Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets

Docking with potentially tumbling Targets is a common element of many mission architectures, including on-orbit servicing and active debris removal. This paper studies synchronized docking trajectories as a way to ensure the Chaser satellite remains on the docking axis of the tumbl...

Full description

Bibliographic Details
Main Authors: Sternberg, David C., Miller, David W
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:English
Published: Frontiers Media SA 2020
Online Access:https://hdl.handle.net/1721.1/126334
_version_ 1826192308645658624
author Sternberg, David C.
Miller, David W
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Sternberg, David C.
Miller, David W
author_sort Sternberg, David C.
collection MIT
description Docking with potentially tumbling Targets is a common element of many mission architectures, including on-orbit servicing and active debris removal. This paper studies synchronized docking trajectories as a way to ensure the Chaser satellite remains on the docking axis of the tumbling Target, thereby reducing collision risks and enabling persistent onboard sensing of the docking location. Chaser satellites have limited computational power available to them and the time allowed for the determination of a fuel optimal trajectory may be limited. Consequently, parameterized trajectories that approximate the fuel optimal trajectory while following synchronous approaches may be used to provide a computationally efficient means of determining near optimal trajectories to a tumbling Target. This paper presents a method of balancing the computation cost with the added fuel expenditure required for parameterization, including the selection of a parameterization scheme, the number of parameters in the parameterization, and a means of incorporating the dynamics of a tumbling satellite into the parameterization process. Comparisons of the parameterized trajectories are made with the fuel optimal trajectory, which is computed through the numerical propagation of Euler’s equations. Additionally, various tumble types are considered to demonstrate the efficacy of the presented computation scheme. With this parameterized trajectory determination method, Chaser satellites may perform terminal approach and docking maneuvers with both fuel and computational efficiency.
first_indexed 2024-09-23T09:09:30Z
format Article
id mit-1721.1/126334
institution Massachusetts Institute of Technology
language English
last_indexed 2024-09-23T09:09:30Z
publishDate 2020
publisher Frontiers Media SA
record_format dspace
spelling mit-1721.1/1263342022-09-30T13:51:59Z Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets Sternberg, David C. Miller, David W Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Docking with potentially tumbling Targets is a common element of many mission architectures, including on-orbit servicing and active debris removal. This paper studies synchronized docking trajectories as a way to ensure the Chaser satellite remains on the docking axis of the tumbling Target, thereby reducing collision risks and enabling persistent onboard sensing of the docking location. Chaser satellites have limited computational power available to them and the time allowed for the determination of a fuel optimal trajectory may be limited. Consequently, parameterized trajectories that approximate the fuel optimal trajectory while following synchronous approaches may be used to provide a computationally efficient means of determining near optimal trajectories to a tumbling Target. This paper presents a method of balancing the computation cost with the added fuel expenditure required for parameterization, including the selection of a parameterization scheme, the number of parameters in the parameterization, and a means of incorporating the dynamics of a tumbling satellite into the parameterization process. Comparisons of the parameterized trajectories are made with the fuel optimal trajectory, which is computed through the numerical propagation of Euler’s equations. Additionally, various tumble types are considered to demonstrate the efficacy of the presented computation scheme. With this parameterized trajectory determination method, Chaser satellites may perform terminal approach and docking maneuvers with both fuel and computational efficiency. United States. Defense Advanced Research Projects Agency (Contract for InSPIRE II, NNH13CJ23C) 2020-07-23T12:56:19Z 2020-07-23T12:56:19Z 2018-04 2017-10 2019-10-30T12:53:26Z Article http://purl.org/eprint/type/JournalArticle 2296-9144 https://hdl.handle.net/1721.1/126334 Sternberg, David Charles and David Miller. “Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets.” Frontiers in Robotics and AI, vol. 5, 2018, Article 33 © 2018 The Author(s) en 10.3389/FROBT.2018.00033 Frontiers in Robotics and AI Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Frontiers Media SA Frontiers
spellingShingle Sternberg, David C.
Miller, David W
Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets
title Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets
title_full Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets
title_fullStr Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets
title_full_unstemmed Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets
title_short Parameterization of Fuel-Optimal Synchronous Approach Trajectories to Tumbling Targets
title_sort parameterization of fuel optimal synchronous approach trajectories to tumbling targets
url https://hdl.handle.net/1721.1/126334
work_keys_str_mv AT sternbergdavidc parameterizationoffueloptimalsynchronousapproachtrajectoriestotumblingtargets
AT millerdavidw parameterizationoffueloptimalsynchronousapproachtrajectoriestotumblingtargets