1 / 24

STATISTICAL ORBIT DETERMINATION Error Ellipsoid B-Plane

STATISTICAL ORBIT DETERMINATION Error Ellipsoid B-Plane. ASEN 5070 LECTURE 32 11/16/09. Example:. Views of Error Ellipsoid. view (0,0)* azimuth =0, elevation =0 view down the negative y -axis. *view(azimuth, elevation), azimuth is a clockwise rotation about the positive z -axis.

toya
Download Presentation

STATISTICAL ORBIT DETERMINATION Error Ellipsoid B-Plane

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. STATISTICALORBIT DETERMINATIONError EllipsoidB-Plane ASEN 5070 LECTURE 32 11/16/09

  2. Example:

  3. Views of Error Ellipsoid view (0,0)* azimuth =0, elevation =0 view down the negative y-axis *view(azimuth, elevation), azimuth is a clockwise rotation about the positive z-axis

  4. Views of Error Ellipsoid view (90°,0) view down the positive x-axis

  5. Views of Error Ellipsoid view (0,90°) view down the positive z-axis

  6. Views of Error Ellipsoid view (-37.5°,0) standard matlab view

  7. Body Plane (B-Plane)

  8. Viking Launch Trajectory

  9. Viking Trajectory

  10. + OD solutions before L + 12h

  11. Viking 1 Departure Control Uncertainty in time of closest approach 25=(212+122)1/2 3s Error ellipse for 1st mid course maneuver

  12. Mars Climate Orbiter (MCO) B-Plane Mars Impact Radius CERTAIN DEATH AMD = Angular Momentum Desaturation

  13. Error Ellipse in the B-plane I. Assume we have done an OD solution at some point, , in the interplanetary phase of the mission and we wish to project our estimation error covariance onto the B-plane (B=Body). • Compute the time of B-plane penetration based on conic motion (this is known as the linearized time of filter, LTOF) • Map P to this time using: • Generally P will be expressed in ECI, J2000 coordinates. Rotate the position portion of into the STR Frame

  14. Error Ellipse in the B-plane 4. Use the 2x2 portion of corresponding to 5. Compute the Eigenvalues and normalized Eigenvectors 6. Compute the semi-major axis and semi-minor axis of the ellipse (x’,y’) and the rotation angle . Plot the 1,2, or 3 error ellipse on the B-plane. For a 2-D error ellipse the probability of being inside the N error ellipse (N=1,2,3…) is given by

  15. Error Ellipse in the B-plane For a bivariate normal distribution: SMAA B-plane 7. The B-plane parameters are chosen because the variation of the and vectors are nearly linear with respect to midcourse orbit parameters.

More Related