How Many Impulses Redux Article Swipe
Ehsan Taheri
,
John L. Junkins
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1007/s40295-019-00203-1
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1007/s40295-019-00203-1
A central problem in orbit transfer optimization is to determine the number, time, direction, and magnitude of velocity impulses that minimize the total impulse. This problem was posed in 1967 by T. N. Edelbaum, and while notable advances have been made, a rigorous means to answer Edelbaum’s question for multiple-revolution maneuvers has remained elusive for over five decades. We revisit Edelbaum’s question by taking a bottom-up approach to generate a minimum-fuel switching surface. Sweeping through time profiles of the minimum-fuel switching function for increasing admissible thrust magnitude, and in the high-thrust limit, we find that the continuous thrust switching surface reveals the N -impulse solution. It is also shown that a fundamental minimum-thrust solution plays a pivotal role in our process to determine the optimal minimum-fuel maneuver for all thrust levels. Remarkably, we find that the answer to Edelbaum’s question is not generally unique, but is frequently a set of equal-Δ v extremals. We further find, when Edelbaum’s question is refined to seek the number of finite-duration thrust arcs for a specific rocket engine, that a unique extremal is usually found. Numerical results demonstrate the ideas and their utility for several interplanetary and Earth-bound optimal transfers that consist of up to eleven impulses or, for finite thrust, short thrust arcs. Another significant contribution of the paper can be viewed as a unification in astrodynamics where the connection between impulsive and continuous-thrust trajectories are demonstrated through the notion of optimal switching surfaces .
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s40295-019-00203-1
- https://link.springer.com/content/pdf/10.1007/s40295-019-00203-1.pdf
- OA Status
- hybrid
- Cited By
- 62
- References
- 116
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2995438409
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2995438409Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1007/s40295-019-00203-1Digital Object Identifier
- Title
-
How Many Impulses ReduxWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-12-17Full publication date if available
- Authors
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Ehsan Taheri, John L. JunkinsList of authors in order
- Landing page
-
https://doi.org/10.1007/s40295-019-00203-1Publisher landing page
- PDF URL
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https://link.springer.com/content/pdf/10.1007/s40295-019-00203-1.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
- OA URL
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https://link.springer.com/content/pdf/10.1007/s40295-019-00203-1.pdfDirect OA link when available
- Concepts
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Thrust, Specific impulse, Impulse (physics), Control theory (sociology), Mathematics, Physics, Computer science, Aerospace engineering, Classical mechanics, Engineering, Artificial intelligence, Control (management)Top concepts (fields/topics) attached by OpenAlex
- Cited by
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62Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 11, 2024: 17, 2023: 13, 2022: 7, 2021: 7Per-year citation counts (last 5 years)
- References (count)
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116Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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