Specific Orbital Energie RechnerFormel

## Specific Orbital Energy

**epsilon = -G M / (2a)**

- Negative energy = bound (elliptical) orbit
- Zero = parabolic escape
- Positive = hyperbolic trajectory

This quantity is constant along the entire Keplerian orbit.

Lösungsbeispiel

ISS orbit with semi-major axis a = 6 771 km around Earth.

  1. epsilon = -G M / (2a)
  2. G M = 3.986e14
  3. 2a = 1.354e7
  4. epsilon = -3.986e14 / 1.354e7 ≈ -29.4 MJ/kg