CN111008446B - Speed optimization system based on grid ship position layout calculation - Google Patents
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技术领域technical field
本发明属于航天测控技术领域中测量船船位布设计算技术领域,具体涉及一种基于网格船位布设计算的速度优化系统。The invention belongs to the technical field of survey ship position layout and calculation in the technical field of aerospace measurement and control, and in particular relates to a speed optimization system based on grid ship position layout calculation.
背景技术Background technique
航天器从发射到进入使命轨道,期间有多个关键测控弧段,其中入轨段、几次近地点变轨段等关键测控弧段只有海上测量船能够提供测控支持。传统测量船船位布设多由测量人员手动计算并绘制测量船工作曲线,这种方法工作量大,经验性强,难以适应大规模、高频率的海上测量任务需求。目前一种基于精细网格的船位布设计算方法利用计算机解决了传统人工手算测量船位布设区域的问题。然而基于精细网格的完全循环遍历的计算量级随着测量船数量增加、任务天数的增加成指数级增长,计算效率较低。为了满足航天测控任务的需要,提高船位布设计算效率,有必要针对基于精细网格船位布设计算的实现方法进行改进,降低计算量,提高计算速度。From the launch of the spacecraft to the mission orbit, there are many key measurement and control arcs. Among them, the key measurement and control arcs such as the entry into orbit and several perigee orbit changes can only be provided by offshore survey ships. The position layout of traditional survey ships is mostly calculated manually by surveyors and draws the working curves of survey ships. This method requires a lot of work and experience, and it is difficult to adapt to large-scale and high-frequency offshore survey tasks. At present, a calculation method of ship position layout based on fine grid uses computer to solve the problem of traditional manual calculation and measurement of ship position layout area. However, the calculation level of the full cycle traversal based on the fine grid increases exponentially with the increase of the number of survey ships and the increase of the number of mission days, and the calculation efficiency is low. In order to meet the needs of aerospace measurement and control tasks and improve the calculation efficiency of ship position layout, it is necessary to improve the implementation method of ship position layout calculation based on fine grid, reduce the calculation amount and increase the calculation speed.
发明内容Contents of the invention
(一)要解决的技术问题(1) Technical problems to be solved
本发明要解决的技术问题是:在基于精细网格的测量船船位布设计算中,随着测量船数量增加、任务天数增加而导致的计算量大,计算耗时长的问题。The technical problem to be solved by the present invention is: in the fine grid-based survey ship position layout calculation, with the increase in the number of survey ships and the increase in the number of mission days, the calculation amount is large and the calculation takes a long time.
(二)技术方案(2) Technical solution
为解决上述技术问题,本发明提供一种基于网格船位布设计算的速度优化系统,所述优化系统包括:网格粗分模块、第一运算模块、网格细分模块、第二运算模块、精细网格点获取模块、测控要求区域获取模块;In order to solve the above technical problems, the present invention provides a speed optimization system based on grid ship position layout calculation, said optimization system includes: grid rough division module, first calculation module, grid subdivision module, second calculation module, Fine grid point acquisition module, measurement and control required area acquisition module;
其中,所述网格粗分模块用于计算一天内多条弹道海上测控弧段首尾向下海面布船区域,分别取交集,并将布船区域交集进行网格粗分;Wherein, the grid coarse division module is used to calculate the ship deployment area of the first and last downward sea surface of multiple ballistic maritime measurement and control arcs within one day, respectively take the intersection, and perform grid rough division on the intersection of the ship deployment area;
所述第一运算模块用于循环遍历计算区域中每一个粗分网格对测控弧段的可见性和链路通信情况,记录满足要求的粗网格;The first operation module is used to loop through the visibility and link communication conditions of each coarse grid in the calculation area for the measurement and control arc, and record the coarse grid that meets the requirements;
所述网格细分模块用于将满足条件的粗网格按照精度要求进行网格细分,获得细网格;The grid subdivision module is used to subdivide the coarse grid satisfying the conditions according to the precision requirement to obtain the fine grid;
所述第二运算模块用于在满足条件的粗网格中,循环遍历计算每一个细网格对测控弧段的可见性和链路通信情况,记录满足要求的细网格;The second operation module is used to loop through and calculate the visibility and link communication conditions of each fine grid to the measurement and control arc in the coarse grid that meets the conditions, and record the fine grid that meets the requirements;
重复网格细分模块及第二运算模块的工作,直到细网格的网格精度满足任务要求停止计算;Repeat the work of the grid subdivision module and the second operation module until the grid precision of the fine grid meets the task requirements and stop the calculation;
所述精细网格点获取模块用于记录连续N天的满足约束的细网格,获得精细网格点;The fine grid point acquisition module is used to record the fine grid that satisfies the constraint for N consecutive days to obtain the fine grid point;
所述测控要求区域获取模块用于根据符合要求的精细网格点,计算部署区域所形成的外接凸多边形;则该多边形内区域为一艘测量船连续N天对多弹道进行测控要求的区域。The measurement and control requirement area acquisition module is used to calculate the circumscribed convex polygon formed by the deployment area according to the fine grid points that meet the requirements; then the area inside the polygon is the area where a measurement ship performs measurement and control requirements for multiple ballistic trajectories for N consecutive days.
