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空中坐标系

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Power-law fluid is used to describe the Non-newtonian rheological property of the produced fluid in a polymer-driving well; the governing equations, boundary and initial equations of power-law fluid in eccentric annuli with the inner cylinder reciprocating axially is established in bipolar coordinates system; formulas of instantaneous flow rate and stress distribution on the outwall of the inner cylinder of the unsteady flow of power-law fluid in eccentric annuli with the inner cylinder reciprocating axially are established.

在理论上,用幂律流体模型描述了聚合物驱油井产出液的非Newton流变性;建立了双极坐标系下幂律流体在内管做轴向往复运动的偏心环空中非定常流的控制方程及边界条件和初始条件方程;建立了双极坐标系下幂律流体在内管做轴向往复运动的偏心环空中流动时瞬时流量和流体在内管壁上的压力分布计算公式。

The trajectory theory model of air target was made up according to its basic rule of flight control. A stochastic difference equation to model the air target movement in inertial frame coordinates was introduced.

根据空中目标飞行控制的基本规律,首先建立了空中目标航迹分布的理论模型,并在惯性坐标系中建立了基于随机微分方程的目标运动模型。

In the process of location compute of object,local coordinate system of object is established,and according geocentric coordinate system is established in terms of earth's ellipsoidal model.

在目标位置解算过程中,建立目标局部坐标系,根据地球的椭球模型,建立相应的地心坐标系。根据求得的目标局部坐标系与地心坐标系的转换关系,解算空中或地面目标相对于地心坐标系的大地坐标参数。

The errors and area limits caused by the lunar curvature were avoided in this model established under the Selenocentric Orthogonal Coordinate System, the accidental errors of exterior line elements were reduced by orbit fitting and interpolation, the polynomial orders of systematic errors in satellite orbits were decreased with their expression in the flying coordinate system moving and rotating with satellites, and the reliability of exterior orientation solution was enhanced under the condition of sparse and low accuracy control points by appending constraint of orbit and attitude parameters.

该模型通过在月心直角坐标系进行影像空中三角测量来消除月球曲率引起的误差和测图范围限制,通过轨道形状的拟合与插值来减小摄影时刻轨道位置的偶然误差,在飞行坐标系中建立轨道修正模型来减少定向参数的数目,对轨道和姿态增加约束条件来提高月面控制点数目稀少及精度低条件下外方位解算的精度与可靠性。

Taking HPAM solutions as an example, the unsteady flow of power-law fluid in eccentric annuli with the inner cylinder reciprocating axially is calculated; the distribution of velocity, flow rate and stability parameter is obtained; taking HEC solutions as another example, the flow of second order fluid in eccentric annuli with the inner cylinder moving axially is calculated too; the distribution of velocity and stress is obtained; the effect of eccentricity and axial movement on stress distribution on the outwall of the inner cylinder is analysed.

在理论上,分别用二阶流体和幂律流体模型描述聚合物驱油井产出液的非Newton流变性;分别建立了双极坐标系下二阶流体和幂律流体在内管做轴向往复运动的偏心环空中非定常流的控制方程及边界条件和初始条件方程;建立了幂律流体在内管做轴向往复运动的偏心环空中流动的稳定性参数和流体在内管壁上的压力分布计算公式;建立了二阶流体在内管做轴向运动的偏心环空中流动的流体在内管壁上的压力分布计算公式。

In this paper,we use direct linear transformation algorithm to compute the homographic matrix between the known ground control points with equal elevation and the corresponding points on the image plane, then establish the relationships between the homographic matrix and the collinearity equations, and finally give the mathematic models for computing the intrinsic and extrinsic parameters of the aerial camera.

该方法根据单张航空像片估计伞载空中摄像机焦距及摄像机在世界坐标系中的位置和姿态角等外参数,利用直接线性变换算法求取已知等高地面控制点与对应像点之间的单应矩阵,建立了单应矩阵与共线条件方程之间的关联关系,最后根据关联关系推导出计算航空摄像机焦距、纵横比、位置和姿态角等内外参数的数学模型。

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