1. What is Delta V?

Delta V (Δv) is a measure of a spacecraft's capability to change its velocity. It's crucial for mission planning in Kerbal Space Program and real-world rocketry, determining what maneuvers and destinations are possible.

2. How Does the Calculator Work?

The calculator uses the Tsiolkovsky rocket equation:

Where:

• \( \Delta v \) — Change in velocity (m/s)
• \( v_e \) — Effective exhaust velocity (m/s)
• \( m_0 \) — Initial total mass including propellant (kg)
• \( m_f \) — Final mass after propellant is expended (kg)
• \( \ln \) — Natural logarithm function

Explanation: The equation shows how the achievable velocity change depends on the rocket's exhaust velocity and mass ratio.

3. Importance of Delta V Calculation

Details: Accurate Δv calculation is essential for mission planning in KSP. Different maneuvers require specific amounts of Δv (e.g., ~3400 m/s to reach Kerbin orbit, ~860 m/s for Mun transfer).

4. Using the Calculator

Tips: Enter effective exhaust velocity in m/s (or specific impulse × 9.81), initial mass and final mass in kg. All values must be positive with initial mass > final mass.

5. Frequently Asked Questions (FAQ)

Q1: How is exhaust velocity related to specific impulse?
A: Specific impulse (Isp) in seconds × standard gravity (9.81 m/s²) gives effective exhaust velocity (v_e).

Q2: What are typical Δv requirements in KSP?
A: Example values: Kerbin orbit ~3400 m/s, Mun landing ~5800 m/s total, Duna transfer ~1300 m/s.

Q3: How can I increase my rocket's Δv?
A: Use engines with higher Isp, increase mass ratio (more fuel/less dry mass), or stage your rocket.

Q4: Why does the equation use natural logarithm?
A: The logarithmic relationship comes from the exponential nature of mass reduction as fuel burns.

Q5: Can I calculate Δv for multiple stages?
A: Yes, calculate Δv for each stage separately and sum them for total Δv.