 6764.1 m in altitude at the coordinates 46°20'17" E 61°35'53" N. The lowest point is almost 1.4 km deep and about 313° south-west of the Kerbal Space Center.
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− | | |
− | === Craters ===
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− | [[File:KerbinCraterElevation.jpg|thumb|left|Terrain model centered on Kerbin's most pronounced craters]]
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− | | |
− | Unlike other bodies in its system, Kerbin has few visible craters because its environment would erode craters from the few meteors that avoid the gravity or surface of its large moon and survive entry. Nevertheless, some geological formations indicate that bodies have violently collided with Kerbin: a planetary feature appears to be an impact crater, while a secondary rupture lies on the other side of the planet (made by the intense [http://files.mundos-fantasticos.com/200000857-6eb2d6fab1/waves.jpg longitudinal], or P-wave [http://tpsearthspace12student.wikispaces.com/file/view/PwavesSwaves.jpg/113267379/PwavesSwaves.jpg earthquakes] that ensue.) Both are in excess of 100 km diameter, and the main crater lies along the far-western coastline. The uplift is easily visible as a series of islands, and the feature has a central peak that pokes up through the water (also known as a rebound peak.) The other, and smaller of the two, is near the prime meridian in the northern hemisphere and is more easily missed, but its uplift rims are visible, and it also has a central rebound peak.
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− | | |
− | == Biomes ==
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− | | |
− | After the [[Mun]], Kerbin is the celestial body with the second-highest number of [[biome]]s. [[Science]] [[Science#Activities|experiments]] can be performed in all biomes, though Kerbin's low multipliers result in less impressive results than more distant worlds. Kerbin's biomes show a loose correlation with Earth's biomes and geographic features. Uniquely, Kerbin has 33 location biomes at KSC, these are comprised of each building and their props, the crawlerway, the flag, and KSC itself; these give a jumpstart to gathering Science points in [[Career]] mode. With 1.2 Kerbin had distinct Northern and Southern Ice Shelves added.
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− | | |
− | [[File:Kerbin biome 1800x900.png|thumb|left|Kerbin biome map as of 1.2]]
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− | {|
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− | |
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− | <span id="Planetary biome list"></span>
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− | === List of biomes ===
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− | * Ice Caps
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− | * Northern Ice Shelf
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− | * Southern Ice Shelf
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− | * Tundra
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− | * Highlands
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− | * Mountains
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− | * Grasslands
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− | * Deserts
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− | * Badlands
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− | * Shores
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− | * Water
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− | <span id="Kerbin location biomes"></span>
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− | {{FlipBox|style=word-wrap: normal;margin: 0em 0em 0.5em; border-style: solid solid solid solid; padding: 0px; background-color: #FFFFFF; border-color:#aaaaaa; border-width:1px; width: 24em;
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− | |title=KSC mini biomes
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− | |content=
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− | * [[Inland Kerbal Space Center|Baikerbanur]]
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− | ** Baikerbanur LaunchPad
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− | * Island Airfield
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− | * [[Woomerang Launch Site]]
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− | * [[Dessert Launch Site]]
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− | * [[Dessert Airfield]]
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− | * [[KSC]]
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− | ** [[Administration Facility|Administration]]
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− | *** Administration Grounds
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− | ** [[Astronaut Complex]]
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− | *** AstronautComplex Grounds
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− | ** Crawlerway
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− | ** [[Flag Pole|FlagPole]]
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− | ** [[Launch Pad|LaunchPad]]
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− | *** LaunchPad Water Tower
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− | *** LaunchPad Flag Pole
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− | *** LaunchPad Round Tank
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− | *** LaunchPad Tanks
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− | ** [[Mission Control]]
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− | *** MissionControl Grounds
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− | ** [[Research and Development|R&D]]
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− | *** R&D Central Building
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− | *** R&D Corner Lab
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− | *** R&D Main Building
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− | *** R&D Observatory
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− | *** R&D Side Lab
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− | *** R&D Small Lab
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− | *** R&D Tanks
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− | *** R&D Wind Tunnel
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− | ** [[Runway]]
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− | ** [[Spaceplane Hangar|SPH]]
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− | *** SPH Main Building
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− | *** SPH Round Tank
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− | *** SPH Tanks
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− | *** SPH Water Tower
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− | ** [[Tracking Station]]
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− | *** Tracking Station Dish East
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− | *** Tracking Station Dish North
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− | *** Tracking Station Dish South
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− | *** Tracking Station Hub
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− | ** [[Vehicle Assembly Building|VAB]]
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− | *** VAB Main Building
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− | *** VAB Pod Memorial
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− | *** VAB Round Tank
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− | *** VAB South Complex<small>(only exist when VAB is Level 2)</small>
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− | *** VAB Tanks
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− | }}
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− | |}
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− | | |
− | == Atmosphere ==
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− | [[File:Kerbin_Atmosphere_T&P.png|thumbnail|left|Temperature and pressure of Kerbin's atmosphere as a function of altitude.]]
