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This technical brief summarizes an elegant algebraic description of rigid body position and attitude along with analytical derivatives associated with body motions. The equations presented here offer a fully general representation that is entirely singularity-free. The expressions capture all six degrees of freedom associated to a physical body within a math model containing exactly six free parameters based on the exponential map. A particularly pragmatic benefit is that the math model and all of its parameters have direct associations with physical characteristics that can be observed and/or measured directly by physical instrumentation and sensor systems. The expressions describing body position and attitude are necessarily non-linear, but have relatively simple forms on which simple numerical solution methods are exceptionally effective.
Autorius: | Dave Knopp |
Leidėjas: | Lulu.com |
Išleidimo metai: | 2022 |
Knygos puslapių skaičius: | 110 |
ISBN-10: | 1387907948 |
ISBN-13: | 9781387907946 |
Formatas: | 229 x 152 x 6 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „An Effective Rigid Body Math Model: A Synopsis for the Practitioner“