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Chelnokov, Yu. N.

doi:10.1023/a:1012345213745

Cited by 11 publications

(2 citation statements)

References 4 publications

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“…Finally, Refs. [20][21][22][23][24][25][26][27][28][29][30] have further developed parameterizations using quaternions for orbital motion.…”

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confidence: 99%

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Nonsingular Euler Parameterizations for Motion of a Point Mass in Atmospheric Flight

Miller¹,

Rao²

2021

Preprint

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Three parameterizations are developed for modeling translational motion of a point mass in atmosphere flight over a central rotating body. Unlike well-known parameterizations such as spherical coordinate parameterizations, where position and velocity are parameterized using a magnitude an an Euler angle rotation sequence, the method presented in this research employs Euler parameters. Consequently, singularities and trigonometric functions are eliminated from the differential equations of motion. As a result, the new parameterizations presented in this paper offer computational advantages over standard parameterizations that employ Euler angle sequences. Finally, an example is studied where an atmospheric vehicle moves while in vertical flight, demonstrating the nonsingular nature of the formulations developed in this paper.

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“…Finally, Refs. [20][21][22][23][24][25][26][27][28][29][30] have further developed parameterizations using quaternions for orbital motion.…”

mentioning

confidence: 99%

“…The focus on position-dependent forces generally leads to the development of parameterizations that employ a single quaternion for quantifying position (for example, Refs. [23,28]). Atmospheric flight mechanics, on the other hand, requires both positionand velocity-dependent forces be taken into account.…”

mentioning

confidence: 99%