Live parents-vs-remnant board so total mass never pretends to skip the radiated mass-energy peel.
Educational toy model only. Not numerical relativity, not a LIGO analysis pipeline, not a catalog fit. Prefer GWOSC and collaboration papers for research. See disclaimers.
By Ahmet C. Toplutaş·Site owner & editor · Science tools
Last updated May 21, 2026 · Reviewed May 21, 2026 · Planning estimates only - not tax, medical, or investment advice
01
A binary black-hole merger starts with two parent masses and ends with one remnant. Along the way, gravitational waves carry away mass-energy. The gap between total parents and remnant is the radiated peel, not a missing third hole.
This page’s framing is parents vs remnant, with chirp mass and a Peters inspiral time for size and clock literacy. It is a classroom toy model, not a LIGO posterior or a numerical relativity catalog.
Not research-grade analysis. See our disclaimers and prefer GWOSC / collaboration papers for science use.
Decision framing: “Am I looking at the two parents, or at what remains after the radiated mass-energy sketch?”
02
Gravitational-wave frequency evolution is especially sensitive to chirp mass: (m₁ m₂)^(3/5) / (m₁+m₂)^(1/5). Detector papers often constrain chirp mass more tightly than the individual component masses. The panel puts chirp beside the remnant stack so that combination does not hide inside a single “final mass” headline.
Keep total mass roughly fixed. Flip Equal twins → Unequal. Watch chirp and radiated fraction move with η while the remnant story stays readable.
03
The unique affordance is the radiated peel: an educational fraction of total mass (about 5% at equal mass, scaled with 4η) converted to joules via E = Mc². Real NR catalogs vary with mass ratio and spins; this clamp is vocabulary, not a published fit.
That is a different job from a fraction work strip or a concrete net-vs-order board. Here the literacy beat is missing mass-energy as waves, not homework LCD steps.
04
Separation enters a circular Peters quadrupole inspiral-time estimate. Shrink separation and the clock collapses; widen it and the binary looks patient on human timescales. Schwarzschild radii for each mass give a size check beside that separation.
The formula ignores eccentricity, higher post-Newtonian orders, and the plunge/merger waveform. Treat Close start as a teaching stress, not a waveform template.
05
Solar-mass inputs, geometric constants in SI, educational radiated fraction, and Peters time.
Final spin is a rough illustrative mix of η and input spins, not an NR remnant-spin formula from a named paper fit.
06
After merger vocabulary, hand off for classical mechanics literacy or density/speed tools, and to primary GW sources for data.
07
Scenario A: GW-like pair. Roughly 36 + 29 M☉. Remnant sits below the parent total by the radiated peel; chirp mass lands in the twenties of solar masses. Use as a public-event vocabulary walkthrough, not a catalog clone.
Switch to Unequal without matching the GW-like total. Watch η, radiated fraction, and chirp change shape while the remnant stack stays the product.
Scenario B: Equal twins. 30 + 30. η peaks at 1/4; radiated fraction sketch sits near 5%. Clean equal-mass teaching case.
Scenario C: Unequal. 40 + 12. Smaller η, smaller radiated fraction sketch, different chirp. Shows why mass ratio matters beyond “add the masses.”
Scenario D: Close start. Same masses, tight separation. Peters time collapses. Stress-test for separation literacy; still not a full NR plunge.
08
09
10
Stop here for binary-merger vocabulary. Hand off for classical tools or open GW data.
11
No. It is an educational toy model: chirp mass, a mass-ratio-scaled radiated-fraction sketch, a remnant mass, rough final spin, and a Peters-style circular inspiral time. Real detections use numerical relativity, calibrated waveform models, and detector noise curves.
Chirp mass combines the two component masses into the combination gravitational-wave frequency evolution is most sensitive to: (m1 m2)^(3/5) / (m1+m2)^(1/5). LIGO papers often quote chirp mass tightly even when individual masses are less certain.
The panel uses a simple educational rule: about 5% of total mass-energy at equal mass, scaled by 4η (symmetric mass ratio). That is not a fit to a specific simulation catalog. Remnant mass is total minus that radiated sketch.
It is the Peters quadrupole formula for two point masses on a circular orbit losing energy to gravitational waves from the separation you enter. Real binaries have eccentricity, higher-order effects, and a plunge/merger phase this toy model does not resolve.
Each mass has a Schwarzschild radius scale Rs = 2GM/c². Comparing separation to those scales is a size literacy check. Horizons and ISCO physics in spinning mergers are richer than this label.
No. Spins enter only a rough remnant-spin sketch. Effective spin, precession, and NR fits are outside this panel.
Cite LIGO/Virgo/KAGRA papers, GWOSC, and NR catalogs instead. Use this page to build vocabulary, not to publish merger parameters.
LIVE MERGER SKETCH
Remnant stack →Scene preset
PARENTS VS REMNANT
Total
65.00 M☉
Radiated
3.21 M☉
Remnant
61.79 M☉
CHIRP + ENERGY PEEL
SCALE + INSPIRAL
Updates as you type. Share writes the URL; typing does not. Toy-model sketch only.
Remnant mass
61.79 M☉
GW-scale mass sketch · radiated 3.21 M☉ · chirp 28.10 M☉
Remnant is parent total minus an educational radiated-fraction sketch. Chirp mass is the combination GW frequency evolution tracks most tightly. Inspiral time is a circular Peters estimate from your separation, not a full merger waveform.
Copy the link to save or share your results.