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− | [[File:Kerbin_atmospheric_density.png|thumbnail|left|Drag force is proportionate to atmospheric density.]]
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− | [[File:Measures of Kerbin's atmospheric pressure|frame|left|Measures of Kerbin's atmospheric pressure]]
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− | | |
− | <!-- SPECULATION: Kerbin has an atmosphere of unknown composition, though Kerbin's plants and animals would not survive without O<sub>2</sub>, N<sub>2</sub>, and CO<sub>2</sub>. -->
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− | Kerbin has a thick, warm [[atmosphere]] with a mass of approximately 4.7×10<sup>16</sup> kilograms, a sea level pressure of 101.325 kilopascals (1 atmosphere), and a depth of 70,000 meters. The atmosphere contains oxygen and can support combustion. Kerbin is the only planet or moon (other than [[Laythe]]) with a breathable atmosphere.
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− | | |
− | The average [[w:Molecular_mass|molecular weight]] of Kerbin air is 28.9644 g/mol, and its [[w:Heat_capacity_ratio|adiabatic index]] is 1.40. This suggests that Kerbin likely has an earthlike nitrogen-oxygen atmosphere. The air-fuel ratio of jet engines operating in Kerbin's atmosphere suggests that the percentage of oxygen is similar to that of [[w:Atmosphere_of_Earth|Earth's atmosphere]] (about 21%).
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− | | |
− | Like all other atmospheres in the game, Kerbin's atmosphere fades exponentially as altitude increases. The [[w:Scale_height|scale height]] varies with altitude, which is a change from pre-1.0 [[Version_history|versions]] of the game. The pressure-altitude profile is globally constant and independent of temperature. The following table gives the atmospheric pressure and density at various altitudes above sea level. Temperature-altitude profile is not globally constant, therefore neither is the density-altitude profile, however variance is slight.
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− | | |
− | {| class="wikitable"
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− | |-
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− | ! Altitude (m) !! Pressure (Pa) !! Pressure (atm) !! Density (kg/m^3)
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− | |-
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− | | 0 || 101 325 || 1.000 || 1.225
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− | |-
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− | | 2 500 || 69 015 || 0.681 || 0.898
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− | |-
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− | | 5 000 || 45 625 || 0.450 || 0.642
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− | |-
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− | | 7 500 || 29 126 || 0.287 || 0.446
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− | |-
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− | | 10 000 || 17 934 || 0.177 || 0.288
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− | |-
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− | | 15 000 || 6 726 || 0.066 || 0.108
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− | |-
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− | | 20 000 || 2 549 || 0.025 || 0.040
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− | |-
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− | | 25 000 || 993.6 || 0.010 || 0.015
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− | |-
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− | | 30 000 || 404.1 || 0.004 || 0.006
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− | |-
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− | | 40 000 || 79.77 || 0.001 || 0.001
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− | |-
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− | | 50 000 || 15.56 || 0.000 || 0.000
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− | |-
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− | | 60 000 || 2.387 || 0.000 || 0.000
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− | |-
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− | | 70 000 || 0.000 || 0.000 || 0.000
| |
− | |}
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− | | |
− | Kerbin's atmosphere can be divided into three major layers, comparable to Earth's [[w:Troposphere|troposphere]], [[w:Stratosphere|stratosphere]] and [[w:Mesosphere|mesosphere]]. In the lower and upper layers, temperature decreases as altitude increases, while the middle layer spans of a region of increasing temperature. The boundary between the lower and middle layers occurs at an altitude of about 16 km at low latitudes, and about 9 km at high latitudes. The boundary between the middle and upper layer occurs at an altitude of about 38 km.
