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meetings - Space Flight Mechanics Committee

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Feb 14, 2013 Kauai Salon 1<br />

SESSION 25: SPACE SITUATIONAL AWARENESS AND CONJUNCTION ANALYSIS -- II<br />

Chair: Dr. Ryan Russell, University of Texas at Austin<br />

8:00 AAS Application of a Laser Rangefinder for <strong>Space</strong> Object Imaging and Shape<br />

13-429 Reconstruction<br />

Michael Nayak, <strong>Space</strong> Development & Test Directorate, US Air Force; Bogdan<br />

Udrea, Embry-Riddle Aeronautical University<br />

This paper investigates the application of a laser rangefinder (LRF) for generation of a point<br />

cloud of a Resident <strong>Space</strong> Object (RSO), with sufficient resolution to provide comparable<br />

registration and shape reconstruction to an imaging LIDAR, for an SSA mission scenario.<br />

We examine a method that employs a combination of relative motion between the chaser<br />

and RSO & chaser attitude motion to perform 3D RSO imaging. These techniques are<br />

applied to reconstructing asteroid 1999-RQ36, of interest to NASA’s OSIRIS-REx mission,<br />

and RSOs shaped as generic geostationary telecommunications satellites, and validated with<br />

inclusion of stochastic & pulse-dilation error models.<br />

8:20 AAS Sensitivity Analysis of the Lightcurve Measurement Model for Use in Attitude<br />

13-430 and Shape Estimation of Resident <strong>Space</strong> Objects<br />

Laura Henderson, The University of Texas at Arlington; Kamesh Subbarao, The<br />

University of Texas at Arlignton<br />

This paper will focus on a recently used light curve measurement model that was based on<br />

developments in the computer graphics area and the information contained therein to<br />

evaluate the model's effectiveness in characterizing the attitude, angular velocty and shape<br />

parameters of an RSO. This evaluation will be performed using synthetic measurements<br />

generated for representative object attitude maneuvers. Numerical sensitivities (observation<br />

matrix) will be computed and a detailed study will be conducted to study the information<br />

present in this measurement.<br />

8:40 AAS Comparing the Reid Cost to the Mahalanobis Distance for Uncorrelated<br />

13-433 Track Association<br />

Cornelius Chow, Pacific Defense Solutions, LLC.; Keric Hill, Pacific Defense<br />

Solutions, LLC.; Joshua Horwood, Numerica Corporation; Chris Sabol, Air Force<br />

Maui Optical and Supercomputing<br />

A central problem faced by the space surveillance community is the problem of track-totrack<br />

association. Under Gaussian assumptions a track state can be characterized by its first<br />

two moments (mean and covariance). As such, the Mahalanobis distance is commonly used<br />

to parametrize the correlation of data sets. However, naive summations of information yield<br />

large association hypervolumes that increase the likelihood of false alarms. The Reid cost<br />

instead scales the product of the probability densities of both tracks by a third fused<br />

estimate. Simulations of 1000 space objects show tremendous improvement in resolving<br />

associations when using Reid’s function.<br />

23 rd AAS / AIAA <strong>Space</strong> <strong>Flight</strong> <strong>Mechanics</strong> Meeting Page 91

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