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Paper Abstract and Keywords
Presentation 2013-01-25 14:30
A study on approximation of flight trajectory by means of piecewise polynomials and conflict detection
Masato Fujita (ENRI) SANE2012-145
Abstract (in Japanese) (See Japanese page) 
(in English) Studies/Developments on trajectory based operation, in which 4D-trajectories of aircraft are controlled accuately, have been
conducted so as to meet the increasing air traffic demand and realize
efficient operations in this circumstance. As a part of these studies, automatic detection and resolution algorithms for potential conflicts in about 20 minutes are also studied.

We first discussed about whether aircraft trajectories are approximated
by piecewise polynomials. We developed a new conflict detection algorithm based on Strum's theorem, which claims the number of real roots of a univariate polynomial. It assumes that aircraft trajectories are approximated by piecewise polynomials and the uncertainty in the time of arrival is negligible. Finally, we applied the algorithm into a simple case where this uncertainty is not negligible, and showed the potential of this algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) Air traffic management / Trajectory-based operation / Conflict detection / Piecewise polynomial model / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 391, SANE2012-145, pp. 109-114, Jan. 2013.
Paper # SANE2012-145 
Date of Issue 2013-01-17 (SANE) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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reproduction
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee SANE  
Conference Date 2013-01-24 - 2013-01-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagasaki Prefectural Art Museum 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Positioning, navigation and general 
Paper Information
Registration To SANE 
Conference Code 2013-01-SANE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A study on approximation of flight trajectory by means of piecewise polynomials and conflict detection 
Sub Title (in English)  
Keyword(1) Air traffic management  
Keyword(2) Trajectory-based operation  
Keyword(3) Conflict detection  
Keyword(4) Piecewise polynomial model  
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1st Author's Name Masato Fujita  
1st Author's Affiliation Electronic Navigation Research Institute (ENRI)
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Speaker Author-1 
Date Time 2013-01-25 14:30:00 
Presentation Time 25 minutes 
Registration for SANE 
Paper # SANE2012-145 
Volume (vol) vol.112 
Number (no) no.391 
Page pp.109-114 
#Pages
Date of Issue 2013-01-17 (SANE) 


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