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On the Kinematics of Vehicles Relevant to Conflict Detection and Resolution
Joint Authors
Campos, L. M. B. C.
Marques, Joaquim Guerreiro
Source
Journal of Advanced Transportation
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The paper presents methods to determine the time, positions, and distance of closest approach for two vehicles following arbitrary trajectories in two or three dimensions.
The distance of closest approach of two vehicles following arbitrary curved trajectories is determined by two conditions: (i) the relative velocity must be orthogonal to the relative position in order for the distance to be a nonzero extremum; (ii) the radial acceleration including centripetal terms must have a direction that increases the separation for the extremum to be a minimum.
This theorem on the distance of closest approach simplifies in the case of uniform motion along rectilinear trajectories.
Three examples are given: (i) the two-dimensional motion of surface vehicles changing the velocity of one of them so as to enforce a given minimum separation distance; (ii) the three-dimensional motion of two aircraft, one flying horizontally and the other climbing, changing the vertical velocity of the latter to ensure a minimum separation distance set “a priori”; (iii) the case of an aircraft flying with constant velocity in a straight line so that its closest approach to another aircraft flying in a circular holding pattern in the same plane occurs at a given time chosen “a priori”.
American Psychological Association (APA)
Campos, L. M. B. C.& Marques, Joaquim Guerreiro. 2018. On the Kinematics of Vehicles Relevant to Conflict Detection and Resolution. Journal of Advanced Transportation،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1181105
Modern Language Association (MLA)
Campos, L. M. B. C.& Marques, Joaquim Guerreiro. On the Kinematics of Vehicles Relevant to Conflict Detection and Resolution. Journal of Advanced Transportation No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1181105
American Medical Association (AMA)
Campos, L. M. B. C.& Marques, Joaquim Guerreiro. On the Kinematics of Vehicles Relevant to Conflict Detection and Resolution. Journal of Advanced Transportation. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1181105
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181105