其中,所述网格粗分模块的工作过程中,计算第一天多条弹道海上飞行段的起点对应的多个海面布船区域,取区域的交集为区域A;同时计算第一天多条弹道海上飞行段的终点对应的多个海面布船区域,取区域的交集为区域B。Wherein, during the working process of the grid coarse division module, calculate the multiple sea surface ship distribution areas corresponding to the starting point of the first day's multiple ballistic sea flight segments, and take the intersection of the areas as area A; simultaneously calculate the first day's multiple Area B is the intersection of multiple sea surface deployment areas corresponding to the end point of the ballistic sea flight segment.
其中,所述网格粗分模块的工作过程中,有两种情况:第一种情况,若区域A和区域B有交集区域C,则在区域C布设一艘测量船即可满足第一天的测控要求;第二种情况,若区域A和区域B没有交集,则说明该任务需要两艘或以上的测量船进行测控。Among them, in the working process of the coarse grid division module, there are two cases: in the first case, if there is an intersection area C between area A and area B, then a survey ship can be deployed in area C to meet the requirements of the first day. In the second case, if there is no intersection between area A and area B, it means that the task requires two or more survey ships for measurement and control.
其中,所述网格粗分模块的工作过程中的第一种情况下,因区域较小且仅需要一艘测量船,可按照计算精度要求将区域C进行经、纬划分,直接形成多个精细网格,并根据第一运算模块循环遍历计算区域C中每一个精细网格对测控弧段的可见性和链路通信情况,记录能够满足全弧段可见性与链路通信的精细网格。Wherein, in the first case in the working process of the coarse mesh division module, because the area is small and only one survey ship is needed, the area C can be divided into longitude and latitude according to the calculation accuracy requirements, directly forming multiple Fine grid, and according to the first operation module looping through the visibility and link communication of each fine grid in the calculation area C, record the fine grid that can satisfy the visibility and link communication of the entire arc .
其中,所述网格粗分模块的工作过程中的第二种情况下,将区域A和区域B进行初步经、纬网格粗分,并根据第一运算模块循环遍历计算区域A中测量船SA对相应测控弧段的可见性和链路通信情况,同时计算区域B中测量船SB对应的测控弧段的可见性和链路通信情况;找到能够满足对火箭弹道测控全覆盖的区域A中的网格M1Ai和区域B中的网格M1Bj,形成粗网格对M1Ai和M1Bj。Wherein, in the second case in the working process of the coarse grid division module, the area A and the area B are subjected to preliminary longitude and latitude grid division, and the measurement ship in the calculation area A is cycled through according to the first calculation module. The visibility and link communication situation of S A to the corresponding measurement and control arc section, and the visibility and link communication situation of the measurement and control arc section corresponding to the measurement ship S B in area B; find the area that can meet the full coverage of rocket trajectory measurement and control Mesh M 1 A i in A and mesh M 1 B j in region B, form a coarse mesh pair M 1 A i and M 1 B j .
其中,所述网格细分模块及第二运算模块的工作过程中,将找到的所有粗网格对M1Ai和M1Bj进行网格细分,循环遍历计算每一个细分网格中测量船SA对相应测控弧段的可见性和链路通信情况,以及测量船SB对应的测控弧段的可见性和链路通信情况,记录在区域A和区域B的粗网格对中能够满足全弧段可见性与链路通信的细网格对。Wherein, during the working process of the grid subdivision module and the second operation module, all the coarse grid pairs M 1 A i and M 1 B j found are subdivided into grids, and each subdivision network is calculated by cyclic traversal. In the grid, the visibility and link communication conditions of the measurement ship S A to the corresponding measurement and control arc, and the visibility and link communication conditions of the measurement and control arc corresponding to the measurement ship S B are recorded in the coarse grids of area A and area B Align fine grid pairs that can meet full arc visibility and link communication.
