Calculadora de Transferência de Hohmann
Calcule a órbita de transferência de Hohmann entre duas órbitas circulares.
First Burn Δv
2,456.58 m/s
First Burn Δv vs Initial Orbit Radius
Formula
## Hohmann Transfer Orbit A Hohmann transfer is the most fuel-efficient two-impulse manoeuvre between two coplanar circular orbits. ### Key Equations 1. **dv1 = v1 (√(2 r2/(r1+r2)) - 1)** 2. **dv2 = v2 (1 - √(2 r1/(r1+r2)))** 3. **Transfer time = π √(a_t³ / (G M))** where a_t = (r1 + r2)/2
Exemplo Resolvido
Transfer from LEO (200 km alt, r1 = 6 571 km) to GEO (r2 = 42 164 km).
- 01v1 = √(GM/r1) ≈ 7 789 m/s
- 02dv1 = 7789 × (√(2×42164/(6571+42164)) - 1) ≈ 2 457 m/s
- 03v2 = √(GM/r2) ≈ 3 075 m/s
- 04dv2 = 3075 × (1 - √(2×6571/(6571+42164))) ≈ 1 478 m/s
- 05Total dv ≈ 3 935 m/s
Perguntas Frequentes
Why is the Hohmann transfer the most efficient?
It uses the minimum total dv of any two-impulse transfer between coplanar circular orbits because burns occur at the apsides, maximising the Oberth effect.
When is a Hohmann transfer impractical?
When the ratio r2/r1 is very large (>11), a bi-elliptic transfer can use less dv, though it takes longer.
Does this account for atmospheric drag?
No. The calculation assumes ideal impulsive burns in a vacuum.