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Solving the Kepler equation with the SDG-code
Citation
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: |
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| 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 |
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
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Government of Spain | ESP2013-41634-P | Unspecified | Unspecified | Dynamic analysis, advanced orbit propagation and simulation of complex space systems |
More information
| Item ID: | 52184 |
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| DC Identifier: | https://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 |
