| Stage | Propellant | Dry mass | Isp | Wet mass | Mass ratio | Δv |
|---|
| Mission | Typical Δv needed | This vehicle |
|---|
The Tsiolkovsky rocket equation says everything a rocket can ultimately do comes down to two numbers: how fast it throws mass out the back (effective exhaust velocity, ve = Ispg₀), and what fraction of its total mass is propellant (the mass ratio, m₀/mf). Δv = ve·ln(m₀/mf) — and because it's a logarithm, each additional unit of mass ratio buys steadily less delta-v, which is exactly why real rockets are mostly propellant by mass and why staging (throwing away dead structure once it's empty) is so valuable. The launch animation isn't just interpolating between a start and end number — it integrates that same equation over time as propellant actually burns, which is also why the velocity gain visibly accelerates late in each stage's burn: the rocket is lightest, and therefore most responsive to its thrust, right before it runs out of fuel.
A Falcon-9-like two-stage rocket carrying a 22,800 kg payload to orbit provides about 8.7 km/s of total delta-v from realistic propellant loads and Isp — close to, but a little under, the roughly 9.4 km/s a real launch actually needs once gravity and drag losses during ascent are included, which this idealised vacuum calculation doesn't model.
Every kilogram of empty tank and engine a spent stage carries has to be accelerated right along with the fuel that's still burning — dropping that dead structure the moment it's empty means the next stage only has to accelerate what's actually left, which the logarithm in the rocket equation rewards heavily.
Essentially how efficiently an engine converts propellant mass into thrust — a higher Isp means more delta-v from the same propellant mass. Hydrolox engines run high (~450s) because hydrogen's low molecular mass gives very high exhaust velocity; solid rockets run low (~250s) but make up for it with simplicity and enormous thrust.
Ion engines have superb Isp (1,500–4,000+ seconds) but famously low thrust — often measured in millinewtons — nowhere near enough to overcome a launch vehicle's own weight at liftoff. They're extraordinary for gradually raising an already-orbiting spacecraft's delta-v over months, not for the seconds-to-minutes, high-thrust demands of getting off a planet.
This tool computes the ideal, gravity-free, drag-free delta-v from mass ratios alone — real rockets spend real thrust fighting gravity throughout the whole ascent and pushing through the atmosphere, typically costing an extra 1.5–2 km/s beyond the "just reach orbital velocity" number. The commonly cited ~9.4 km/s LEO figure already has that penalty baked in.