MAE142_Lecture6

MAE142_Lecture6 - Translational Velocity Local Velocity...

This preview shows pages 1–4. Sign up to view the full content.

Translational Velocity Local Velocity Trajectory Simulation Plotting in KML MAE 142 SR-71 (NASA Image)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 MAE 142 Ellipsoidal Earth Model The time rate-of-change in vehicle position over an ellipsoidal Earth model (such as the WGS-84 reference ellipse) is computed using the following equations: ˙= V N R x h ˙ = V E R y h cos ˙ h =− V D R x = a 1 e 2 [ 1 e 2 sin 2 ] 3 / 2 R y = a [ 1 e 2 sin 2 ] 1 / 2 = latitude = longitude h = altitude above ellipse V N = velocity north V E = velocity east V D = velocity down a = Earth semimajor axis e = eccentricity a Rx Ry Equator 6378 km 6335 km 6378 km Poles 6378 km 6399 km 6399 km
MAE 142 Spherical Earth Model An average Earth radius (R E ) is typically used for the spherical Earth approximation. ˙= V N R E h ˙ = V E R E h cos ˙ h =− V D = latitude = longitude h = altitude above ellipse R E 6367 km V N = velocity north V E = velocity east V D = velocity down

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 10

MAE142_Lecture6 - Translational Velocity Local Velocity...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online