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meetings - Space Flight Mechanics Committee

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Feb 13, 2013 Kauai Salon 1<br />

SESSION 17: SPACE SITUATIONAL AWARENESS AND CONJUNCTION ANALYSIS -- I<br />

Chair: Dr. Daniel Scheeres, University of Colorado<br />

8:00 AAS Collision Probability for Resident <strong>Space</strong> Objects using Gaussian Mixture<br />

13-351 Models<br />

Vivek Vittaldev, The University of Texas at Austin; Ryan Russell, The University of<br />

Texas at Austin<br />

Computation of space object collision probability plays a large role in the spacecraft<br />

community. The number of active satellites and debris is increasing day by day, which leads<br />

to a very realistic chance of a runoff. In general, the methods in practice for computing<br />

collision probability require that the uncertainty distributions be represented with a<br />

linearized position covariance; otherwise Monte Carlo simulations are required, which are<br />

very computationally intensive. Our goal is to improve the accuracy of the covariance<br />

propagation phase by using Gaussian Mixture Models, and to thus better approximate the<br />

non-linear probability distribution resulting near the encounter.<br />

8:20 AAS Determining a Probability-based Distance Threshold for Conjunction<br />

13-352 Screening<br />

Salvatore Alfano, Center for <strong>Space</strong> Standards and Innovation<br />

Various economizing filters are used to identify orbiting pairs that cannot come close<br />

enough over a prescribed time period to be considered hazardous. Such pairings can then be<br />

eliminated from further computation to quicken the overall processing time. When<br />

conjunction probability is to be used as a metric, a minimum distance threshold can be<br />

determined from the minimum acceptable probability threshold. This work develops an<br />

analytical approximation that relates maximum probability to a miss distance threshold,<br />

thereby ensuring that the screening distance is adequate for probability-based conjunction<br />

assessment.<br />

8:40 AAS Insertion Error and Conjunction Analysis for Single-Launch, Large Scale<br />

13-353 <strong>Space</strong> System<br />

Andrew Rogers, Virginia Polytechnic Institute and State University; Matthew<br />

Schmitt, Virginia Polytechnic Institute and State University; Troy Henderson,<br />

Virginia Polytechnic Institute and State University; Scott Bailey, Virginia<br />

Polytechnic Institute and State University; Chad Fish, Virginia Polytechnic Institute<br />

and State University<br />

The deployment of large-scale, multi-satellite space systems from a single launch vehicle<br />

offers an attractive platform for scientific observations. By deploying the satellites in a<br />

string of pearls configuration initially, with a small spread in semi-major axis and<br />

inclination, the natural orbit dynamics cause the orbits to spread, leading to global coverage<br />

Page 66<br />

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

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