PPolySim OS
Use case · powered by Rocket Equation

Rocket Equation for a hypersonic vehicle

Simulate a hypersonic vehicle live in your browser. This runs the real Rocket Equation solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

Rocket Equation (Tsiolkovsky)Live

Controls

Presets

Δv = Isp·g·ln(m₀/mf). Because Δv grows only with the log of the mass ratio, reaching orbit (~9.4 km/s) demands enormous propellant fractions — which is exactly why rockets stage.

▶ Run in Python

Data Inspector

Exhaust velocity2.94 km/s
Δv per stage4.74 km/s
Total Δv4.74 km/s
Reaches LEO?no

Governing equation

Reading this result: Short of orbit by 4.7 km/s. Because Δv scales only with ln(mass ratio), raise Isp, lift the mass ratio, or add a stage rather than just adding propellant.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full Rocket Equation tool models a hypersonic vehicle with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Rocket Equation

Other ways to simulate a hypersonic vehicle

Frequently asked questions

How do I simulate a hypersonic vehicle?
Open this page and use the live Rocket Equation tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?
Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?
Absolutely — every input is adjustable, and with data import you can drive a hypersonic vehicle from your own measurements.