Relativistic light Doppler / redshift
API · /doppler-api
Doppler Effect API
Doppler-effect maths as an API, computed locally and deterministically. The sound endpoint computes the acoustic Doppler shift, f' = f·(v + vo) / (v − vs), where v is the speed of sound (given directly, derived from an air temperature, or the default 343 m/s at 20 °C), vs is the source velocity and vo the observer velocity, with positive velocities meaning approaching: it returns the observed frequency and the frequency shift, and refuses a supersonic source. The light endpoint computes the relativistic Doppler effect for light, f' = f·√((1+β)/(1−β)), from a velocity in metres per second or as a fraction of the speed of light and a direction (approaching blue-shifts, receding red-shifts), returning the frequency and wavelength factor, the observed frequency or wavelength, and the redshift z. The radial-velocity endpoint reverses it: from a measured redshift, or an observed and rest wavelength, it recovers the radial velocity with the exact relativistic relation and the simple v ≈ z·c estimate. Frequencies are in hertz, wavelengths in nanometres, velocities in metres per second. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and astronomy education, radar, sonar and lidar tools, audio and acoustics apps, and spectroscopy and redshift calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the Doppler effect; for sound levels and decibels use an acoustics API.
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 75 ms
- Server probes · 24h
- Subscribers
- 4,014
- active
- Total calls
- 80
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 2,000 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- Acoustic Doppler shift f' = f(v+vo)/(v-vs)
- Relativistic light/redshift endpoint
- Deterministic instant results
- JSON response with intermediate terms
Starter
€5.00 /month
- 25,000 calls / month
- 5 requests / second
- Hard cap (429 above quota, no overage)
- All sound + light Doppler endpoints
- Configurable medium sound speed
- Wavelength and redshift z output
- Email support
Pro
€15.00 /month
- 150,000 calls / month
- 15 requests / second
- Hard cap (429 above quota, no overage)
- High-throughput classroom/app volume
- Batch source-observer scenarios
- SI + imperial unit handling
- Priority support
Mega
€49.00 /month
- 786,000 calls / month
- 40 requests / second
- Hard cap (429 above quota, no overage)
- Bulk simulation-grade throughput
- Full relativistic + acoustic coverage
- Lowest per-call cost for EdTech platforms
- Priority support + SLA
Built by
Related APIs
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Isotopes API
Atomic isotope reference data as an API, built on the NIST Atomic Weights and Isotopic Compositions. For every known nuclide: its element (atomic number Z and symbol), mass number, relative atomic mass, natural isotopic composition (abundance) and the element's standard atomic weight. Look an isotope up by label (C-12, U-238) or by symbol + mass, list every isotope of an element, rank isotopes by mass or natural abundance, or search. A precise physics and chemistry reference for science, education, lab and engineering apps. Distinct from element-level data.
api.oanor.com/isotopes-api
Hot Air Balloon Lift API
Hot-air-balloon lift maths as an API, computed locally and deterministically — the thermal-lift, envelope-temperature and air-density numbers a balloon pilot, designer or physics teacher works a flight out with. The lift endpoint gives the buoyant lift from heating the air: gross lift = envelope volume × (outside air density − inside air density), the densities from the ideal-gas law — a 2,500 m³ envelope at 100 °C on a 15 °C day lifts about 698 kg gross, from which you subtract the envelope, basket, burner and fuel for the payload, and the hotter the air and colder the day the more it lifts. The required-temp endpoint inverts it: to carry a target lift the inside air must reach a particular density and so a particular temperature, with a check that it stays under the ~120 °C that nylon envelopes can take — the everyday pre-flight question of whether the balloon can lift today's crew and fuel. The air-density endpoint gives the moist-air density ρ = (P − 0.378·Pv) ÷ (R·T), and explains the counter-intuitive fact that humid air is LESS dense than dry air, slightly cutting the lift. Everything is computed locally and deterministically, so it is instant and private. Ideal for ballooning and aviation tools, STEM and physics-education apps, and buoyancy calculators. Pure local computation — no key, no third-party service, instant. Idealised dry-lift model. 3 compute endpoints. For Archimedes flotation in water use a buoyancy API; for party-balloon helium lift a balloon API.
api.oanor.com/hotairballoon-api
Vacuum Technology API
Vacuum-technology maths as an API, computed locally and deterministically — the pump-down, boiling and pressure numbers a lab tech, process engineer or vacuum hobbyist works to. The pumpdown endpoint gives the ideal time to evacuate a chamber, t = (volume ÷ pump speed) × ln(start ÷ target pressure) — a 10-litre chamber on a 5 L/s pump drops from 1000 to 1 mbar in about 14 seconds in theory, though outgassing and falling pump speed stretch the real low-pressure stage. The boiling-point endpoint gives the temperature water boils at under reduced pressure from the Antoine equation: about 100 °C at sea level, but only ~52 °C at 100 mbar and ~46 °C at 100 mbar — the physics behind vacuum degassing, freeze-drying and high-altitude cooking. The level endpoint converts a pressure across the common vacuum units (mbar, Torr/mmHg, Pa, kPa, inHg, atm, psi), reports the percent vacuum relative to atmosphere, and names the regime — rough, medium, high or ultra-high vacuum — so you know which pump and gauge the job needs. Everything is computed locally and deterministically, so it is instant and private. Ideal for vacuum-lab and process apps, pump-sizing and degassing tools, semiconductor and coating calculators, and physics teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 compute endpoints. Ideal estimates — real systems are slowed by outgassing and leaks.
api.oanor.com/vacuum-api
Center of Mass API
Centre-of-mass and barycentre mechanics as an API, computed locally and deterministically. The point-masses endpoint computes the centre of mass of a system of point masses in one, two or three dimensions, applying x_com = Σ(m_i·x_i)/Σm_i to each axis from a list of masses and their x (and optional y and z) coordinates — masses of 1, 2 and 3 at positions 0, 1 and 2 give a centre of mass at 1.333, and four equal masses at the corners of a square sit at its centre. The two-body endpoint computes the barycentre of two masses separated by a distance, r1 = d·m2/(m1+m2) from the first body, which always lies closer to the heavier one — for the Earth-Moon system the barycentre is about 4 670 km from Earth’s centre, still inside the planet. Lists may be passed as comma-separated values (masses=1,2,3&x=0,1,2) or as JSON arrays in a POST body, and units are consistent and unit-agnostic. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics, engineering-statics, astronomy, robotics, game-physics and mechanics-education app developers, balance-point and barycentre tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 2 endpoints. This is the centre of mass; for the rotational moment of inertia use a moment-of-inertia API.
api.oanor.com/centerofmass-api
Frequently asked questions
Quick answers about pricing, quotas, and integration.
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Code snippets
Sign up to get an API key, then call any path under your slug.
curl https://api.oanor.com/doppler-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/doppler-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/doppler-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);
import requests
r = requests.get(
"https://api.oanor.com/doppler-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())
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