其中,在重复网格细分模块及第二运算模块的工作过程中,对细网格对再进一步划分,直到网格精度满足任务要求,且同时满足对相应测控弧段可见性和链路通信全覆盖时停止计算,记录所有找到的细网格对M1SAi和M1SBj。Among them, in the process of repeating the work of the grid subdivision module and the second operation module, the fine grid pairs are further divided until the grid accuracy meets the task requirements, and at the same time, the visibility and link communication of the corresponding measurement and control arcs are satisfied. Stop the calculation when it is fully covered, and record all found fine grid pairs M 1 SA i and M 1 SB j .
其中,所述精细网格点获取模块的工作过程中,按照网格粗分模块、第一运算模块、网格细分模块、第二运算模块的工作过程,分别计算对第二天、第三天…、第N天发射弹道的测控覆盖性能;记录第二天、第三天…、第N天的满足可见性和链路通信约束的细网格对M2SAi和M2SBj,M3SAi和M3SBj…,MNSAi和MNSBj。Wherein, in the working process of the fine grid point acquisition module, according to the working process of the grid rough division module, the first operation module, the grid subdivision module, and the second operation module, respectively calculate the second day, the third Day..., the TT&C coverage performance of the launch trajectory on the Nth day; record the fine grid pairs M 2 SA i and M 2 SB j that satisfy the visibility and link communication constraints on the second day, the third day..., the Nth day, M 3 SA i and M 3 SB j ..., M N SA i and M N SB j .
其中,所述精细网格点获取模块的工作过程中,根据测量船每天移动的距离D为半径,以第一天布船区域中的某一细网格M1SAi为圆心做圆,该圆所覆盖的区域与第二天的布船区域的交集即为第二天测量船对应某一网格的可布设区域,对第一天布船区域中所有网格遍历计算,可得到测量船第一天布船区域中每个细网格对应的第二天布船区域,获得第二天对应的测量船布船精细网格点;Wherein, during the working process of the fine grid point acquisition module, according to the distance D that the measuring ship moves every day as the radius, a circle is made with a certain fine grid M 1 SA i in the ship deployment area on the first day as the center of the circle, the The intersection of the area covered by the circle and the ship deployment area on the second day is the area where the survey ship can be laid out corresponding to a certain grid on the second day. For all the grid traversal calculations in the ship deployment area on the first day, the survey ship can be obtained Each fine grid in the ship layout area on the first day corresponds to the ship layout area on the second day, and the fine grid points corresponding to the survey ship layout on the second day are obtained;
然后按照上述方式计算第三天、…、第N天对应的测量船布船精细网格点。Then calculate the fine grid points of the survey ship and ship corresponding to the third day, ..., and the Nth day according to the above method.
其中,所述测控要求区域获取模块的工作过程中,对于精细网格点获取模块记录下来的精细网格点,按照如下规则计算测量船船位布设区域所形成的外接凸多边形;Wherein, during the working process of the measurement and control required area acquisition module, for the fine grid points recorded by the fine grid point acquisition module, the circumscribed convex polygon formed by the survey ship position layout area is calculated according to the following rules;
将所有离散点构建的区域包络起来形成最终的船位布设区域;定义坐标系经度轴为X轴,纬度轴为Y轴;Envelop the area constructed by all discrete points to form the final ship position layout area; define the longitude axis of the coordinate system as the X axis, and the latitude axis as the Y axis;
计算过程如下:The calculation process is as follows:
1)对于所述精细网格点获取模块记录下来的各自处于离散状态的精细网格点,在离散点中,找到一点,保证y坐标最大情况下,x坐标最小点,记为A1点;1) For the fine grid points that are respectively in discrete states recorded by the fine grid point acquisition module, in the discrete points, find a point to ensure that the y coordinate is the largest, and the x coordinate minimum point is recorded as A 1 point;
2)以A1点为原点,X轴正向射线A1x顺时针扫描,找到旋转角最小时扫描到的点,记为B1点;2) With point A 1 as the origin, X-axis scans clockwise along the positive ray A 1 x, find the point scanned when the rotation angle is the smallest, and record it as point B 1 ;
3)以B1点为原点,A1B1方向射线A1B1顺时针扫描,找到旋转角最小时扫描到的点,记作C1点;3) Take point B1 as the origin, scan the ray A 1 B 1 clockwise in the direction of A 1 B 1 , and find the point scanned when the rotation angle is the smallest, which is recorded as point C 1 ;
4)以C1点为原点,B1C1方向射线B1C1顺时针扫描,找到旋转角最小时扫描到的点,记为D1点;4) Take point C 1 as the origin, scan the ray B 1 C 1 in the direction of B 1 C 1 clockwise, and find the point scanned when the rotation angle is the smallest, which is recorded as point D 1 ;
以此类推,直到找到起始点A1;由此形成起始点为A1点,最重点也为A1点的外接凸多边形。By analogy, until the starting point A 1 is found; thus, a circumscribed convex polygon whose starting point is A 1 and the most important point is also A 1 is formed.
