How do you move a spacecraft to a higher orbit for the least fuel? The Hohmann transfer: one burn onto an ellipse, a second to circularize. See both Δv costs.
Orbital Transfer (Hohmann)Live
minimum-energy orbit change
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The Hohmann transfer is the fuel-cheapest way between two circular orbits: one burn to enter the transfer ellipse, one to circularize. See the two Δv costs.
Reading this result: A moderate transfer (90 → 200, ~2.2×): burn 1 (1.64) enters the ellipse, burn 2 (1.34) circularizes. Bigger ratios cost more total Δv (2.99) and coast longer (61.3).
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How it works
The Hohmann transfer is the minimum-energy maneuver between two circular orbits. This tool draws the transfer ellipse and computes each burn from the vis-viva equation, so you can see how the delta-v budget grows with the orbit-radius ratio — core to every mission plan.
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The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.