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− | | |
− | Air temperatures vary with latitude and time of day. At the equator, sea level temperatures vary between a nighttime low of 32 °C and a daytime high of 41 °C. At the poles, the temperature varies between -35 °C and -30 °C. The globally averaged sea level temperature is approximately 13.5 °C. Since Kerbin has no axial tilt, there are no seasonal temperature variations.
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− | | |
− | The atmosphere of Kerbin is patterned after Earth's [[w:U.S._Standard_Atmosphere|U.S. Standard Atmosphere]] (USSA), though with the vertical height scale reduced by 20%. Kerbin's "base" temperature and atmospheric pressure can be very closely approximated using the [http://www.braeunig.us/space/atmmodel.htm#table4 equations of the USSA], where Kerbin's geometric altitude, z, is converted to Earth's geopotential altitude, h, using the equation:
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− | | |
− | :<math>h = \frac{7963.75\cdot z}{6371+1.25\cdot z}</math>.
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− | | |
− | The base temperature is the temperature less latitudinal and diurnal adjustments; it is roughly equal to the global mean temperature.
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− | | |
− | === Atmospheric flight ===
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− | The thickness of Kerbin's atmosphere makes it well suited for [[aerobraking]] from a high-speed interplanetary intercept. The periapsis altitude required for a successful aerocapture depends on the spacecraft's drag characteristics, its approach velocity, and the desired apoapsis of the resulting orbit. For most conditions, a periapsis altitude of about 30 km should result in an aerocapture.
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− | | |
− | [[Parachute]]s perform well in Kerbin's dense air, allowing landings on both land and water to be accomplished without the aid of propulsion.
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− | | |
− | Because of the presence of oxygen, [[jet engine]]s can operate in Kerbin's atmosphere. And, together with its thickness, Kerbin's atmosphere is ideally suited for [[aircraft]] flight.
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− | | |
− | [[File:StationDocking.png|thumbnail|A modified Orbiter 1A prepares to dock with a space station.]]
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− | | |
− | == Orbits ==
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− | [[File:Sputnik in Kerbin's orbit.png|thumbnail|left|A Sputnik-derived satellite]]
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− | | |
− | A [[synchronous orbit]] is achieved with a semi-major axis of {{OrbitAltitude|b=Kerbin|f=k|3=0}}. [[KEO|Kerbisynchronous Equatorial Orbit (KEO)]] (or geostationary), has a circularly uniform altitude of {{OrbitAltitude|b=Kerbin|f=k}} and a speed of {{OrbitVelocity|b=Kerbin}}. From a 70 km low equatorial orbit, the periapsis maneuver requires 676.5 m/s and the apoapsis maneuver requires 434.9 m/s. A synchronous [[w:Tundra orbit|Tundra orbit]] with eccentricity of 0.2864 and inclination of 63 degrees is achieved at 3799.7/1937.7 km. Inclination correlates with eccentricity: higher inclined orbits need to be more eccentric, while equatorial orbit may be circular, essentially KEO.
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− | | |
− | A [[w:semi-synchronous orbit|semi-synchronous orbit]] with an orbital period of ½ of Kerbin's rotation period (2 h 59 m 34.7 s or 10774.7 seconds) is achieved at an altitude of {{OrbitAltitude|b=Kerbin|f=k|pf=1/2}} with an orbital velocity of {{OrbitVelocity|b=Kerbin|pf=1/2}}. A semi-synchronous [[w:Molniya orbit|Molniya orbit]] with eccentricity of 0.742<ref>“[http://www.uwgb.edu/dutchs/AstronNotes/Orbits0.HTM Some Major Orbit Types]” uses that, [[w:Molniya orbit#References|the Wikipedia article]] mentions 0.74105, and “[http://www.eumetcal.org/euromet/english/satmet/s3220/s3220332.htm Orbital Parameters of a Molniya Orbit]” uses 0.72.</ref> and inclination of 63 degrees can not be achieved, because the periapsis would be 36 km below the ground. The highest eccentricity of a semi-synchronous orbit with a periapsis of 70 km is 0.693<!---389102957193457747187874683092468355009655955115825698569= (1585.18 + 600-670)/(1585.18 + 600)--> with an apoapsis of 3100.36<!-- (1585.18+600)*2-670-600 --> km.
