The two body problem and the rocket equation r̈ + ∊ α ṙ + k/r3r = 0 have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the intractability of the resulting non-linear, non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.
","abstract_html":"<p>The two body problem and the rocket equation <b>r̈</b> + ∊ α <b>ṙ</b> + <em>k</em>/<em>r</em><sup>3</sup><b>r</b> = <b>0</b> have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the intractability of the resulting non-linear, non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.</p>","abstract_has_math":false,"creators":["Clark, Clayton Jeremiah"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2005,"date_issued":"2005-08-16T07:00:00Z","date_published":"2005-08-16T07:00:00Z","updated_at":"2026-07-24T02:19:43Z","subjects":["rocket flight","perturbation","two-body problem","Applied Mathematics","Non-linear Dynamics","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/1045","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Clark, Clayton Jeremiah"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2005-08-16T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["rocket flight","perturbation","two-body problem","Applied Mathematics","Non-linear Dynamics","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/2202/viewcontent/ClarkC072305f.pdf","https://dc.etsu.edu/etd/1045"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The two body problem and the rocket equation r̈ + ∊ α ṙ + k/r3r = 0 have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the intractability of the resulting non-linear, non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.
"]},{"key":"dc:title","label":"Title","values":["Rocket Powered Flight as a Perturbation to the Two-Body Problem."]}]}],"canonical_facts":{"dc:creator":["Clark, Clayton Jeremiah"],"dc:date.issued":["2005-08-16T07:00:00Z"],"dc:description.abstract":["The two body problem and the rocket equation r̈ + ∊ α ṙ + k/r3r = 0 have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the intractability of the resulting non-linear, non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.
"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/2202/viewcontent/ClarkC072305f.pdf","https://dc.etsu.edu/etd/1045"],"dc:rights":["Copyright by the authors."],"dc:subject":["rocket flight","perturbation","two-body problem","Applied Mathematics","Non-linear Dynamics","Physical Sciences and Mathematics"],"dc:title":["Rocket Powered Flight as a Perturbation to the Two-Body Problem."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:19:43Z"}