Charles Champagne Cossette, James Richard Forbes and David Saussié
Article (2020)
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Abstract
Lagrange's equation is a popular method of deriving equations of motion due to the ability to choose a variety of generalized coordinates and implement constraints. When using a Lagrangian formulation, part of the generalized coordinates may describe the attitude. This paper presents a means of deriving the dynamics of variable-mass systems using Lagrange's equation while using an arbitrary constrained attitude parameterization. The equivalence to well-known forms of the equations of motion is shown.
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| Subjects: | 2500 Electrical and electronic engineering > 2500 Electrical and electronic engineering |
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| Department: | Department of Electrical Engineering |
| Funders: | CRSNG/NSERC |
| PolyPublie URL: | https://publications.polymtl.ca/9265/ |
| Journal Title: | Journal of the Astronautical Sciences (vol. 67, no. 4) |
| Publisher: | Springer Nature |
| DOI: | 10.1007/s40295-020-00230-3 |
| Official URL: | https://doi.org/10.1007/s40295-020-00230-3 |
| Date Deposited: | 24 Mar 2022 11:55 |
| Last Modified: | 09 Apr 2025 07:05 |
| Cite in APA 7: | Champagne Cossette, C., Forbes, J. R., & Saussié, D. (2020). Lagrangian Derivation of Variable-Mass Equations of Motion using an Arbitrary Attitude Parameterization. Journal of the Astronautical Sciences, 67(4), 1206-1219. https://doi.org/10.1007/s40295-020-00230-3 |
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