$a = -mu/(2epsilon)$

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This equation computes the semi-major axis, $a,$ from input specific mechanical energy, $epsilon$ , and the Earth Gravitational Constant, $mu$ .

/attachments/bfe8a35f-e3be-11e3-b7aa-bc764e2038f2/SemiMajorAxisusingmu-illustration.png

Notes

The semi-major axis, $a$ , is the distance between the ellipse center and the the apogee point.