How far the velocity tilts away from the local horizontal (Curtis section 2.4, pages 73-74, figure 2.12).

Definition

  • Flight-path angle 𝛾: the angle from the local horizontal to the velocity vector
    • local horizontal = perpendicular to 𝐫 in the orbital plane, i.e. along the transverse velocity 𝑣⟂
  • Ratio of radial to transverse velocity:

Flight-Path Angle

Behavior Around the Orbit

  • Flight-path angle vs true anomaly for e = 0.0 to 0.9 (from Dr. Healy's notes)
  • Plot of 𝛾 vs true anomaly 𝜃 for 𝑒=0.0,0.1,…,0.9:
    • 𝑒=0 (circle): 𝛾=0 everywhere
    • 𝛾=0 at perigee (𝜃=0) and apogee (𝜃=180°) for every 𝑒
    • 𝛾>0 (climbing) from perigee to apogee, 𝛾<0 (descending) from apogee back to perigee
    • Larger 𝑒 ⇒ larger peak angle (about ±64° for 𝑒=0.9), reached closer to apogee