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University of Houston

1. Nallapu, Raviteja 1989-. Orbit Propagation via MRQ Sphere Technique.

Degree: Mechanical Engineering, Department of, 2012, University of Houston

The Multi-Resolution Quadrature (MRQ) Sphere model, is a newly developed multi- resolution gravity model designed to estimate the gravity fields of arbitrary shaped space bodies, such as asteroids. The MRQ Sphere model uses two recently developed mathematical techniques to approximate the standard spherical harmonics. One of these tools approximates the radial decay terms using the sum of Gaussians, while the other is used for estimating the angular functions on the nodes of the quadratures of a sphere. In this work, we apply the MRQ sphere technique to the classic orbit propagation problem and compare the propagated orbit with that generated by the spherical harmonics method. We validate the methods with Earth as the primary body, and propagate the orbit of test cases such as the LAser GEOdynamics Satellite-II (LAGEOS-II) and the GPS BIIA-10 (PRN 32) satellite. We find that the MRQ-Sphere model may be applicable to orbit propagation up to a user dependent approximation. Advisors/Committee Members: Grigoriadis, Karolos M. (advisor), Provence, Robert S. (committee member), Rao, Jagannatha R. (committee member).

Subjects/Keywords: Orbit Propagation; Gravity Estimation; MRQ-Sphere; Spherical Harmonics; LAGEOS-II; GPS BIIA-10; Cartesian Formulation; Kepplerian elements; Gravity Potential; Orbital Mechanics; Aerospace engineering

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Nallapu, R. 1. (2012). Orbit Propagation via MRQ Sphere Technique. (Thesis). University of Houston. Retrieved from http://hdl.handle.net/10657/765

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Nallapu, Raviteja 1989-. “Orbit Propagation via MRQ Sphere Technique.” 2012. Thesis, University of Houston. Accessed July 16, 2019. http://hdl.handle.net/10657/765.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Nallapu, Raviteja 1989-. “Orbit Propagation via MRQ Sphere Technique.” 2012. Web. 16 Jul 2019.

Vancouver:

Nallapu R1. Orbit Propagation via MRQ Sphere Technique. [Internet] [Thesis]. University of Houston; 2012. [cited 2019 Jul 16]. Available from: http://hdl.handle.net/10657/765.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nallapu R1. Orbit Propagation via MRQ Sphere Technique. [Thesis]. University of Houston; 2012. Available from: http://hdl.handle.net/10657/765

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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