Sol-Earth · Interactive Learning

mechanics Module
Interactive Simulation Screen
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Lesson Directive // Orbits & TrajectoriesREF_CORE

Orbital Transfers

aa==r1r_1++r2r_222

Hover over a variable in the formula above, or see glossary below:

aa
Semi-major Axis
Meters or Kilometers
r1r_1
Initial Orbit Radius
Meters or Kilometers
r2r_2
Target Orbit Radius
Meters or Kilometers

To move from one orbit to another, a spacecraft must change its velocity (ΔV). A Hohmann transfer is the most fuel-efficient way to transfer between two circular, coplanar orbits.

INSIGHT: Transferring orbits requires exactly two engine burns.

The Transfer Ellipse

The first burn puts the spacecraft into an elliptical transfer orbit. The lowest point (periapsis) is at the original orbit, and the highest point (apoapsis) touches the target orbit.

INSIGHT: The semi-major axis (a) of this ellipse is the average of the two orbital radii.

Circularizing

When the spacecraft reaches the target altitude, it is moving too slowly to stay there. A second burn is required to circularize the orbit at the new altitude.

INSIGHT: Without the second burn, the spacecraft would fall back to its original orbit.