Singular vs Simple Orbit Simulator

Singular is a professional-grade analog & logic circuit simulator designed for your iPhone and iPad. Build, simulate, and analyze electronic circuits with an intuitive drag-and-drop editor and a powerful real-time simulation engine — no internet required. Whether you're an electrical engineering student studying for exams, a maker prototyping your next project, or a professional verifying a design, Singular gives you a complete electronics workbench in your pocket. POWERFUL SIMULATION ENGINE • Modified Nodal Analysis (MNA) with TR-BDF2 adaptive solver • Real-time transient, DC, and AC analysis • Frequency-aware adaptive timestep — accurate results at any speed • Newton-Raphson nonlinear convergence for semiconductors • Hot-swap: modify your circuit while simulation is running 40+ ELECTRONIC COMPONENTS Passive — Resistor, Capacitor, Inductor, Potentiometer Sources — DC Voltage, AC Voltage, Pulse Generator Diodes — Standard Diode, Ideal Diode, LED Transistors — NPN, PNP, Darlington PNP, N-MOSFET, P-MOSFET Integrated Circuits — NE555 Timer, Operational Amplifier (Op-Amp) Logic Gates — AND, OR, NAND, NOR, XOR, XNOR, Inverter, Buffer Flip-Flops — D, JK, T Flip-Flop, SR Latch Measurement — Voltmeter, Ammeter Power Rails — Ground, VCC, VDD, VSS, VEE, ±3.3V, ±5V REAL-TIME OSCILLOSCOPE • Multi-trace display with color-coded signals • Adjustable time base and voltage scale • Pinch-to-zoom and pan gestures • 60 fps rendering — smooth and responsive INTUITIVE CIRCUIT EDITOR • Drag-and-drop component placement with grid snapping • Draw wires by tapping terminals — automatic routing • Rotate, flip, and mirror components freely • Multi-select, move, and organize your design • Full undo/redo history (up to 100 steps) • Pinch zoom (0.1x–5x) and two-finger pan PROFESSIONAL TOOLS • Design Explorer with automatic reference designators (R1, C2, U3…) • Standard value picker — E12, E24, E96 resistor series and standard capacitor values • Built-in expression evaluator — type "10k*2.2" and get the result instantly • Real-time voltage, current, and power readouts on every component • Net name visualization for complex designs LEARN & EXPLORE • Built-in example circuits: Voltage Divider, Current Divider, Inverting Amplifier, 555 Timer Demo • Resource Center with reference articles • Detailed simulation error guide — understand what went wrong and why • Save examples to your workspace and modify them freely SAVE, EXPORT & SHARE • Save unlimited circuits to your workspace • Export circuits as portable .circuit files with embedded thumbnails • Import circuits from other users or devices • Add names, descriptions, and metadata to every project DESIGNED FOR iPAD & iPHONE • Built 100% with SwiftUI for a native Apple experience • Optimized for both touch and Apple Pencil • Works entirely offline — your data stays on your device Singular is the circuit simulator that students wish they had during lectures, that makers reach for at the workbench, and that engineers trust for quick verification. Download it and start building. Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

Simple Orbit Simulator brings the elegance of Einstein's general relativity to your fingertips. Watch two celestial bodies dance under the influence of gravity — not as a textbook approximation, but as a true Schwarzschild geodesic simulation — the same physics that governs real planets, stars, and black holes. Real Physics, Visually Beautiful Unlike typical orbit simulators that use Newtonian gravity, Simple Orbit Simulator traces actual curved-spacetime paths. Every orbit is a genuine geodesic of the Schwarzschild metric. The result: Mercury-style perihelion precession that slowly paints a rosette pattern on screen, gravitational time dilation that deepens as the planet plunges toward the star, and event horizon dynamics that are physically meaningful — not just decorative. Black Hole Mode Switch to Black Hole Mode and watch a supermassive compact object warp the simulation. The event horizon, photon sphere, and innermost stable circular orbit (ISCO) become visible boundaries. Push the planet too close and it crosses the point of no return. Accretion disk glow and a dynamically warped spacetime grid make the physics viscerally tangible. Full 3D Orbits Tilt the orbital plane with the inclination slider and drag the canvas to rotate the camera freely. Horizontal drag changes the azimuth — spinning the scene left and right. Vertical drag changes the elevation — from a top-down view to edge-on. A circular orbit becomes an ellipse, a line, or a spiral rosette depending on your viewpoint. Physics is computed in full three-dimensional space. Live Relativistic Metrics Track real-time data as the simulation runs: • Gravitational time dilation factor • Accumulated proper time of the orbiting body • Lorentz gamma factor • Orbital velocity as a fraction of the speed of light • Perihelion precession angle in degrees • Orbits completed Explore and Experiment Adjust star mass, planet mass, and orbital distance with intuitive logarithmic sliders. See how increasing the star's mass deepens the gravitational well. Increase separation and watch relativistic precession shrink as GR effects fade with distance. Combine an inclined orbit with Black Hole Mode for a dramatic 3D plunge trajectory. Built for Clarity Every design decision prioritises understanding over complexity. The simulation uses scaled constants so relativistic effects are visible at screen scale — preserving all qualitative behaviour predicted by general relativity in a form humans can actually see. Simple Orbit Simulator is for students, educators, curious minds, and anyone who has ever looked up at the night sky and wondered what holds it all together.