Make Chirps vs Three

This educational app displays gravitational wave chirps created by mergers of massive black holes in several different ways, giving users an intuitive understanding of these exotic disturbances of space-time itself produced by cataclysmic events in distant galaxies. FEATURES: • Simulation: Experience the intricate behavior of gravitational waves through physics simulation of inspiralling black holes that merge to form a final black hole which then “shakes off” its excess energy. • Visualizations: See the essence of gravitational waves via waveform plots, frequency evolutions, and spectrograms, to understand the patterns and how they depend on black hole masses. • Auditory Experience: Listen closely as you hear the evolution of gravitational waves, detecting the characteristic increase in time in strength and frequency. Try varying masses to see how pitch is affected. • Dynamic Animations: Witness the captivating dance of black holes in collision animations. Explore the propagation of these waves through space-time with mesmerizing spiral animations. • Educational Insights: Gain a comprehensive understanding of gravitational waves and the pioneering work of LIGO through informative text pages, enhancing your knowledge of these cosmic phenomena. COMPATIBILITY Compatible with iPhone and iPad, iOS 16 or later. ACKNOWLEDGEMENT Supported by the National Science Foundation with grant PHY-2110181.

Three bodies. Countless paths. Watch the beauty of gravity unfold. Three-Body Simulation brings abstract celestial motion into a world of orbits you can watch, interact with, and explore. See three bodies pull on one another as their trails gradually draw patterns, and discover how a simple law of gravity produces rich and fascinating motion. Explore 16 classic periodic solutions From the flowing Figure Eight to Butterfly, Moth, and Bumblebee, discover the shapes and rhythms of different periodic solutions. Detailed introductions to each orbit explain the motion behind these patterns. Discover 10,059 three-dimensional periodic orbits Explore published spatial periodic solutions and discover paths that weave and curve through space. Choose an orbit by number or discover one at random, then rotate the view to see its shape from different directions. Try your own gravity experiment Adjust the mass, initial position, and velocity of each body and watch how the orbit changes. You can also explore random three-body motion to see how the bodies approach, circle, and move away from one another. Turn curiosity into understanding Learn about the origins, history, and basic principles of the three-body problem. See the full system of three equations of motion, explore classic periodic solutions, and learn how the 10,059 spatial periodic orbits were discovered. Let the paths you see become a starting point for understanding gravity and motion. Available on iPhone and iPad in ten languages, including Chinese, English, and Japanese. Orbit data, simulations, and introductions are included in the app, so the core exploration experience works offline. The complete orbit catalog, random motion, and custom experiments are unlocked with a one-time in-app purchase.