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Attitude determination from triaxial ellipsoid of unknown orientation

dc.rights.licenseCC BY-NC-ND. Users may download and share copies with attribution in accordance with a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License. No commercial use or derivatives are permitted without the explicit approval of the author.
dc.contributorChristian, John
dc.contributorAnderson, Kurt S.
dc.contributorWen, John T.
dc.contributor.authorWaldecker, Cody
dc.date.accessioned2021-11-03T09:22:57Z
dc.date.available2021-11-03T09:22:57Z
dc.date.created2021-02-24T14:36:20Z
dc.date.issued2020-12
dc.identifier.urihttps://hdl.handle.net/20.500.13015/2641
dc.descriptionDecember 2020
dc.descriptionSchool of Engineering
dc.description.abstractPresented is the derivation for the rotation matrix describing the principal axis of a celestial body of unknown attitude relative to a spacecraft of known attitude. Through the use of the lit limb of an ellipsoidal body and the body’s principal axis, a modified orthogonal Procrustes problem can be solved for attitude determination. Due to the natural symmetry of triaxial ellipsoids, the solution method presents a twofold equivocacy in the attitude of the observed body. In addition, it presents a different method for mapping the quadric surface of an ellipsoidal body to the projection on an image plane. Then, through matrix factorization, the position relative to the celestial body can be derived. The method presented offers an exact solution and avoids the error associated with ellipse fitting an image.
dc.language.isoENG
dc.publisherRensselaer Polytechnic Institute, Troy, NY
dc.relation.ispartofRensselaer Theses and Dissertations Online Collection
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectAeronautical engineering
dc.titleAttitude determination from triaxial ellipsoid of unknown orientation
dc.typeElectronic thesis
dc.typeThesis
dc.digitool.pid180418
dc.digitool.pid180419
dc.digitool.pid180420
dc.rights.holderThis electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
dc.description.degreeMS
dc.relation.departmentDept. of Mechanical, Aerospace, and Nuclear Engineering


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CC BY-NC-ND. Users may download and share copies with attribution in accordance with a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License. No commercial use or derivatives are permitted without the explicit approval of the author.
Except where otherwise noted, this item's license is described as CC BY-NC-ND. Users may download and share copies with attribution in accordance with a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License. No commercial use or derivatives are permitted without the explicit approval of the author.