GRAVITATIONAL WAVE SIMULATION ENGINE V3.0

ASTROPHYZIX GW-ENGINE v3.0
ℹ️PRESS START BUTTON BELOW TO LAUNCH
Copyright © 2026 www.astrophyzix.org
COMPACT BINARY COALESCENCE -- POST-NEWTONIAN + QNM RINGDOWN
IDLE
STRAIN WAVEFORM h(t) --
h(t) t (s) 0.00 s
SPECTROGRAM (TIME-FREQUENCY POWER) 10 Hz -- 2 kHz
PAST NOW
10Hz 150Hz 2kHz
ORBITAL PLANE SPACETIME CURVATURE h_uv
h_uv TENSOR
ORBITAL ENERGY DECAY GW ANTENNA PATTERN
E_orb (t)
F+ / Fx
CHIRP MASS--Mo
GW FREQ--Hz
LUM. DIST--Mpc
PEAK STRAIN h+--
GW LUMINOSITY--W
TIME TO MERGE--s
ORBITAL SEP.--km
ORBITAL VEL.--%c
TOTAL MASS--Mo
LIGO O3 MATCHED-FILTER SNR rho = --
0 8 (threshold) 25 50+
EVENT LOG 0 events
PARAMETERSREAL-TIME ADJUSTMENT
MASS 1 36.0 Mo
MASS 2 29.0 Mo
DISTANCE 410 Mpc
INCL. ANGLE 0 deg
TIME SCALE x20
PRESETS:
PHYSICS MODEL

Compact binary inspiral in post-Newtonian (PN) approximation. Frequency evolution via 4th-order Runge-Kutta integration of the Peters (1964) chirp equation. Merger triggered at the innermost stable circular orbit (ISCO). Quasi-normal mode ringdown thereafter using Berti et al. (2006) final BH mass and spin fits.

KEY EQUATIONS
Mc = (m1*m2)^(3/5) / (m1+m2)^(1/5) [chirp mass]
h+(t) = A(t) * cos(2*phi(t)) [plus polarisation]
df/dt = (96/5)*pi^(8/3)*(G*Mc/c^3)^(5/3)*f^(11/3) [Peters 1964]
f_ISCO = c^3 / (6^1.5 * pi * G * M_total) [Schwarzschild ISCO]
h_rd = A*exp(-t/tau)*cos(2*pi*f_rd*t) [ringdown QNM]
rho ~ h_eff * sqrt(T / Sn(f)) [matched-filter SNR]
VISUALISATIONS

Strain waveform -- h(t) with amplitude envelope.
Spectrogram -- rolling time-frequency power waterfall showing the chirp sweep.
Orbital plane -- inspiral trajectory with gravitational wave ripple rings.
Spacetime curvature -- h_uv tensor magnitude on a spatial grid (heuristic).
Energy decay -- E_orb(t) with ISCO level marker.
Antenna pattern -- F+ and Fx polar sensitivity lobes vs inclination angle.
SNR meter -- LIGO O3 matched-filter signal-to-noise ratio estimate.
Event log -- timestamped physics milestones: ISCO approach, merger, ringdown.

PROVENANCE

Peters (1964) Phys Rev 136 B1224 -- orbital decay rate
Maggiore (2007) Gravitational Waves Vol.1 Oxford -- strain formula
Berti, Cardoso, Will (2006) PRD 73 064030 -- ringdown QNM fits
Abbott et al. (2016) PRL 116 061102 -- GW150914 reference event
LIGO/Virgo O3 (2020) -- sensitivity noise curves
MIT Licence. Astrophyzix Digital Observatory 2026.

LIMITATIONS

PN approximation breaks down near merger (v/c ~ 0.4+). Ringdown is parametric (QNM fit), not full numerical relativity. Spin-orbit and spin-spin couplings omitted. No cosmological redshift applied to frequency or amplitude. Antenna pattern is sky-averaged (fixed sky position). SNR is an order-of-magnitude estimate only. For precision work see LIGO LALSuite / IMRPhenomD waveforms.