elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Precise short- and long-term propagation of orbits and uncertainties using the Hermite integration scheme for LEO space debris objects

Rodmann, Jens and Hampf, Daniel and Hasenohr, Thomas and Humbert, Leif and Riede, Wolfgang and Sproll, Fabian and Wagner, Paul (2017) Precise short- and long-term propagation of orbits and uncertainties using the Hermite integration scheme for LEO space debris objects. KePASSA 2017 - 3RD INTERNATIONAL WORKSHOP ON KEY TOPICS IN ORBIT PROPAGATION APPLIED TO SPACE SITUATIONAL AWARENESS, 25.-27. Juli 2017, Noordwijk, Niederlande.

[img] PDF
2MB
[img] MS PowerPoint - Registered users only
7MB

Abstract

The Institute of Technical Physics of the German Aerospace Center (DLR) is actively developing laser-based optical tracking methods to determine 3D positions of LEO space debris objects to within 10 metres to support several SSA-related use cases, e.g. conjunction assessment, maneuver detection, or analysis of re-entry events. For the purpose of precise orbit determination and the subsequent propagation of states and their uncertainties, an accurate, fast, and versatile integration method is needed. We will present a numerical integration technique based on the Hermite scheme, a self-starting, implicite predictor-corrector method originally developed and widely used for gravitational N-body systems. The Hermite scheme uses the acceleration and its first time derivative to predict future position and velocity vectors from previous values. The gist of the method relies on the fact that the second and third derivatives can be explicitly calculated from the acceleration and its first derivative alone. These are then used iteratively to correct the object's state vector, yielding an integration method with fourth-order global error. The method can be used with constant or variable timesteps. In the case of constant timesteps, the Hermite integrator is time-symmetric and shows no secular error in the semi-major axis and eccentricity, which makes the integrator extremely useful for long-term dynamical simulations. The code can integrate an ensemble of objects in parallel, with either shared or individual timesteps. It can therefore be applied to propagate a catalogue of space objects and/or to perform realistic uncertainty propagation via Monte-Carlo or sigma-point methods. We will show current results from our orbit propagator development which is geared towards LEO space debris objects and discuss the implementation of the force model.

Item URL in elib:https://elib.dlr.de/118831/
Document Type:Conference or Workshop Item (Speech)
Title:Precise short- and long-term propagation of orbits and uncertainties using the Hermite integration scheme for LEO space debris objects
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Rodmann, JensJens.Rodmann (at) dlr.deUNSPECIFIED
Hampf, DanielDaniel.Hampf (at) dlr.deUNSPECIFIED
Hasenohr, ThomasThomas.Hasenohr (at) dlr.deUNSPECIFIED
Humbert, Leifleif.humbert (at) dlr.deUNSPECIFIED
Riede, WolfgangWolfgang.Riede (at) dlr.deUNSPECIFIED
Sproll, FabianFabian.Sproll (at) dlr.deUNSPECIFIED
Wagner, PaulPaul.Wagner (at) dlr.deUNSPECIFIED
Date:26 July 2017
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Accepted
Keywords:space debris; astrodynamics; numerical integration method
Event Title:KePASSA 2017 - 3RD INTERNATIONAL WORKSHOP ON KEY TOPICS IN ORBIT PROPAGATION APPLIED TO SPACE SITUATIONAL AWARENESS
Event Location:Noordwijk, Niederlande
Event Type:international Conference
Event Dates:25.-27. Juli 2017
Organizer:Universidad de la Rioja, Spanien; European Space Agency (ESA)
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Space Debris / Laser based SSA
Location: Stuttgart
Institutes and Institutions:Institute of Technical Physics > Active Optical Systems
Deposited By: Rodmann, Jens
Deposited On:27 Feb 2018 09:01
Last Modified:27 Feb 2018 09:01

Repository Staff Only: item control page

Browse
Search
Help & Contact
Information
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.