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Hot Air Balloon Lift API

healthy 4,252 Subscribers

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.

#hot-air-balloon #buoyancy #aviation #physics #lift #developer-tools
api.oanor.com/hotairballoon-api
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Machine-readable spec so AI agents can integrate this API.

/api/hotairballoon-api/openapi.json
/api/hotairballoon-api/llms.txt

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API health

healthy
Uptime
100.00%
Server probes · 24h
Avg latency
78 ms
Server probes · 24h
Subscribers
4,252
active
Total calls
0
last 7 days
status Full status page → · 4 probes/24h

Pricing

Pick a tier — billed monthly, cancel anytime.

Free

Free

  • 9,400 calls / month
  • 2 requests / second
  • Hard cap (429 above quota, no overage)
  • 9,400 calls/month
  • 2 req/sec
  • Lift + required temp + air density
  • No credit card
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Starter

€6.80 /month

  • 91,000 calls / month
  • 6 requests / second
  • Hard cap (429 above quota, no overage)
  • 91,000 calls/month
  • 6 req/sec
  • Payload & nylon-limit check
  • Email support
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Pro

€25.00 /month

  • 372,000 calls / month
  • 15 requests / second
  • Hard cap (429 above quota, no overage)
  • 372,000 calls/month
  • 15 req/sec
  • Ballooning & education pipelines
  • Priority support
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Mega

€77.00 /month

  • 1,700,000 calls / month
  • 40 requests / second
  • Hard cap (429 above quota, no overage)
  • 1,700,000 calls/month
  • 40 req/sec
  • Platform scale
  • Dedicated SLA
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Buoyancy & Flotation API

Archimedes buoyancy and flotation maths as an API, computed locally and deterministically. The buoyancy endpoint computes the buoyant force on a submerged or floating body, Fb = ρ_fluid·g·V_displaced — the upthrust equals the weight of the displaced fluid — from a displaced volume and a fluid (water, seawater, oil, mercury and more, or a custom density), and also gives the mass of displaced fluid; it solves the volume from a known force too. The float endpoint decides whether an object floats, sinks or is neutrally buoyant by comparing its density (given directly, from a built-in material, or as mass divided by volume) with the fluid density, and for a floating object returns the fraction submerged f = ρ_object/ρ_fluid (so 90 % of an iceberg sits below the waterline), or for a sinking object its apparent (underwater) weight. The payload endpoint sizes flotation: the displaced volume needed to float a given load, V = W/(ρ_fluid·g), or the maximum extra payload a floating body of a given volume and density can carry before it submerges, Wmax = (ρ_fluid − ρ_body)·V·g. Everything is computed locally and deterministically, so it is instant and private. Ideal for naval-architecture and marine tools, diving, ROV and ballast apps, raft and pontoon design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is buoyancy and flotation; for pressure at depth and hydrostatic force on a wall use a hydrostatics API.

api.oanor.com/buoyancy-api

Hydrostatic Pressure API

Fluid-statics maths as an API, computed locally and deterministically. The pressure endpoint computes the pressure at a depth in a fluid — the gauge pressure ρ·g·h and the absolute pressure (gauge plus atmospheric) — in pascals, kilopascals, bar, psi and atmospheres, for water, seawater, oil, mercury and more, or a custom density; depths accept metres, feet or centimetres, which makes it handy for diving (about 10 m of seawater adds one atmosphere). The force endpoint computes the resultant hydrostatic force on a submerged vertical rectangular surface — an aquarium wall, a tank side, a dam face or a flood gate — as F = ρ·g·h_c·A from its width and the top and bottom depths, and gives the depth of the centre of pressure, which sits below the centroid. The buoyancy endpoint applies Archimedes' principle, F_b = ρ_fluid·g·V, to give the buoyant force and the displaced mass, and — if you supply the object's density or mass — tells you whether it floats or sinks and what fraction sits below the waterline. Everything is computed locally and deterministically, so it is instant and private. Ideal for civil and marine engineering tools, diving and aquarium apps, tank and dam design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is fluid statics; for pump power and head use a pump API and for pipe flow rate use a pipe-flow API.

api.oanor.com/hydrostatic-api

Aircraft Fuel Planning API

Aircraft fuel-planning maths as an API, computed locally and deterministically — the endurance, range and fuel-required numbers a pilot, dispatcher or flight-sim developer plans a flight with, all honouring a reserve. The endurance endpoint gives how long you can fly = usable fuel ÷ burn rate, holding back a reserve (30 min day / 45 min night VFR, 45 min IFR is typical), so the usable endurance is the time you can actually plan to rather than the tanks-dry figure — 50 gallons at 10 gph is 5:00 total but 4:15 usable on a 45-minute reserve. The range endpoint turns that into distance = usable endurance × ground speed, so it lives or dies on the wind: a headwind cuts the ground speed and the range while burning the same fuel per hour, which is why you plan on the forecast ground speed, not the true airspeed. The fuel-required endpoint sizes the load for a leg = trip time × burn plus the reserve — 300 nm at 120 kt and 10 gph needs 25 gallons of trip fuel plus 7.5 reserve, 32.5 total — to which a real flight adds taxi and climb allowances. Everything is computed locally and deterministically, so it is instant and private. Ideal for flight-planning and EFB apps, dispatch and flight-school tools, flight-simulator utilities, and general-aviation calculators. Pure local computation — no key, no third-party service, instant. Add taxi/climb and a personal margin; confirm against tank capacity and weight-and-balance. 3 compute endpoints. For glide range use a glide-ratio API; for density altitude a density-altitude API.

api.oanor.com/fuelburn-api

Glide Ratio API

Aircraft glide-performance maths as an API, computed locally and deterministically — the glide-distance, glide-ratio and reachability numbers a pilot, flight-instructor or flight-sim developer works an engine-out or soaring problem with. The glide-distance endpoint gives the still-air distance you can cover = height above the ground × the glide ratio (L/D): from 5,000 ft at a 9:1 ratio you reach about 45,000 ft, ~7.4 nm, with the answer in feet, nautical miles and kilometres. The glide-ratio endpoint reads the slope straight off the polar — glide ratio = forward speed ÷ sink rate (1 knot ≈ 101.27 ft/min), so 60 kt at a 600 ft/min sink is about 10:1, a 5.6° glide path — and gliders reach 40–60:1, a light single ~9:1, an airliner ~17:1. The reach endpoint answers the practical question: the height needed to reach a field = distance ÷ glide ratio, the arrival height is what is left, and it only counts as making it if that clears a safety reserve (default 1,000 ft) for the circuit and approach. Everything is computed locally and deterministically, so it is instant and private. Ideal for flight-planning and EFB apps, gliding and soaring tools, flight-simulator and training utilities, and aviation-safety calculators. Pure local computation — no key, no third-party service, instant. Still-air estimates — adjust for wind, configuration and a margin. 3 compute endpoints. For density altitude use a density-altitude API; for runway wind components a crosswind API.

api.oanor.com/glideratio-api

Frequently asked questions

Quick answers about pricing, quotas, and integration.

How do I get an API key for Hot Air Balloon Lift API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Hot Air Balloon Lift API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Hot Air Balloon Lift 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 Hot Air Balloon Lift API cost?
Hot Air Balloon Lift API has a free tier with 100 calls / month. Paid plans start at €6.80 / 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 Hot Air Balloon Lift API GDPR-compliant?
All requests to Hot Air Balloon Lift 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/hotairballoon-api/SOME_PATH \
  -H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/hotairballoon-api/SOME_PATH", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/hotairballoon-api/SOME_PATH");
curl_setopt($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/hotairballoon-api/SOME_PATH",
    headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())

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