• Login
    View Item 
    •   Home
    • UA Graduate and Undergraduate Research
    • UA Theses and Dissertations
    • Master's Theses
    • View Item
    •   Home
    • UA Graduate and Undergraduate Research
    • UA Theses and Dissertations
    • Master's Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UA Campus RepositoryCommunitiesTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournal

    My Account

    LoginRegister

    About

    AboutUA Faculty PublicationsUA DissertationsUA Master's ThesesUA Honors ThesesUA PressUA YearbooksUA CatalogsUA Libraries

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Relative Orbital Motion Dynamical Models for Orbits about Nonspherical Bodies

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    azu_etd_16348_sip1_m.pdf
    Size:
    3.576Mb
    Format:
    PDF
    Download
    Author
    Burnett, Ethan Ryan
    Issue Date
    2018
    Keywords
    aerospace
    asteroids
    astrodynamics
    celestial mechanics
    orbital mechanics
    spacecraft
    Advisor
    Butcher, Eric A.
    
    Metadata
    Show full item record
    Publisher
    The University of Arizona.
    Rights
    Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
    Abstract
    Relative orbital motion dynamical models are presented and discussed. Two types of models are primarily discussed in this work: a linear relative motion model accounting for J2 (the gravitational parameter associated with the oblateness of the Earth), and a new linear relative motion model accounting for both nonzero second degree and order gravity terms C20 = - J2 and C22. The latter model, referred to as the ``second-order model,'' is useful for simulating and studying spacecraft relative motion in orbits about uniformly rotating asteroids. This model is derived in two alternate forms. The first makes use of averaging in the kinematics and the second avoids any use of averaging. Additional work is devoted to analyzing the stability of relative orbital motion in rotating second degree and order gravity fields. To facilitate this, a parameter called the ""relative orbit angular momentum"" is introduced. For commensurate angular rates of primary body rotation and orbital mean motion, a special case linear time-invariant (LTI) model is obtained from the unaveraged second-order model. This is connected to the topic of libration points in the body frame of rotating gravitating triaxial ellipsoids, and shown to successfully predict the instability of libration points collinear with the long axis and the stability of libration points collinear with the short axis. Analytical and numerical results confirm the accuracy of all models discussed.
    Type
    text
    Electronic Thesis
    Degree Name
    M.S.
    Degree Level
    masters
    Degree Program
    Graduate College
    Aerospace Engineering
    Degree Grantor
    University of Arizona
    Collections
    Master's Theses

    entitlement

     
    The University of Arizona Libraries | 1510 E. University Blvd. | Tucson, AZ 85721-0055
    Tel 520-621-6442 | repository@u.library.arizona.edu
    DSpace software copyright © 2002-2017  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.