NDLI: Pointing

Content Provider	IEEE Xplore Digital Library
Author	Bar-Itzhack, I.Y. Hershkowitz, D. Rodman, L.
Copyright Year	1996
Description	Author affiliation: Flight Mech. Branch, NASA Goddard Space Flight Center, Greenbelt, MD, USA (Bar-Itzhack, I.Y.)
Abstract	In this work we treat the following problem. Given two vectors of same length, find an orthogonal transformation that transforms one to the other. This problem arises in different engineering categories. In particular, this problem arises in aerospace engineering where it is called pointing problem. In this paper we establish the theoretical background of the pointing problem in n and thus also in 3-D. We give a straightforward solution to this problem, but since it is not unique we widen the scope of the problem, define the notions of minimal pointing and optimal pointing, and require that the sought matrix be, not only orthogonal, but also a minimal, or an optimal, pointing. We then give an illustrative solution in 3-D and then extend the solution to n-D using two different approaches which we present and prove. Several examples are given in 3-D and 4-D. The 3-D examples are used to illustrate the characteristics of the solution.
Starting Page	3139
Ending Page	3144
File Size	511569
Page Count	6
File Format	PDF
ISBN	0780335902
ISSN	01912216
DOI	10.1109/CDC.1996.573611
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-12-13
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Space technology NASA Mathematics Aerospace engineering Educational institutions Councils Government Protection
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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