डेल्टा-V कैलकुलेटर
कक्षीय पैंतरे के लिए डेल्टा-V निकालें।
m/s
kg
kg
Delta-v
6,907.76 m/s
Mass Ratio10.0000
Delta-v vs Effective Exhaust Velocity
सूत्र
## The Tsiolkovsky Rocket Equation **dv = v_e * ln(m0 / mf)** - *v_e* = effective exhaust velocity (or Isp × g0) - *m0* = initial mass with propellant - *mf* = final mass after burn - *ln* = natural logarithm The mass ratio m0/mf determines how much velocity change is possible.
हल किया गया उदाहरण
A stage: v_e = 3000 m/s, wet mass 100 000 kg, dry mass 10 000 kg.
- 01dv = v_e × ln(m0 / mf)
- 02Mass ratio = 100000 / 10000 = 10
- 03ln(10) ≈ 2.3026
- 04dv = 3000 × 2.3026 ≈ 6 908 m/s
अक्सर पूछे जाने वाले प्रश्न
What is specific impulse?
Specific impulse (Isp) measures engine efficiency in seconds. v_e = Isp × 9.80665 m/s².
Why is the rocket equation exponential?
The rocket must accelerate the remaining propellant too. Doubling dv requires squaring the mass ratio.
How do multi-stage rockets help?
Staging discards empty tanks so each stage does not accelerate dead weight, improving the effective mass ratio.