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Solutions and Analysis of Multivaria...

Ertl, Christopher Allen.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination./
Author:	Ertl, Christopher Allen.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2023,
Description:	123 p.
Notes:	Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
Contained By:	Dissertations Abstracts International84-12B.
Subject:	Aerospace engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30318007
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. - Ann Arbor : ProQuest Dissertations & Theses, 2023 - 123 p.

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

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

This item must not be sold to any third party vendors.

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.

ISBN: 9798379612191Subjects--Topical Terms:

1002622
Aerospace engineering.
Subjects--Index Terms:

Space Situation Awareness

Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination.
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100 1 $a Ertl, Christopher Allen. $0 (orcid)0000-0002-9010-1686 $3 3764974
245 1 0 $a Solutions and Analysis of Multivariate Polynomial Systems for Geolocation and Initial Orbit Determination.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2023
300 $a 123 p.
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.
506 $a This item must not be sold to any third party vendors.
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.
590 $a School code: 0185.
650 4 $a Aerospace engineering. $3 1002622
650 4 $a Remote sensing. $3 535394
650 4 $a Mechanical engineering. $3 649730
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
690 $a 0538
690 $a 0548
690 $a 0799
710 2 $a Rensselaer Polytechnic Institute. $b Aeronautical Engineering. $3 2093993
773 0 $t Dissertations Abstracts International $g 84-12B.
790 $a 0185
791 $a Ph.D.
792 $a 2023
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30318007