Three-dimensional generalized logarithmic spirals

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
  • Roa Vicens, Javier
  • Peláez Álvarez, Jesus
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
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.

Funding Projects

Government of SpainESP2013-41634-PUnspecifiedJesus Peláez AlvarezAnálisis dinámico, propagación orbital avanzada y simulación de sistemas espaciales complejos

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Item ID: 52193
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Deposited by: Memoria Investigacion
Deposited on: 25 Feb 2019 12:26
Last Modified: 25 Feb 2019 12:26
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