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Hohmann Two-Burn Orbital Transfer Trajectory & Delta-V Calculator

Walter Hohmann demonstrated that an elliptical transfer orbit tangent to both initial and final circular orbits minimizes fuel consumption.

Radius from planet center (e.g. 300km LEO = 6678 km)

Target orbit radius (e.g. GEO = 42164 km)

Calculated Result
3.893 km/s

Total Transfer Δv

Transfer Flight Time

5.28 hr

Burn 1 / Burn 2

2.426 / 1.467 km/s

Calculation Breakdown

  1. Hohmann TrajectoryTotal Δv = Δv1 + Δv2 => 3.893 km/s

Delta-V Impulse Breakdown

Interactive visualization based on your current inputs

Δv
0.01.01.92.93.9Burn 1 (LEO Departure)Burn 2 (GEO Insertion)Total TransferBurnΔv (km/s)

What Is the Hohmann Two-Burn Orbital Transfer Trajectory & Delta-V Calculator?

Walter Hohmann demonstrated that an elliptical transfer orbit tangent to both initial and final circular orbits minimizes fuel consumption.

It uses two tangential burns: the first raises the apoapsis to target altitude, and the second circularizes the orbit.

How Does the Hohmann Two-Burn Orbital Transfer Trajectory & Delta-V Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Hohmann Two-Burn Orbital Transfer Trajectory & Delta-V Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\Delta v_1 = \sqrt{\frac{\mu}{r_1}} \left( \sqrt{\frac{2 r_2}{r_1 + r_2}} - 1 \right), \quad \Delta v_2 = \sqrt{\frac{\mu}{r_2}} \left( 1 - \sqrt{\frac{2 r_1}{r_1 + r_2}} \right)

Hohmann velocity impulses at periapsis and apoapsis.

How to Use the Hohmann Two-Burn Orbital Transfer Trajectory & Delta-V Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

LEO to Geosynchronous Transfer (GTO)

Input Values:

initialOrbitRadiusKm:6678
finalOrbitRadiusKm:42164

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Uses Earth standard gravitational parameter μ = 398600.44 km³/s².

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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