Planet dynamics simulator Planet dynamics simulator NoA (Newton's Apple)NoA (Newton's Apple)

Takahiro Koishi

University of Fukui

What is NoA?What is NoA?

one of the solar system simulator3D graphics (OpenGL)focus on the dynamics of planetposition, velocity, mass of all planets

(including Sun and Pluto) are variablesimple GUI (graphical user interface)

Brief history of NoABrief history of NoA

Visualized Molecular Dynamics of NaCl (2001)

Dancing Molecule Simulator (2002) demo program of molecular simulation

NoA (ver.0.31) for Universe (2003-2006) prototype version

NoA (ver.1.00) coming soon polished version

ViewView

stop time ON/OFFconsole ON/OFForbit ON/OFFlighting ON/OFFvelocity and force arrow ON/OFFname ON/OFFscale mode

default, relative, absolute

Position and velocity operationPosition and velocity operation

You can move a planet position by mouse operation

You can change a direction and magnitude of velocity by mouse operation

Add a new planetAdd a new planet

Red apple Mass is the same as the earth’s mass

White apple Mass is the same as the sun’s mass

=

=

ExamplesExamples

Solar system billiard shot white apple to the sun

Oscillated orbit put a planet near the orbit of the Jupiter trajectory of the planet oscillate inside and

outside of the orbit of the JupiterUnstable orbit

put a planet near the orbit of the Jupiter arbitrary

SummarySummary

NoA represent the dynamics of planetExperiments that use the planet can be ac

hievedCalculation cost is not heavyAccuracy of the simulation is not high

(integrator is leap-frog, time step is fixed)

I hope NoA is good tool to understand planet dynamics