रॉकेट डेल्टा-V कैलकुलेटर — सूत्र

Rocket Delta-V (Tsiolkovsky Equation)

Delta-v is the total change in velocity a rocket can achieve by expelling all its propellant.

Formula

dv = ve * ln(m0 / mf)

  • *ve* = effective exhaust velocity
  • *m0* = initial (wet) mass
  • *mf* = final (dry) mass
  • *ln* = natural logarithm

    • The logarithmic dependence means that most of a rocket's mass must be propellant to achieve high delta-v.

    हल किया गया उदाहरण

    ve = 3000 m/s, m0 = 100 000 kg, mf = 10 000 kg.

    1. dv = ve * ln(m0 / mf)
    2. mass ratio = 100000 / 10000 = 10
    3. dv = 3000 * ln(10)
    4. dv = 3000 * 2.3026 = 6907.8 m/s