Hohmann Transfer
Also known as: Hohmann-Vallado transfer, two-impulse maneuver
The Hohmann transfer is a maneuver that transfers a spacecraft between two circular orbits using two impulsive burns (velocity changes). Introduced by German engineer Walter Hohmann in 1925, it is the most fuel-efficient method for coplanar orbital transfers when the transfer time is not severely constrained. The transfer orbit is an ellipse tangent to both the initial and final orbits.
Key highlights
- Minimum fuel consumption for coplanar, two-impulse transfers between circular orbits
- Simple to compute; well-documented formulas and algorithms
- Predictable and well-understood by mission planners
- Widely used standard in spaceflight and mission design
Intuition
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How it works
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When to use it
Use Hohmann transfer for economical orbital insertions when fuel efficiency is the primary goal and transfer time is not critical. It is ideal for interplanetary missions, launching from Earth to reach Mars or Venus, or maneuvering between satellite constellations. Avoid when rapid transfer is needed (use bi-elliptic or fast transfers) or when orbits are not coplanar.
Strengths & limitations
- Minimum fuel consumption for coplanar, two-impulse transfers between circular orbits
- Simple to compute; well-documented formulas and algorithms
- Predictable and well-understood by mission planners
- Widely used standard in spaceflight and mission design
- Slow transfer time, especially for distant destinations (e.g., Earth-to-Mars ~9 months)
- Only optimal for two-impulse transfers; more burns can be more efficient
- Requires coplanar orbits; inclination changes require additional maneuvers
- Not optimal if transfer time is constrained or if orbits are highly elliptical
Common pitfalls
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Applications
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Frequently asked
Why is Hohmann transfer fuel-optimal?
It places the velocity changes at points of greatest orbital energy conversion. The two impulses are applied tangentially at the perihelion and aphelion of the ellipse, maximizing specific orbital energy gain per unit Δv.
When is a bi-elliptic transfer more efficient?
When the orbit ratio r₂/r₁ exceeds approximately 4–5, a bi-elliptic transfer (three burns) can use less total Δv at the cost of a longer transfer time.
How long does a Hohmann transfer take?
The transfer time is half the orbital period of the transfer ellipse: T_transfer = π√(a³/μ), where a = (r₁ + r₂)/2 is the semi-major axis.
Sources
- 1.Hohmann, W. (1925). Die Erreichbarkeit der Himmelskörper. R. Oldenbourg.
- 2.Curtis, H. D. (2013). Orbital Mechanics for Engineering Students (3rd ed.). Butterworth-Heinemann.ISBN 978-0-08-102133-0
- 3.Vallado, D. A., Crawford, P., Hujsak, R., & Kelso, T. S. (2006). Revisiting Spacetrack Report #3: Orbit Determination using Modern Computers. In AIAA/AAS Astrodynamics Specialist Conference.
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Cite this page
ScholarGate. (2026, June 3). Hohmann Transfer. ScholarGate. https://scholargate.app/applied-physics/hohmann-transfer