◠ Spiral

Continuous-thrust trajectory design. Set two circular orbits, a plane change, and a thruster; see the Δv, transfer time, propellant, and the true trajectory. v0.2 — numerically propagated (RK4) with guidance that circularizes at arrival. Start and end are circular orbits; the path between is the real, generally-eccentric motion. Too much thrust and it can't circularize — it escapes.

Transfer

From the body's center — Earth surface ≈ 6,371 km (LEO ≈ 6,778).
Edelbaum combined altitude + inclination change.
Adds Earth's equatorial-bulge perturbation — watch the orbit plane precess (nodal regression) over many revolutions.

Trajectory

The real trajectory, integrated step by step. Green settles into a circular orbit; red means the thrust is too high to circularize and the orbit escapes. Press play to fly it — the amber arrow is the thrust heading the vehicle points.

t— r— a— e— i—

Result

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Δv
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Transfer time
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Propellant
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Final mass
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Revolutions
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Initial accel