Universesandbox erika (talk | contribs) (Intro and Properties & Settings text) |
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| − | When two objects [[Collision|collide]], some of the [[Kinetic Energy|kinetic energy]] of the collision will heat the objects, increasing their [[Effective Temperature|temperatures]]. Universe Sandbox simulates this collisional heating by calculating the expected temperature change based on the parameters of the collision and adjusting the |
+ | When two objects [[Collision|collide]], some of the [[Kinetic Energy|kinetic energy]] of the collision will heat the objects, increasing their [[Effective Temperature|temperatures]]. Universe Sandbox simulates this collisional heating by calculating the expected temperature change based on the parameters of the collision and adjusting the surface temperature properties of each object. |
==Related Properties & Settings== |
==Related Properties & Settings== |
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===Properties=== |
===Properties=== |
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| − | * The [[ |
+ | * The [[Average Surface Temperature]], [[Minimum Temperature]], and [[Maximum Temperature]] properties of a [[Planetary Body]] object are located in the [[Surface Tab|Surface]] tab of the object's properties panel. |
| + | * The [[Surface Temperature]] and [[Effective Temperature]] properties of [[Star|Stars]], [[Black Hole|Black Holes]], and [[Human-Scale Object|Human-Scale Objects]] are located in the object's [[Temperature Tab|Temperature]] tab. |
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===Settings=== |
===Settings=== |
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* Collision heating can be toggled on and off using the [[Sim Settings Menu#Collision Heating|Collision Heating]] toggle in the [[Sim Settings Menu]]. |
* Collision heating can be toggled on and off using the [[Sim Settings Menu#Collision Heating|Collision Heating]] toggle in the [[Sim Settings Menu]]. |
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==Models== |
==Models== |
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| − | Models |
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| + | During a simulated collision, a portion of the [[mass]] of the smaller object is [[Collision#Mass Transfer|transferred]] to the larger object. Universe Sandbox assumes that a small fraction of the kinetic energy of the transferred mass in a collision, ''E''<sub>trans</sub>, is used to heat the colliding bodies: |
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| − | ==Limitations== |
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| + | :<math>E_{coll} = 0.0025 E_{trans}.</math> |
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| − | Limitations |
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| + | The change in a colliding object's temperature, Δ''T'', is calculated from this incoming energy, ''E''<sub>coll</sub>, which increases the temperature based on the [https://en.wikipedia.org/wiki/Specific_heat_capacity specific heat capacity] of rock, ''c'' and the mass of the smaller object in the collision, ''M''<sub>2</sub>. Some of the heat from the collision is lost as the energy is radiated into space from the melted crater. The amount of lost heat depends on the object's mass, ''M'', and [[Surface Temperature|surface temperature]], ''T''<sub>surf</sub>, the crater diameter, ''D''<sub>crater</sub>, the [https://en.wikipedia.org/wiki/Stefan%E2%80%93Boltzmann_constant Stefan-Boltzmann constant], the specific gas constant, ''R''<sub>gas</sub>, and the current simulation [[N-Body_Simulation#Time_Step|time step]], Δ''t''. The full equation used to calculate the temperature changed based on the incoming and outgoing heat energy is |
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| + | :<math>\Delta T = \frac{E_{coll}}{2cM_2 + 1} - \frac{4}{3}\pi \left(\frac{D_{crater}}{2}\right)^3 \frac{\sigma T_{surf}^3}{M R_{gas} + 1} \Delta t.</math> |
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| − | ==References== |
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| − | <references/> |
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[[Category:Collisions]] |
[[Category:Collisions]] |
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Revision as of 19:35, 30 October 2020
When two objects collide, some of the kinetic energy of the collision will heat the objects, increasing their temperatures. Universe Sandbox simulates this collisional heating by calculating the expected temperature change based on the parameters of the collision and adjusting the surface temperature properties of each object.
Related Properties & Settings
Properties
- The Average Surface Temperature, Minimum Temperature, and Maximum Temperature properties of a Planetary Body object are located in the Surface tab of the object's properties panel.
- The Surface Temperature and Effective Temperature properties of Stars, Black Holes, and Human-Scale Objects are located in the object's Temperature tab.
Settings
- Collision heating can be toggled on and off using the Collision Heating toggle in the Sim Settings Menu.
Models
During a simulated collision, a portion of the mass of the smaller object is transferred to the larger object. Universe Sandbox assumes that a small fraction of the kinetic energy of the transferred mass in a collision, Etrans, is used to heat the colliding bodies:
The change in a colliding object's temperature, ΔT, is calculated from this incoming energy, Ecoll, which increases the temperature based on the specific heat capacity of rock, c and the mass of the smaller object in the collision, M2. Some of the heat from the collision is lost as the energy is radiated into space from the melted crater. The amount of lost heat depends on the object's mass, M, and surface temperature, Tsurf, the crater diameter, Dcrater, the Stefan-Boltzmann constant, the specific gas constant, Rgas, and the current simulation time step, Δt. The full equation used to calculate the temperature changed based on the incoming and outgoing heat energy is
