The Mechanical
Engineering Handbook




Delta-V for Hohmann Transfer Calculator














How This Is Calculated



$$ \Delta v_1 = \sqrt{\frac{GM}{r_1} \left( \sqrt{\frac{2 r_2}{r_1 + r_2} - 1} \right)} $$
$$ \Delta v_1 = \sqrt{\frac{GM}{r_2} \left( 1 - \sqrt{\frac{2 r_1}{r_1 + r_2}} \right)} $$ where:

Δv1   =   Delta-V 1   (m/s)

Δv2   =   Delta-V 2   (m/s)

G   =   Gravitational Constant   (6.674 x 10-11m3kg-1s-2)

M   =   Mass of the central body   (kg)

r1   =   Radius of the initial orbit   (m)

r2   =   Radius of the final orbit   (m)


Assumptions



  • The initial and final orbits are circular.
  • The transfer occurs between two concentric orbits around the same central body.
  • The inital and final orbits are coplanaer.
  • Impulses are instantaneous.
  • The system is treated as a two-body problem.

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