NaNa Lab EngineeringE053 · Space

ONE FORMULA, ONE ANSWER

Hohmann Transfer Total Delta V Calculator

Calculate the total impulsive speed change between coplanar circular orbits. Choose input units and calculate one value within the stated conditions.

Inputs

Greater than zero after conversion to SI

Greater than zero after conversion to SI

Greater than zero after conversion to SI

Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.

Result

Total two-impulse delta v

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Enter values and select Calculate.

FORMULA

Δv = |√(μ/r₁)(√(2r₂/(r₁+r₂))−1)| + |√(μ/r₂)(1−√(2r₁/(r₁+r₂)))|

Assumptions

Required: μ,r₁,r₂>0 and coplanar circular orbits around the same body. Radii are center distances. Excluded: plane changes, atmosphere, finite burns and propellant mass. Only the sum of the two impulse magnitudes is returned.

Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.

Formula references and credits

NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.

Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.

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