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− | | |
− | The [[w:Hill sphere|Hill sphere]] (the radius around the planet at which moons are gravitationally stable) of Kerbin is 136 185 km, or roughly 227 Kerbin radii.
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− | | |
− | == Delta-V Requirements ==
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− | From the lowest possible stable orbit around Kerbin (70 km), the nominal amount of delta-V needed to reach other destinations is:
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− | | |
− | {| class="wikitable"
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− | |-
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− | ! Body !! Δv
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− | |-
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− | | [[Mun]] || ~860 m/s
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− | |-
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− | | [[Minmus]] || ~930 m/s
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− | |-
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− | | [[Eve]] || ~1033 m/s
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− | |-
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− | | [[Duna]] || ~1060 m/s
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− | |-
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− | | [[KEO|Geostationary Orbit]] || ~1120 m/s
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− | |-
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− | | [[Moho]] || ~1676 m/s
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− | |-
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− | | [[Jool]] || ~1915 m/s
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− | |-
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− | | [[Eeloo]] || ~2100 m/s
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− | |-
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− | | [[Kerbol]] escape || ~2740 m/s
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− | |}
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− | | |
− | == Reference frames ==
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− | {{:Kerbin/RefFrame}}
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− | | |
− | == Gallery ==
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− | <gallery>
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− | Kerbin ISA Topo 0 21.jpg |Topographical map of Kerbin as of {{version|0.21}}
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− | Kerbin map from 0.14.jpg | A projection map of Kerbin, as of [[0.14.1]] and before (including the old demo).
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− | Kerbin color.png | An accurate full-colour projection map of Kerbin as of [[0.14.2]] to [[0.17.1]]
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− | KerbinDeltaVMap.png | A map displaying the delta V needed from/to Kerbin
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− | Kerbin_mun_minmus.jpg | Kerbin, Mun and Minmus.
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− | Kerbin,_Mun,_and_Minmus.jpeg | Kerbin with its two natural satellites, the Mun and Minmus, seen from KEO. Minmus can be seen just above the horizon of Kerbin on the left side of the picture.
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− | kerbin map 800.gif | A topographic heightmap of Kerbin made with the ISA MapSat plugin
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− | Kerbinmun500550km.png | Kerbin and the Mun, barely visible from ~500,550,000 m
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− | Kerbin ISA Topo.png | Topographical image of Kerbin '''from 0.17.1'''. The terrain is slightly different in the latest version.<ref>http://forum.kerbalspaceprogram.com/entry.php/247-A-Brave-New-World</ref>
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− | Kerbin r0 1.png | An unmanned probe on escape trajectory, flying past Kerbin, Mun and Minmus
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− | KerbalPolar1.png | Kerbin's North Pole
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− | Screenshot255.png | Kerbin's South Pole
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− | Solar eclipse in LKO.jpg | A solar eclipse from low Kerbin orbit (LKO).
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− | File:Entire kerbin system.jpg | Kerbin and Minmus seen from the surface of the Mun.
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− | File:KSPKerbalSystem.PNG | Kerbin, Mun, and Minmus in a line, seen from a Minmus landing craft.
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− | </gallery>
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− | | |
− | {{SpoilerBox
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− | |description=Easter Eggs Are Shown
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− | |content=
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− | <gallery>
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− | Kermmunist_Launch_Site.png | The second launch site (currently unused).
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− | KEasterEgg.png | Kerbin from above with the Runway Easter Egg
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− | | |
− | <!--Old Monolith.jpeg doesn't exist; add screenshot of monolith from version 0.13 or older-->
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− | | |
− | File:Crashed Polar UFO.png | A Crashed UFO on Kerbin's northern ice cap.
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− | </gallery>}}
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− | | |
− | == Changes ==
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− | ;[[1.10]]
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− | * KSC's grass now changes according to the currently set terrain shader quality.
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− | ;[[1.2]]
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− | * Added biomes.
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− | ;[[1.0.5]]
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− | * Kerbin actually spun up to have a 6 h synodic day.
