國立虎尾科技大學 |

Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination./
Author:	Ertl, Christopher Allen.
Description:	1 online resource (123 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
Contained By:	Dissertations Abstracts International84-12B.
Subject:	Aerospace engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9798379612191

Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination.
Ertl, Christopher Allen.

Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination. - 1 online resource (123 pages)

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2023.

Includes bibliographical references

With the birth of Space Situational Awareness from the launch of the Russian satellite, Sputnik I, humanity has found it necessary to develop methods to determine the navigational state of man-made objects orbiting the Earth for avoidance and tracking purposes. With the ever-increasing number of unknown objects both ground-based and orbiting, the necessity of these methods has never been greater. This work seeks to further the fields of Spacecraft Navigation and Space Situation Awareness with the development of three novel solutions to the geolocation and initial orbit determination problems. The first method is a geolocation technique utilizing both time-based and frequency-based measurements from the signal of a ground-based Radio frequency (RF) transmitter. Our second method derives two initial orbit determination techniques using concurrent TDOA and range-rate measurements from the signal of an orbiting RF transmitter. The final method discussed in this work is an initial relative orbit determination method using range-rate measurements and the linearized Clohessy Wiltshire dynamics. Each method derives its solution from a polynomial system solved using an algebraic geometry technique called homotopy continuation theory. Each method is verified using simulation results for multiple scenarios.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798379612191Subjects--Topical Terms:

686400
Aerospace engineering.
Subjects--Index Terms:

Space Situation AwarenessIndex Terms--Genre/Form:

554714
Electronic books.

Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination.
LDR:02816ntm a22004217 4500 001 1143564
005 20240517104600.5
006 m o d
007 cr mn ---uuuuu
008 250605s2023 xx obm 000 0 eng d
020 $a 9798379612191
035 $a (MiAaPQ)AAI30318007
035 $a AAI30318007
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Ertl, Christopher Allen. $3 1468287
245 1 0 $a Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination.
264 0 $c 2023
300 $a 1 online resource (123 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
500 $a Advisor: Christian, John A., III.
502 $a Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2023.
504 $a Includes bibliographical references
520 $a With the birth of Space Situational Awareness from the launch of the Russian satellite, Sputnik I, humanity has found it necessary to develop methods to determine the navigational state of man-made objects orbiting the Earth for avoidance and tracking purposes. With the ever-increasing number of unknown objects both ground-based and orbiting, the necessity of these methods has never been greater. This work seeks to further the fields of Spacecraft Navigation and Space Situation Awareness with the development of three novel solutions to the geolocation and initial orbit determination problems. The first method is a geolocation technique utilizing both time-based and frequency-based measurements from the signal of a ground-based Radio frequency (RF) transmitter. Our second method derives two initial orbit determination techniques using concurrent TDOA and range-rate measurements from the signal of an orbiting RF transmitter. The final method discussed in this work is an initial relative orbit determination method using range-rate measurements and the linearized Clohessy Wiltshire dynamics. Each method derives its solution from a polynomial system solved using an algebraic geometry technique called homotopy continuation theory. Each method is verified using simulation results for multiple scenarios.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Aerospace engineering. $3 686400
650 4 $a Remote sensing. $3 557272
650 4 $a Mechanical engineering. $3 557493
653 $a Space Situation Awareness
653 $a Geolocation
653 $a Initial orbit determination
653 $a Polynomial systems
653 $a Range-rate
653 $a TDOA
653 $a Radio frequency transmitter
655 7 $a Electronic books. $2 local $3 554714
690 $a 0538
690 $a 0548
690 $a 0799
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Rensselaer Polytechnic Institute. $b Aeronautical Engineering. $3 1179171
773 0 $t Dissertations Abstracts International $g 84-12B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30318007 $z click for full text (PQDT)