Solving the Kepler equation with the SDG-code

Raposo Pulido, Virginia and Pelaez Alvarez, Jesus (2017). Solving the Kepler equation with the SDG-code. In: "27nd AAS/AIAA Spaceflight Mechanics Meeting", 5-9 feb, San Antonio (Texas). ISBN 978-0-87703-637-1. pp. 4143-4160.

Description

Title: Solving the Kepler equation with the SDG-code
Author/s:
  • Raposo Pulido, Virginia
  • Pelaez Alvarez, Jesus
Item Type: Presentation at Congress or Conference (Article)
Event Title: 27nd AAS/AIAA Spaceflight Mechanics Meeting
Event Dates: 5-9 feb
Event Location: San Antonio (Texas)
Title of Book: Spaceflight Mechanics 2017
Date: 2017
ISBN: 978-0-87703-637-1
Volume: 160
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A new code to solve the Kepler equation for elliptic and hyperbolic orbits has been developed. The motivation of the study is the determination of an appropriate seed to initialize the numerical method, considering the optimization already tested of the well known Newton-Raphson method. To do that, we take advantage of the full potential of the symbolic manipulators. The final algorithm is stable, reliable and solves successfully the solution of the Kepler equation in the singular corner (M << 1 and e ~ 1).

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainESP2013-41634-PUnspecifiedUnspecifiedDynamic analysis, advanced orbit propagation and simulation of complex space systems

More information

Item ID: 52184
DC Identifier: http://oa.upm.es/52184/
OAI Identifier: oai:oa.upm.es:52184
Official URL: http://aas/AIAA%20Spaceflight%20Mechanics%20Meeting
Deposited by: Memoria Investigacion
Deposited on: 06 Mar 2019 10:36
Last Modified: 06 Mar 2019 10:36
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