The Catalog of Sims astronomy Solar System basics cosmology gravitation historical orbits stars electronics signals math functions numbers trigonometry vectors physics Rotations and Torque circular-motion coordinates electrostatics forces historical kinematics light modern momentum optics oscillations rotation sound waves astronomy Simulations orbits Binary Systems Play with 2 gravitationally interacting masses View The Sim! About/Instructions Effective Potential and Gravity Change to orbital parameters to modify the effective potential as a function of r. View The Sim! About/Instructions Elliptical Orbits and Eccentricity How close are ellipses and circles for our solar system objects? View The Sim! About/Instructions Kepler's Second Law Equal Areas in Equal times View The Sim! About/Instructions historical The Celestial Sphere A 3d model of the ancient celestial sphere concept. View The Sim! About/Instructions Epicycles Simulator A tool to visualize epicycles View The Sim! About/Instructions Solar System Doug's Solar System Adjust the parameters of a custom solar system View The Sim! About/Instructions The Earth in Orbit (simplified) A 3d model earth in orbit around the sun View The Sim! About/Instructions A (long) Day on Mercury A simulation that shows the length of a day on Mercury View The Sim! About/Instructions cosmology Expanding Universe An expanding universe has no center. View The Sim! About/Instructions gravitation A simple gravity assist Watch a smaller body getting a gravity assist from a larger body View The Sim! About/Instructions Tidal Forces Observe the effects of tidal forces on a two body system View The Sim! About/Instructions Two Body Orbits - One large One large and one small body in orbit View The Sim! About/Instructions Two Body Orbits Two bodies orbiting a common barycenter View The Sim! About/Instructions stars Stellar Parallax Interactive diagram show how stellar parallax arises. View The Sim! About/Instructions Star Color and Temperature Observe the relation between temperature and color of star View The Sim! About/Instructions Star Color and Temperature Observe the relation between temperature and color of star View The Sim! About/Instructions basics Retrograde Motion See how apparent retrograde motion is created in a heliocentric solar system. View The Sim! About/Instructions Solar day vs. Sidereal day A solar day is just a little longer than a sidereal day. See how! View The Sim! About/Instructions electronics Simulations signals Adjustable PWM output An interactive plot showing duty cycle and frequency for a PWM output. View The Sim! About/Instructions math Simulations functions The Line Tangent to a Function See the tangent line at various points along a curve View The Sim! About/Instructions The Origins of Sine and Cosine Functions Rotations around the unit circle can make sinusoidal functions. View The Sim! About/Instructions Adjustable Parabola Plot Change the coefficients that determine a parabola View The Sim! About/Instructions General Cosine Plot Change the coefficients that determine a basic cosine function View The Sim! About/Instructions Adjustable Sine Function Change the coefficients that determine a basic sine function View The Sim! About/Instructions A Damped Sinusoidal Function Change the coefficients that determine a basic sine function View The Sim! About/Instructions Square Wave Fourier Series Summing up certain sine waves will produce a square wave View The Sim! About/Instructions Beating shown graphically Add two sine waves and change the relative frequency of one, slightly View The Sim! About/Instructions Sum of Two Sine Waves Add two sine waves and change the relative phase View The Sim! About/Instructions Triangle Wave Fourier Series Summing up certain sine waves will produce a triangle wave View The Sim! About/Instructions trigonometry Hyperbolic Angles See the relation between normal angles for a circle and their hyperbolic analogues. View The Sim! About/Instructions numbers Orders of Magnitude How big is a circle that is 100 times wider? View The Sim! About/Instructions Visualizing Averages The average of any two quantities can be seen graphically View The Sim! About/Instructions vectors Random Walk A Random walk or two or twenty View The Sim! About/Instructions Vector Addition View The Sim! About/Instructions Vector Components View The Sim! About/Instructions physics Simulations kinematics Ball Slides down a Ramp A simple motion diagram for a ball sliding down a ramp View The Sim! About/Instructions Ball Drop - Free Fall and Measure Drop a ball, and measure its height View The Sim! About/Instructions Ball Drop - Horizontal Velocity Drop a ball, and throw one - what happens? View The Sim! About/Instructions Ball Slides Up and then Down a Ramp A simple motion diagram for a ball given an initial velocity up the ramp. View The Sim! About/Instructions A kinematic cart simulator See the ball fall back into the cup. View The Sim! About/Instructions Launch a Projectile A typical projectile motion, with vectors for display. View The Sim! About/Instructions Plot the Kinematics of an Elevator See three graphs of position, velocity, and acceleration for an elevator moving up and down. View The Sim! About/Instructions Plot a Trajectory with Drag This simulation solves the