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Roa Vicens, Javier and Peláez Álvarez, Jesus (2016). Three-dimensional generalized logarithmic spirals. In: "26th AAS/AIAA Space Flight Mechanics Meeting", 14-18 feb, Napa, California. ISBN 978-0-87703-633-3. pp. 319-338.
Title: | Three-dimensional generalized logarithmic spirals |
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Author/s: |
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Item Type: | Presentation at Congress or Conference (Article) |
Event Title: | 26th AAS/AIAA Space Flight Mechanics Meeting |
Event Dates: | 14-18 feb |
Event Location: | Napa, California |
Title of Book: | Spaceflight Mechanics 2016. Advances in the Astronautical Sciences |
Date: | 2016 |
ISBN: | 978-0-87703-633-3 |
Volume: | 158 |
Subjects: | |
Faculty: | E.T.S.I. Aeronáuticos (UPM) |
Department: | Física Aplicada a la Ingeniería Aeronáutica [hasta 2014] |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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The family of generalized logarithmic spirals including a control parameter is extended to the three-dimensional case. The in-plane motion is decoupled from the out-of-plane motion in such a way that the integrals of motion found in the planar problem are still preserved in the three-dimensional case. Designing a low-thrust orbit transfer decomposes in two stages: first, orbits are projected on a reference plane and the planar transfer is solved with a generalized logarithmic spiral. Second, the out-of-plane component of the motion is included in order to target the final orbit. The projection of the three-dimensional transfer orbit on the reference plane is a generalized logarithmic spiral. Arbitrary shape-based laws for the 3D motion can be considered. This paper explores a polynomial and a Fourier series shaping method, together with a polynomial steering law. A fictitious low-thrust sample return mission to Ceres is designed to show the versatility of the method.
Type | Code | Acronym | Leader | Title |
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Government of Spain | ESP2013-41634-P | Unspecified | Jesus Peláez Alvarez | Análisis dinámico, propagación orbital avanzada y simulación de sistemas espaciales complejos |
Item ID: | 52193 |
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DC Identifier: | https://oa.upm.es/52193/ |
OAI Identifier: | oai:oa.upm.es:52193 |
Official URL: | http://www.univelt.com/linkedfiles/v158%20Contents.pdf |
Deposited by: | Memoria Investigacion |
Deposited on: | 25 Feb 2019 12:26 |
Last Modified: | 25 Feb 2019 12:26 |