## astronomy Simulations

### historical #### The Celestial Sphere

A 3d model of the ancient celestial sphere concept. #### Epicycles Simulator

A tool to visualize epicycles

### Solar System #### Doug's Solar System

Adjust the parameters of a custom solar system #### The Earth in Orbit (simplified)

A 3d model earth in orbit around the sun #### A (long) Day on Mercury

A simulation that shows the length of a day on Mercury

### cosmology #### Expanding Universe

An expanding universe has no center.

### gravitation #### A simple gravity assist

Watch a smaller body getting a gravity assist from a larger body #### Tidal Forces

Observe the effects of tidal forces on a two body system #### Two Body Orbits - One large

One large and one small body in orbit #### Two Body Orbits

Two bodies orbiting a common barycenter

### orbits #### Kepler's Second Law

Equal Areas in Equal times

### basics #### Solar day vs. Sidereal day

A solar day is just a little longer than a sidereal day. See how!

### stars #### Star Color and Temperature

Observe the relation between temperature and color of star #### Star Color and Temperature

Observe the relation between temperature and color of star

## math Simulations

### functions #### The Line Tangent to a Function

See the tangent line at various points along a curve #### The Origins of Sine and Cosine Functions

Rotations around the unit circle can make sinusoidal functions. Change the coefficients that determine a parabola Change the coefficients that determine a basic sine function #### A Damped Sinusoidal Function

Change the coefficients that determine a basic sine function #### Square Wave Fourier Series

Summing up certain sine waves will produce a square wave #### Beating shown graphically

Add two sine waves and change the relative frequency of one, slightly #### Sum of Two Sine Waves

Add two sine waves and change the relative phase #### Triangle Wave Fourier Series

Summing up certain sine waves will produce a triangle wave

### numbers #### Orders of Magnitude

How big is a circle that is 100 times wider? #### Visualizing Averages

The average of any two quantities can be seen graphically

## physics Simulations

### kinematics #### Ball Slides down a Ramp

A simple motion diagram for a ball sliding down a ramp #### Ball Drop - Free Fall and Measure

Drop a ball, and measure its height #### Ball Drop - Horizontal Velocity

Drop a ball, and throw one - what happens? #### Ball Slides Up and then Down a Ramp

A simple motion diagram for a ball given an initial velocity up the ramp. #### A kinematic cart simulator

See the ball fall back into the cup. #### Launch a Projectile

A typical projectile motion, with vectors for display. #### Plot the Kinematics of an Elevator

See three graphs of position, velocity, and acceleration for an elevator moving up and down. #### Inertial Reference Frame Example

Which observer has the right view of the bouncing ball?

### modern #### The Bohr / de Broglie Model

Change the energy level of the electron in this Bohr Model #### Quantum Scattering

Change the parameters affecting quantum scattering. #### Summing up Many Sine Waves

This is an abstract representation of the Uncertainty Principle.

### momentum #### Cats in a raft

Tossing cats from a raft has never been this fun!

### rotation #### Centripetal Acceleration Vectors

Observe the acc. and vel. vectors for an object moving in a circle. #### A box attached to a Massive Pulley

Adjust the parameters of a pulley/mass system to see the change in rotation speed and linear acceleration of the falling mass. #### A rotating wheel

See the tangential velocity vectors on a rotating wheel.

### optics #### Simple Color Mixing

Arrange the three circles to experiment with mixing 3 colors #### Ray Diagram

Change the parameters for a converging lens system

### electrostatics #### Electric Dipole in an Electric Field

Adjust the field strength and observe the effects on the dipole

### light #### Double Slit Intensity graph

Adjust the variables in a double slit experimental setup to see their effects on the intensity plot. #### Diffraction Grating Intensity graph

Adjust the variables in a n-slit (i.e. diffraction grating) experimental setup to see their effects on the intensity plot. #### Single Slit Intensity graph

Adjust the variables in a single slit experimental setup to see their effects on the intensity plot.

### historical #### Force and Motion

A replica of an old simulation. #### Huygens Principle

An animated update to a classic figure.

### forces #### A Block on a Ramp, with Friction

See how a block on a ramp will respond to the angle of the ramp and a shoving force. #### Mass on a Ramp Free Body Diagram

Adjust the angle of a ramp and see how the free body diagram changes. (Does not include friction)

### oscillations #### Pendulum Vectors

Inspect the acceleration and velocity vectors for a pendulum #### Pendulum with plots

See how a pendulum correlates with the kinematic variables #### A Spring and its parameters

Adjust the parameters of a spring mass system and see the effects

### circular-motion #### Simple Solar System

add planets to a simple solar system

### sound soundwaves are oscillations in pressure as function of position and time. #### Standing Sound Waves in a Closed-Closed Tube

soundwaves are oscillations in pressure as function of position and time. #### Standing Sound Waves in a Closed-Open Tube

soundwaves are oscillations in pressure as function of position and time. #### Standing Sound Waves in an Open-Open Tube

soundwaves are oscillations in pressure as function of position and time. #### Soundwaves

soundwaves are oscillations in pressure as function of position and time. #### Two Speakers - 1D interference

The spacing between two speakers changes the interference of the sound waves.

### waves #### A Standing Wave with Labels

A standing wave labeled with node and antinode and adjustable wavelength. #### A Standing Wave

A standing wave formed by two traveling waves and adjustable angular frequency. Change the coefficients that determine a traveling sine wave #### Traveling Wave Amplitude

Note how the amplitude affects a transverse traveling wave #### Traveling Wave Vectors

Visualize the velocity of the constituent particles of a traveling wave. #### Traveling Wave

A simple traveling wave showing the motion of the medium. #### Wave in a medium

See the wavelength change as a wave passing thought different mediums

### Rotations and Torque #### Torque on a Wrench

Adjust the position, angle, and magnitude of a force applied on a wrench.