differential equations for projectile motion with both linear and quadratic drag and plots the result, allowing for comparison between different drags. View The Sim! About/Instructions Inertial Reference Frame Example Which observer has the right view of the bouncing ball? View The Sim! About/Instructions modern The Bohr / de Broglie Model Change the energy level of the electron in this Bohr Model View The Sim! About/Instructions Interactive Galilean Coordinate Transform Adjust the speed of the moving frame. View The Sim! About/Instructions Interactive Minkowski Diagram Adjust the speed of the moving frame and make events. View The Sim! About/Instructions Quantum Scattering Change the parameters affecting quantum scattering. View The Sim! About/Instructions Summing up Many Sine Waves This is an abstract representation of the Uncertainty Principle. View The Sim! About/Instructions momentum Cats in a raft Tossing cats from a raft has never been this fun! View The Sim! About/Instructions rotation Centripetal Acceleration Vectors Observe the acc. and vel. vectors for an object moving in a circle. View The Sim! About/Instructions 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. View The Sim! About/Instructions Rotating Reference Frame Compare the motions of a projectile between reference frames View The Sim! About/Instructions A rotating wheel See the tangential velocity vectors on a rotating wheel. View The Sim! About/Instructions optics Simple Color Mixing Arrange the three circles to experiment with mixing 3 colors View The Sim! About/Instructions Ray Diagram Change the parameters for a converging lens system View The Sim! About/Instructions electrostatics Electric Dipole in an Electric Field Adjust the field strength and observe the effects on the dipole View The Sim! About/Instructions light Double Slit Intensity graph Adjust the variables in a double slit experimental setup to see their effects on the intensity plot. View The Sim! About/Instructions 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. View The Sim! About/Instructions Single Slit Intensity graph Adjust the variables in a single slit experimental setup to see their effects on the intensity plot. View The Sim! About/Instructions Snell's Law See how refraction changes the direction of a light ray View The Sim! About/Instructions historical Force and Motion A replica of an old simulation. View The Sim! About/Instructions Huygens Principle An animated update to a classic figure. View The Sim! About/Instructions 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. View The Sim! About/Instructions 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) View The Sim! About/Instructions oscillations Pendulum Vectors Inspect the acceleration and velocity vectors for a pendulum View The Sim! About/Instructions Pendulum with plots See how a pendulum correlates with the kinematic variables View The Sim! About/Instructions A Spring and its parameters Adjust the parameters of a spring mass system and see the effects View The Sim! About/Instructions Coupled Oscillators - 2 springs / 3 masses Visualize the normal modes in a coupled oscillator View The Sim! About/Instructions coordinates Polar and Cartesian Coordinates An object in circular motion shown in both cartesian and polar coordinates. View The Sim! About/Instructions circular-motion Simple Solar System add planets to a simple solar system View The Sim! About/Instructions sound Radially Propagating Sound Waves soundwaves are oscillations in pressure as function of position and time. View The Sim! About/Instructions Standing Sound Waves in a Closed-Closed Tube soundwaves are oscillations in pressure as function of position and time. View The Sim! About/Instructions Standing Sound Waves in a Closed-Open Tube soundwaves are oscillations in pressure as function of position and time. View The Sim! About/Instructions Standing Sound Waves in an Open-Open Tube soundwaves are oscillations in pressure as function of position and time. View The Sim! About/Instructions Soundwaves soundwaves are oscillations in pressure as function of position and time. View The Sim! About/Instructions Two Speakers - 1D interference The spacing between two speakers changes the interference of the sound waves. View The Sim! About/Instructions waves A Standing Wave with Labels A standing wave labeled with node and antinode and adjustable wavelength. View The Sim! About/Instructions A Standing Wave A standing wave formed by two traveling waves and adjustable angular frequency. View The Sim! About/Instructions Adjustable Traveling Wave Change the coefficients that determine a traveling sine wave View The Sim! About/Instructions Traveling Wave Amplitude Note how the amplitude affects a transverse traveling wave View The Sim! About/Instructions Traveling Wave Vectors Visualize the velocity of the constituent particles of a traveling wave. View The Sim! About/Instructions Traveling Wave A simple traveling wave showing the motion of the medium. View The Sim! About/Instructions Wave in a medium See the wavelength change as a wave passing thought different mediums View The Sim! About/Instructions Rotations and Torque Torque on a Wrench Adjust the position, angle, and magnitude of a force applied on a wrench. View The Sim! About/Instructions