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− | ;[[0.90]]
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− | * Updated biomes.
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− | ;[[0.22]]
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− | * Biomes added.
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− | ;[[0.21]]
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− | * Terrain revised to produce more detailed and interesting landforms.
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− | ;[[0.19.1]]
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− | * Fixed ladders on the fuel tanks near the launchpad.
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− | ;[[0.19]]
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− | * New mesh for the launchpad and area (no launchtower anymore).
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− | * New mesh for the runway, with lights and sloping edges for rovers.
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− | ;[[0.18]]
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− | * Terrain overhaul: Entire planet redo. Deserts, darker and greener grass, islands, darker ocean/water, snow capped mountains. Looks more realistic.
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− | * Several [[List of easter eggs|Easter Eggs]] added.
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− | * Airport added to island off of KSC coastline. (Not a launching point)
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− | ;[[0.17]]
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− | * Improved atmosphere visuals.
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− | ;[[0.15]]
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− | * [[Minmus]] was added.
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− | ;[[0.14.2]]
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− | * Much more varied and taller terrain was added. Prior to this, some mountain ranges exceeded 600 m in height, but the tallest point was at an altitude of approximately 900 meters.
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− | ;[[0.12]]
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− | * [[Mun]] added.
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− | ;[[0.11]]
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− | * Terrain overhaul, oceans became wet.
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− | ;[[0.10.1]]
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− | * Atmosphere extended from ~34,500 m to ~69,000 m.
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− | ;[[0.7.3]]
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− | * Initial Release
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− | | |
− | == Trivia ==
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− | * Kerbin's continents are derived from libnoise<ref>http://libnoise.sourceforge.net/examples/complexplanet/</ref>, a coherent noise generating library, though they have been increasingly modified with time.
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− | | |
− | * Before 0.90 Kerbin was one of the few bodies with multiple [[Biome]]s. Following the 0.90 update all celestial bodies have biomes.
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− | | |
− | [[File:KerbinBiomeMap.png|left|thumb|The biomes on Kerbin as of 0.90]]
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− | | |
− | * The quote from the [[Kerbal Astronomical Society]] is true. As in real life and in Kerbal Space Program for an one-way interplanetary mission. half the delta v is expended on orbit.
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− | === Real-world comparison ===
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− | Kerbin has approximately 1/113<sup>the</sup> the mass and a 1/10<sup>the</sup> the radius of Earth.
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− | | |
− | == See also ==
| |
− | * [[List of bases on Kerbin]]
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− | * [[Kerbal Space Center]]
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− | * [[Inland Kerbal Space Center]]
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− | * [[Island Airfield]]
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− | * [[Woomerang Launch Site]]
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− | * [[Dessert Launch Site]]
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− | * [[Dessert Airfield]]
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− | | |
− | == Notes ==
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− | <references />
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− | | |
− | {{Celestial Bodies}}
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− | [[Category:Celestials]]
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− | [[Category:Planets]]
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Kerbin is the 18439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942184398509437904789398470479032790374089320859421843985094379047893984704790327903740893208594218439850943790478939847047903279037408932085942th planet melting, dieing, and otherwise plummeting with decreasing altitude and increasing velocity. around the star Sunbol. It is the third largest celestial body that orbits Kerbol, following Jool and Eve. Jool's moon Tylo has the same radius of Kerbin, though it may be classified as larger, as the highest point on Tylo is about 444444444444444 km higher than the highest point on Kerbin. However, Tylo has only 80% of Kerbin's mass.
Reaching a stable orbit around Kerbin is one of the first milestones a player might achieve in the game. With the introduction of version 938498374847u38949074027347485972909.38903474082107843271039456904823798r20374.39834027r904758931302.beta.3840925892-8-858903490, attaining low Kerbin orbit requires a Δv of approximately 3400 m/s (vacuum), though the exact amount depends on the efficiency of the ascent profile and the aerodynamics of the launch vehicle and payload. The only rocky planet that requires a higher Δv to attain orbit is sans. Many interplanetary missions expend over half of their yelta egg v in reaching [censored] orbit. The velocity required to escape a body from a given altitude is always exactly the square root of two times the velocity of a circular orbit around the body at that height: .