235 lines
5.1 KiB
Plaintext
235 lines
5.1 KiB
Plaintext
.TH GALAXY 1
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.SH NAME
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galaxy, mkgalaxy \- galactic n-body simulator
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.SH SYNOPSIS
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.B games/galaxy
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[
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.I options
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] [
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.B -i
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] [
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.I file
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]
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.br
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.B games/mkgalaxy
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[
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.I options
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] [
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.B -i
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] [
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.B -f
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.I file
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]
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.I size
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.SH DESCRIPTION
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.I Galaxy
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is an n-body simulator that uses a Barnes-Hut quad-tree
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to calculate gravitational interactions.
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Typical usage is to read a galaxy file (see
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.IR galaxy (6))
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from standard input
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using the
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.B -i
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command-line option or from a
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.I file
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using the
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.B -f
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option. If no file is read then the simulator starts with an empty
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universe.
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.SS Mouse commands
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.PP
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Holding mouse button 1 while dragging repositions the visible region of
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the galaxy. Holding mouse button 2 while dragging up or down zooms the
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visible region of the galaxy in or out, respectively.
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Mouse button 3 opens a menu with the following options:
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.TP
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.B "new body"
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Creates a new galactic body.
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Holding button 1 positions the body.
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Holding a button 1-2 chord changes the mass/size
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of the body. Holding a button 1-3 chord
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changes the initial velocity of the body. Releasing button 1
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restarts the simulator with the new body in motion. When new
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bodies are created, the simulator maintains the Galilean (inertial)
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reference frame where the center of mass of the galaxy is at rest.
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.TP
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.B speed
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Prompts for a floating point value to change the speed of
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the simulation. E.g. a value of 2 will double the speed
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of the simulation and a value of 0.5 will
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halve the speed. Accuracy is sacrificed for greater speed.
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.TP
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.B gravity
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Prompts for a floating point value to change the gravitational
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constant. E.g. a value of 2 will double the force exerted by
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gravity and a value of 0.5 will halve it.
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.TP
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.B save
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Prompts for a file name to save the current galaxy as a
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.IR galaxy (6)
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file.
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.TP
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.B load
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Prompts for a file name to load the galaxy from the
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.IR galaxy (6)
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file.
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.TP
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.B exit
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Exits the simulator.
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.SS Keyboard commands
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The following keys are recognized as commands:
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.TP
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.B a
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Show accelerations as vectors.
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.TP
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.B v
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Show velocities as vectors.
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.TP
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.B s
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Show statistics such as the number of bodies being
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simulated, the maximum depth of the quad-tree, and the
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average number of calculations made per body.
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.TP
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.B q
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Exit the simulator.
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.TP
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.B space
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Pause and unpause the simulator.
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.TP
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.B del
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Exit the simulator.
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.SS Command-line options
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Certain aspects of the galaxy simulator are controlled by
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the following options:
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.TP
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.BI -G " gravity"
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Sets the gravitational constant to
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.I gravity.
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The default value is 1.
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.TP
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.BI -f " file"
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Reads the galaxy file
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.I file
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(see
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.IR galaxy (6)).
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.TP
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.B -i
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Reads a galaxy file from standard input.
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.TP
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.BI -p " procs"
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Specifies the number of extra processes to use in order
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to calculate the gravitational force on each body in
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parallel.
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The default value is
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.BR $NPROC-1 .
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.TP
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.BI -t " throttle"
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Causes the process that calculates forces to relinquish
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the processor for
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.I throttle
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milliseconds after each calculation.
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.TP
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.BI -ε " softening"
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Sets the
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.I softening
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factor to prevent gravitational singularities during
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collisions or near-collisions. The default value is 500.
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.SS Mkgalaxy
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.I Mkgalaxy
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is a utility to create galaxies for simulation.
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Galaxies can be assembled incrementally by reading an
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existing galaxy file from standard input with the
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.B -i
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command-line option or from a
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.I file
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with the
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.B -f
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option. Mkgalaxy then writes to standard output a
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.IR galaxy (6)
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file with a galaxy of the given
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.I size
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together with the previously read galaxy.
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Galaxies generated by mkgalaxy have characteristics
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determined by the following options:
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.TP
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.BI -d " distance"
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.I Distance
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determines the spacing between bodies.
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The default value is 100.
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.TP
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.BI -s " size"
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Bodies have the given
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.IR size .
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The default value is 25.
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.TP
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.BI -v " velocity"
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Bodies have the given
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.I velocity
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in a random direction.
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The default value is 0.
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.TP
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.BI -av " angular velocity"
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Bodies have the given
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.I "angular velocity"
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relative to the center of mass of the new galaxy being generated.
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The default value is 0.
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.TP
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.BI -gv " x,y"
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The entire galaxy being generated is given the directional velocity determined
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by the vector
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.RI ( x,y ).
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The default value is (0, 0).
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.TP
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.BI -o " x,y"
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The entire galaxy being generated is offset by the vector
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.RI ( x,y ).
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The default value is (0, 0).
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.TP
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.B -sq
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The galaxy being generated is a square. Without this option, the galaxy
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will be circular.
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.PP
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The arguments to the
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.BR -d ,
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.BR -s ,
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.BR -v ,
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and
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.B -av
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arguments have the form
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.B s
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or
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.B s±r
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where s and r are double-precision floating point numbers.
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.B S
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is the base value and
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.B r
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if given determines a range in which the value will vary randomly
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from the base.
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.SH EXAMPLES
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Two rotating circles destroy each other:
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.IP
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.EX
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games/mkgalaxy -av 100 -d 60±50 -v 10 2000 |
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games/mkgalaxy -i -av -70 -d 80±50 -v 10 -o 6000,2000 -gv -80,40 3000 |
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games/galaxy -i
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.EE
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.PP
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Cool patterns made by a square galaxy:
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.IP
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.EX
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games/mkgalaxy -sq -av 20 5000 | games/galaxy -i
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.EE
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.SH SOURCE
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.B /sys/src/games/galaxy
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.SH SEE ALSO
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J. Barnes & P. Hut (December 1986). "A hierarchical O(N log N) force-calculation algorithm".
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.IR Nature .
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324 (4): 446–449.
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.PP
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.IR galaxy (6)
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.SH HISTORY
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.I Galaxy
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and
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.I mkgalaxy
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first appeared in 9front (Feb, 2017).
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