# Gravitationswellen

Interaktive Visualisierung von Raumzeit-Wellen von Binär-Schwarzes-Loch-Verschmelzungen

> Kanonische Seite: https://elysiatools.com/de/visualizations/gravitational-waves

- **Kategorie:** Physics

## Überblick

Interactive visualization of gravitational waves from binary black hole mergers with LIGO detector simulation. Features the fundamental equations: Strain h = ΔL/L ≈ 10⁻²¹ (LIGO detection sensitivity), Gravitational wave frequency f_GW = 2·f_orb (twice the orbital frequency), Chirp mass M_chirp = (m₁m₍₂₎)^(3/5)/(m₁+m₂)^(1/5) (determines inspiral rate), Waveform h(t) ~ A(t)·cos(Φ(t)) (amplitude and phase evolution), plus (+) and cross (×) polarizations h₊ = h₀(1+cos²ι)cos(2ϕ), hₓ = 2h₀cosι sin(2ϕ). Real-time visualization includes: (1) Spacetime Grid View showing 3D grid distortion from passing gravitational waves with wave propagation animation, strain amplitude visualization (10⁻²¹ scale), grid point displacement based on wave phase, exponential decay with distance from source; (2) Binary System View displaying two black holes (m₁ and m₂) with Schwarzschild radii proportional to mass, orbital trails showing inspiral trajectory, velocity vectors indicating orbital speed, separation distance decreasing over time, real-time mass and position labels; (3) LIGO Detector View showing Michelson interferometer with 4km arms, laser source, beam splitter, end mirrors, detector, phase shift from passing gravitational waves ΔL/L = h, real-time strain measurement display, detector readout; (4) Waveform Chart plotting h(t) with both plus (+) and cross (×) polarizations showing characteristic chirp (increasing frequency and amplitude), merger peak, and ringdown exponential decay; (5) Frequency Evolution Chart displaying f_GW vs time showing the frequency chirp from ~10Hz to ~100Hz for stellar-mass black holes, merger frequency spike; (6) Strain Amplitude Chart showing |h| vs time demonstrating amplitude increase during inspiral, peak at merger, exponential decay during ringdown. Real-time value displays: Strain h (×10⁻²¹), GW frequency (Hz), Orbital separation (km), Orbital velocity (fraction of c), Current phase (inspiral/merger/ringdown) with progress bar. Interactive parameters: Black hole masses m₁, m₂ (5-50 M☉ each), Distance to source (10-1000 Mpc), Inclination angle ι (0-90°), Initial separation (500-2000 km), Simulation speed (0.1-3x). Display options: toggle spacetime grid, wave propagation visualization, orbital velocity vectors. Event presets: GW150914 (first LIGO detection, m₁=36 M☉, m₂=29 M☉, D=410 Mpc), GW170817 (binary neutron star merger, m₁=1.46 M☉, m₂=1.27 M☉, D=40 Mpc), Generic Binary (custom parameters). Educational content covers Gravitational waves definition (ripples in spacetime predicted by Einstein's 1916 general relativity, propagate at speed of light, produced by accelerating masses, quadrupole radiation), Binary evolution phases (inspiral - black holes spiral inward losing energy to GW emission over millions of years, merger - violent collision releasing enormous energy in milliseconds, ringdown - distorted final black hole settles to stable Kerr state), LIGO detection principle (Michelson interferometer measures arm length difference ΔL ~ 10⁻¹⁸ m, laser interference pattern shift, two detectors for coincidence, Hanford and Livingston), Waveform characteristics (chirp signal - frequency and amplitude increase, merger peak - maximum amplitude, ringdown - quasi-normal mode decay, different mass ratios produce different waveforms), Astrophysical sources (binary neutron stars - inspiral detected minutes before merger, binary black holes - no electromagnetic counterpart, supernovae - asymmetric collapse, pulsars - continuous waves, stochastic background - unresolved superposition), Strain sensitivity (h ~ 10⁻²¹ for LIGO, corresponds to ΔL/L for 4km arms, Advanced LIGO design, future detectors Einstein Telescope, Cosmic Explorer, LISA for space-based low-frequency GW). Multi-language support (zh, en, de, fr, es, pt, ru).

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