Delta-V Solver

PROPULSION MODELING UNIT

ENGINE CONFIGURATION PRESET

SPECIFIC IMPULSE (ISP IN SECONDS)

WET START MASS (M0 IN KG - WITH PROPELLANT)

DRY STRUCTURAL MASS (Mf IN KG - NO FUEL)

PROPELLANT MASS FRACTION 0%

TSIOLKOVSKY FEED

DELTA-V

TOTAL VELOCITY CAPACITY (Delta v)

0.00

METERS PER SECOND (M/S)

CRITICAL TARGET LOGIC:

AWAITING SYSTEM PARAMETERS

Low Earth Orbit (LEO Injection) Req: ~9,400 m/s

Geostationary Transfer (GTO Node) Req: ~11,800 m/s

Trans-Lunar Injection (Lunar Orbit) Req: ~14,000 m/s

Trans-Mars Injection (Deep Space Node) Req: ~16,100 m/s

NEW HORIZONS MISSION CONTROL • VELOCITY COMPUTATION RUNTIME 2026

Delta-v (Delta v)

The Currency of the Cosmos. Delta-v is the total change in velocity a spacecraft can achieve. It determines whether a mission can reach its destination or remains trapped in the pull of planetary gravity.

🚀 Orbit Entry: Requires approx. 9.4 km/s to reach LEO from Earth.
🚀 Mass Ratio: Effectiveness is limited by the weight of the fuel vs. the ship.
🚀 Specific Impulse: High efficiency engines provide more Delta v per kg of fuel.
🚀 Maneuvers: Used for circularization, transfers, and soft landings.

Mission Potential

9.4 km/s

Required for Earth Orbit

Equation: Δv = Ve * ln(m0/mf)

Propellant: Liquid Oxygen / Methane

Status: Orbital Injection Nominal

ASTRONAUTIC VERIFIED

SPACE CALO

The Math of Flight

The Rocket Equation proves that space is hard. Because of the Natural Logarithm (ln), doubling your fuel does not double your speed. To reach orbit, your rocket must be roughly 90% fuel and only 10% ship.

Δv = ve * ln(m0 / mf)

1. Efficiency (ve): Better engines (like Ion or Methane) give more "kick" per gram.
2. Mass Ratio (m0/mf): The lighter the "dry" ship, the further it goes.
3. The Staging Trick: By dropping empty tanks, we reset mf and "cheat" the math.

                        FUEL
                    

RATIO ACTIVE

Integrating Momentum...

Why Calculate Δv?

Without Delta-v calculations, spaceflight is guesswork. It allows us to determine the Mission Margin—the thin line between a successful landing and becoming Space Junk.

⚠ No Friction: Unlike cars, you only burn fuel to change state.
⚠ The Tyranny: Every kg of fuel costs Δv to carry into the next stage.
⚠ Payload Limit: Δv tells us exactly how many satellites we can carry.

MISSION LOGISTICS

REMAINING Δv 95%

MISSION: MARS TRANSFER

Est. Burn: 3.8 km/s
Payload: 10.5 Tons
Efficiency: 380s Isp

COMPUTE VERIFIED

Engine Efficiency

The Specific Impulse Is(p) is the multiplier for your fuel. A higher I(sp) means you get more Delta-v out of the same amount of mass. While Ion thrusters have the highest I(sp), they have very low thrust—they are the "marathon runners" of space.

[3100s] Ion: 10x more efficient than chemical rockets.
[452s] RS-25: The gold standard for liquid hydrogen.
[380s] Raptor: Optimized for Mars methane production.

PROPULSION SELECTOR

X3 ION THRUSTER 3100s

NASA RS-25 452s

SPACEX RAPTOR 380s

MERLIN 1D 311s

RESULTANT Δv POTENTIAL

HIGH +++

Calculation based on 90% Mass Fraction

Ion Propulsion

The Marathon Runner of space. While chemical rockets are like a 100m sprinter—fast but exhausted in seconds—Ion thrusters "sip" fuel for years, eventually reaching speeds chemical rockets can never match.

✦ Efficiency: 3100s Specific Impulse (10x Chemical).
✦ Exhaust Velocity: Propellant exits at ~90,000 mph.
✦ Mission Life: Can run continuously for 50,000+ hours.
✦ Propellant: Typically uses inert Xenon or Argon gas.

3,100 s

Specific Impulse

XENON CONSUMPTION: 0.003g/s

The RS-25 Engine

The Ultimate Hydrolox Machine. The RS-25 is a masterpiece of engineering that powered the Space Shuttle for 30 years and now drives the SLS Artemis missions to the Moon.

◈ Efficiency: 452s (Theoretical Peak for Chemical Fuel).
◈ Power: Generates 512,000 lbs of thrust in vacuum.
◈ Complexity: Operates at pressures of 3,000 psi.
◈ Heritage: 100% mission success rate over 135 flights.

Hydrolox Peak

452s

VACUUM I_sp

STAGED COMBUSTION

NASA CALO

The Raptor Engine

The Workhorse of Mars. Built for Starship, the Raptor is the first engine to master the Full-Flow Staged Combustion cycle, balancing extreme power with the ability to refuel on other planets.