Computation of the trajectory and attitude of arrows subject to background wind

Ortiz, J. S. Espinoza; Ando, Makoto; Murayama, Kentaro; Miyazaki, Takeshi; Sugiura, Hiroaki

doi:10.1007/s12283-019-0302-9

Cited by 8 publications

(19 citation statements)

References 9 publications

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“…In this article, the down range behaviour and wind drift are calculated for various arrow types, using the same method, but with arrow flex included. The results are also compared to those obtained by Ortiz et al 13 In particular, the impact of arrow shaft diameter on wind drift has been considered.…”

Section: Introductionmentioning

confidence: 93%

“…19 The spine as stated by the manufacturer was used. Tables 7 and 8 provide a comparison of the calculated wind drifts using the Ortiz et al 13 and Park methods. The small differences in arrow parameters are due to Ortiz et al using measured parameters for the particular arrows tested and Park using typical values for those arrow sizes.…”

Section: Calculated Wind Driftmentioning

confidence: 99%

“…Ortiz et al 13 considered the trajectory and attitude of arrows subjected to background wind. Side, head and tail winds were considered, as were constant and sinusoidally varying winds.…”

Section: Introductionmentioning

confidence: 99%

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The dynamic behaviour of an arrow in wind

Park¹

2020

Proceedings of the Institution of Mechanical Engineers, Part P:

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Target archery competitions are conducted outdoors, exposed to the prevailing weather conditions. Competition takes place over long target distances and wind drift of the arrows is a significant cause of score loss. In this article, the dynamic behaviour of an arrow in free flight and wind drift are modelled, allowing for both the arrow initially aligning itself with the resultant airflow and the arrow flexing. The arrow has been modelled as an inextensible flexible beam, and the resulting partial differential equations solved using a finite difference method. Lift and drag for the various arrow components have been calculated using the local angle of attack for those components. It is shown that archers should use small diameter arrow shafts with a high density in order to minimise wind drift. Even for the best arrows, the drift for a 3-m/s side wind is greater than four score rings for a recurve bow at a target distance of 70 m with a 1220-mm diameter target face and nearly two score rings for a compound bow at a target distance of 50 m with an 800-mm diameter target face.

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Section: Introductionmentioning

confidence: 93%

Section: Calculated Wind Driftmentioning

confidence: 99%

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The dynamic behaviour of an arrow in wind

Park¹

2020

Proceedings of the Institution of Mechanical Engineers, Part P:

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“…Particularly, hypersonic vehicles have the characteristics of fast flight speed, high attack power, and global reach and have high requirements for navigation system reliability, start-up time, and environmental conditions. 2 –11 The strapdown celestial navigation measures natural celestial bodies to determine the vehicle location or heading, facilitating an independent navigation system. In the existing direction-finding technique, the star sensor is based on the star reference system and is the most accurate and minimally drifting attitude measuring component to date.…”

Section: Introductionmentioning

confidence: 99%

“…2 –5 The above advantages make the research and application of star sensors very active, which have been widely used in various fields such as Earth remote sensing, earth mapping, planetary mapping, interstellar communications, and intercontinental missiles. 6 –9 The star sensor and the inertial navigation system for integrated navigation have strong complementarity in performance. That integrated navigation can be used to calibrate the reference of inertial navigation devices and determine the attitude of the hypersonic vehicle.…”

Section: Introductionmentioning

confidence: 99%

Integrated navigation approaches of vehicle aided by the strapdown celestial angles

Chen

Gao

Zhang

2020

International Journal of Advanced Robotic Systems

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The integrated navigation method based on star sensor celestial angles (altitude angle and azimuth angle) is proposed to serve the need for rapidly responsive, reliable, and precise of a hypersonic vehicle under a sophisticated environment. An integrated navigation algorithm suitable for large azimuth misalignment is established under launching point inertial coordinate and local geographical coordinate system based on altitude angle and azimuth angles. Meanwhile, a Bayesian method for data dropouts aided by the strapdown celestial angles is presented for the rapid variability in the celestial star angle with active galaxies. A nonlinear Bayesian filter is applied to implement the simulation on account of the nonlinear feature of the state and measurement equations. The simulation results showed that the Bayesian method for integrated navigation data dropouts could be accomplished by altitude angle and azimuth angle aiding in both launching point inertial coordinate and local geographical coordinate systems, which converge to 1′ in 10 s. The method indicated that the integrated navigation significant errors derived from initial localization and initial attitude alignment could be modified by the strapdown inertial navigation system (SINS) supported by the star sensor’s celestial angle in the local geographic coordinate system in the early launch stage. For the seconds of the flight phase, the integrated navigation aided by celestial angles in the launching point inertial coordinate system was guaranteed for the feasibility and validity. During the flight, the feasibility and validity of integrated navigation were guaranteed aided by celestial angles in launching point inertial coordinate system.

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