Hohmann Transfer Orbit Calculator

Calculate the delta-v and transfer time for a Hohmann transfer orbit between two circular orbits. Essential for orbital mechanics and space mission planning.

TOTAL DELTA-V
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First Burn Δv
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Second Burn Δv
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Transfer Time
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Semi-major Axis
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What Is a Hohmann Transfer?

A Hohmann transfer orbit is the most fuel-efficient two-impulse maneuver to move between two coplanar circular orbits. Developed by Walter Hohmann in 1925, it uses an elliptical transfer orbit that is tangent to both the initial and final circular orbits. Two engine burns are required: one to enter the transfer ellipse and one to circularize at the destination orbit.

The Hohmann transfer is widely used in space mission planning, particularly for satellite deployment to geostationary orbit and interplanetary missions. While it minimizes fuel usage, it is also the slowest two-burn transfer. Faster transfers require more delta-v.

Hohmann Transfer Equations

Δv₁ = √(μ/r₁) × (√(2r₂/(r₁+r₂)) - 1)
Δv₂ = √(μ/r₂) × (1 - √(2r₁/(r₁+r₂)))
Transfer time = π × √(a³/μ)

Common Transfers

TransferTotal ΔvTime
LEO to GEO3.94 km/s5.3 hours
Earth to Mars5.59 km/s259 days
Earth to Venus5.24 km/s146 days

Frequently Asked Questions

Why is the Hohmann transfer most efficient?

The Hohmann transfer fires engines at the optimal points (perigee and apogee of the transfer ellipse) where the Oberth effect maximizes the energy gained per unit of fuel. Burns at these tangent points change only speed, not direction, minimizing wasted energy on direction changes.

When is a Hohmann transfer not optimal?

When the ratio of final to initial orbit radius exceeds about 11.94, a bi-elliptic transfer actually requires less delta-v despite taking longer. Also, when transfer time is critical (crewed missions), direct or fast transfers using more fuel may be preferred over the slow Hohmann trajectory.