Calcolatore Costo Manovra Orbitale — Formula

## Hohmann Transfer Delta-V

The Hohmann transfer is the most fuel-efficient two-burn manoeuvre between coplanar circular orbits.

### Formulas

**dv1 = sqrt(GM/r1) * [sqrt(2r2/(r1+r2)) - 1]**

**dv2 = sqrt(GM/r2) * [1 - sqrt(2r1/(r1+r2))]**

Total delta-v is the sum of both burns.

Esempio Risolto

LEO (200 km, r1 = 6571 km) to GEO (r2 = 42164 km) around Earth.

  1. v1 = sqrt(GM/r1) = sqrt(3.986e14 / 6.571e6) = 7788 m/s
  2. dv1 = 7788 * (sqrt(2*42164/(6571+42164)) - 1) = 2457 m/s
  3. v2 = sqrt(GM/r2) = sqrt(3.986e14 / 4.216e7) = 3075 m/s
  4. dv2 = 3075 * (1 - sqrt(2*6571/(6571+42164))) = 1478 m/s
  5. Total dv = 2457 + 1478 = 3935 m/s