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Universe Sandbox Wiki
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In Universe Sandbox, two [[Object Types|objects]] in a simulation will exert an attracting force on each other due to [https://en.wikipedia.org/wiki/Gravity gravity]. This force will affect their motion over time. ==Physics== The strength of the gravitational force depends on the [[Mass|mass]] of each object, ''M''<sub>1</sub> and ''M''<sub>2</sub>, the distance between the objects, ''d'', and the [[Gravitational Constant|gravitational constant]] of the simulation, ''G'', according to the following equation: :<math>F = G\frac{M_1 M_2}{d^2}. </math> This force will affect each object's [[Velocity Vector|velocity]]. The [[Acceleration|acceleration]], or change in velocity over time, of each object depends only on the other object's mass, not its own. For example, the acceleration of object 1 due to gravity would be :<math>a_1 = G\frac{M_2}{d^2}. </math> The effects of gravity on the motion of objects in a simulation is simulated by Universe Sandbox's [[N-Body Simulation|N-body simulation]], which calculates the forces acting on each object at every [[N-Body_Simulation#Time_Step|time step]], the accelerations that these forces would cause, and the movement of the objects as a result. ==Special Cases== For performance reasons, not all objects in Universe Sandbox simulate the effects of gravity. Objects that are non-[[attracting]], such as [[Fragment|fragments]], will not exert a gravitational force on other objects. Object that are non-[[attracted]], such as [[Supernova Cloud|supernova clouds]], will not feel the gravitational force of other objects. [[Category:Gravity]] [[Category:Physics]]
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