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dc.rights.licenseRestricted to current Rensselaer faculty, staff and students. Access inquiries may be directed to the Rensselaer Libraries.
dc.contributorChristian, John
dc.contributorAnderson, Kurt S.
dc.contributorHicken, Jason
dc.contributor.authorHollenberg, Courtney
dc.date.accessioned2021-11-03T09:14:53Z
dc.date.available2021-11-03T09:14:53Z
dc.date.created2020-08-04T12:17:52Z
dc.date.issued2019-12
dc.identifier.urihttps://hdl.handle.net/20.500.13015/2481
dc.descriptionDecember 2019
dc.descriptionSchool of Engineering
dc.description.abstractClassical techniques for initial orbit determination (IOD) require the analyst to find a body's orbit given only observations such as bearings, range, and/or position. In these cases, one of the goals is often to solve for the unknown velocity vector at one or more of the observation times to fully define the orbit. Recently, however, a new class of IOD problems has been proposed that switches the knowns and unknowns in these classic IOD problems. Specifically, the objective is to find the unknown position vectors given only velocity measurements. This paper presents a detailed assessment of the geometric properties of this new family of velocity-only IOD problems. The primary tool for this geometric analysis is Hamilton's orbital hodograph, which is known to be a perfect circle for all orbits obeying Keplerian dynamics. This framework is used to produce intuitive and efficient algorithms for IOD from three velocity vectors (similar structure to Gibbs problem) and for IOD from two velocity vectors and time-of-flight (similar structure to Lambert's problem). Performance of these algorithms is demonstrated through numerical results.
dc.language.isoENG
dc.publisherRensselaer Polytechnic Institute, Troy, NY
dc.relation.ispartofRensselaer Theses and Dissertations Online Collection
dc.subjectAeronautical engineering
dc.titleVelocity-based initial orbit determination
dc.typeElectronic thesis
dc.typeThesis
dc.digitool.pid179913
dc.digitool.pid179914
dc.digitool.pid179915
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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