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API · /machnumber-api

Mach Number API

healthy 4,452 Subscribers

Mach-number and compressible-flow aerodynamics as an API, computed locally and deterministically. The mach endpoint computes the local speed of sound a = √(γ·R·T) (air γ = 1.4, R = 287.05 J/(kg·K)) and the Mach number M = v/a from a speed and a static temperature — given directly in °C or kelvin, or derived from a geopotential altitude through the International Standard Atmosphere (troposphere T = 288.15 − 0.0065·h up to 11 km, then the isothermal 216.65 K layer to 20 km) — and classifies the flight regime as subsonic, transonic, supersonic or hypersonic; the speed of sound is about 340.3 m/s at 15 °C and 295 m/s at 11 km. The speed endpoint inverts it, returning v = M·a in m/s, km/h and knots. The stagnation endpoint gives the isentropic total-to-static ratios T0/T = 1 + (γ−1)/2·M², P0/P = (T0/T)^(γ/(γ−1)) and ρ0/ρ = (T0/T)^(1/(γ−1)) — at Mach 2 the total pressure is about 7.82 times the static pressure — and will scale a supplied static temperature and pressure to their stagnation values. Everything is computed locally and deterministically, so it is instant and private. Ideal for aerospace, CFD, flight-simulation, wind-tunnel, UAV and aerodynamics-education app developers, compressible-flow and flight-envelope tools, and engineering software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is compressible aerodynamics; for viscous flow and the Reynolds number use a Reynolds API and for incompressible pressure/velocity a Bernoulli API.

#mach-number #aerodynamics #compressible-flow #speed-of-sound #aerospace #developer-tools
api.oanor.com/machnumber-api
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/api/machnumber-api/openapi.json
/api/machnumber-api/llms.txt

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Mach Number API — live data on the oanor API marketplace

API health

healthy
Uptime
100.00%
Server probes · 24h
Avg latency
77 ms
Server probes · 24h
Subscribers
4,452
active
Total calls
80
last 7 days
status Full status page → · 16 probes/24h

Pricing

Pick a tier — billed monthly, cancel anytime.

Free

Free

  • 4,100 calls / month
  • 2 requests / second
  • Hard cap (429 above quota, no overage)
  • 4,100 calls/month
  • 2 req/sec
  • Mach + speed of sound + stagnation
  • No credit card
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Starter

€6.00 /month

  • 41,000 calls / month
  • 6 requests / second
  • Hard cap (429 above quota, no overage)
  • 41,000 calls/month
  • 6 req/sec
  • ISA altitude, flight regime, knots
  • Email support
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Pro

€17.00 /month

  • 198,000 calls / month
  • 15 requests / second
  • Hard cap (429 above quota, no overage)
  • 198,000 calls/month
  • 15 req/sec
  • CFD & flight-sim pipelines
  • Priority support
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Mega

€52.00 /month

  • 1,160,000 calls / month
  • 40 requests / second
  • Hard cap (429 above quota, no overage)
  • 1,160,000 calls/month
  • 40 req/sec
  • Platform scale
  • Dedicated SLA
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Isentropic compressible-flow (gas-dynamics) maths as an API, computed locally and deterministically. The isentropic endpoint gives the stagnation-to-static ratios of a perfect gas from a Mach number and the heat-capacity ratio γ (1.4 for air): the temperature ratio T0/T = 1 + (γ−1)/2·M², the pressure ratio p0/p = (T0/T)^(γ/(γ−1)), the density ratio and the area ratio A/A* relative to the sonic throat, and classifies the flow as subsonic, sonic or supersonic. The stagnation endpoint turns a static temperature and pressure plus a Mach number into the stagnation (total) conditions, the speed of sound a = √(γRT) and the flow velocity. The mach endpoint inverts the relations, solving the Mach number from a pressure, temperature or area ratio — an area ratio gives both the subsonic and supersonic roots — or from a velocity and temperature. Everything is computed locally and deterministically, so it is instant and private. Ideal for aerospace, propulsion, nozzle-design and wind-tunnel app developers, supersonic-flow and ducting tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is compressible isentropic flow; for the standard atmosphere use an atmosphere API and for incompressible Bernoulli flow a Bernoulli API.

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Frequently asked questions

Quick answers about pricing, quotas, and integration.

How do I get an API key for Mach Number API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Mach Number API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Mach Number API?
Free tier allows 1 request per second. Paid plans scale up to 50 requests per second on the Mega tier. Hard limits return HTTP 429 above the quota — no surprise overage charges.
How much does Mach Number API cost?
Mach Number API has a free tier with 100 calls / month. Paid plans start at €6.00 / month with higher quotas and faster rate limits.
Can I cancel my subscription anytime?
Yes. Plans are billed monthly and you can cancel anytime from your billing dashboard. No long-term contracts and no cancellation fee.
Is Mach Number API GDPR-compliant?
All requests to Mach Number API go through our EU-based gateway. Your upstream API key never leaves our server and no personal data is shared with the upstream provider beyond the request you send.

Pick an endpoint from the list on the left to see its details and try it.

Code snippets

Sign up to get an API key, then call any path under your slug.

curl https://api.oanor.com/machnumber-api/SOME_PATH \
  -H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/machnumber-api/SOME_PATH", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/machnumber-api/SOME_PATH");
curl_setopt($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/machnumber-api/SOME_PATH",
    headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())

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