(三)有益效果(3) Beneficial effects
与现有技术相比较,本发明采用一种基于网格的船位布设计算优化方案,在保证船位部署计算的全面性和准确性前提下,很大程度减小了计算量,提高计算效率。Compared with the prior art, the present invention adopts a grid-based ship position layout calculation optimization scheme, which greatly reduces the calculation amount and improves the calculation efficiency under the premise of ensuring the comprehensiveness and accuracy of the ship position deployment calculation.
附图说明Description of drawings
图1为覆盖区域细分优化示意图。Figure 1 is a schematic diagram of coverage area subdivision optimization.
图2为凸多边形计算方法示意图。Fig. 2 is a schematic diagram of a convex polygon calculation method.
具体实施方式Detailed ways
为使本发明的目的、内容、和优点更加清楚,下面结合附图和实施例,对本发明的具体实施方式作进一步详细描述。In order to make the purpose, content, and advantages of the present invention clearer, the specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.
为解决上述技术问题,本发明提供一种基于网格船位布设计算的速度优化系统,所述优化系统包括:网格粗分模块、第一运算模块、网格细分模块、第二运算模块、精细网格点获取模块、测控要求区域获取模块;In order to solve the above technical problems, the present invention provides a speed optimization system based on grid ship position layout calculation, said optimization system includes: grid rough division module, first calculation module, grid subdivision module, second calculation module, Fine grid point acquisition module, measurement and control required area acquisition module;
其中,所述网格粗分模块用于计算一天内多条弹道海上测控弧段首尾向下海面布船区域,分别取交集,并将布船区域交集进行网格粗分;Wherein, the grid coarse division module is used to calculate the ship deployment area of the first and last downward sea surface of multiple ballistic maritime measurement and control arcs within one day, respectively take the intersection, and perform grid rough division on the intersection of the ship deployment area;
所述第一运算模块用于循环遍历计算区域中每一个粗分网格对测控弧段的可见性和链路通信情况,记录满足要求的粗网格;The first operation module is used to loop through the visibility and link communication conditions of each coarse grid in the calculation area for the measurement and control arc, and record the coarse grid that meets the requirements;
所述网格细分模块用于将满足条件的粗网格按照精度要求进行网格细分,获得细网格;The grid subdivision module is used to subdivide the coarse grid satisfying the conditions according to the precision requirement to obtain the fine grid;
所述第二运算模块用于在满足条件的粗网格中,循环遍历计算每一个细网格对测控弧段的可见性和链路通信情况,记录满足要求的细网格;The second operation module is used to loop through and calculate the visibility and link communication conditions of each fine grid to the measurement and control arc in the coarse grid that meets the conditions, and record the fine grid that meets the requirements;
重复网格细分模块及第二运算模块的工作,直到细网格的网格精度满足任务要求停止计算;Repeat the work of the grid subdivision module and the second operation module until the grid precision of the fine grid meets the task requirements and stop the calculation;
所述精细网格点获取模块用于记录连续N天的满足约束的细网格,获得精细网格点;The fine grid point acquisition module is used to record the fine grid that satisfies the constraint for N consecutive days to obtain the fine grid point;
所述测控要求区域获取模块用于根据符合要求的精细网格点,计算部署区域所形成的外接凸多边形;则该多边形内区域为一艘测量船连续N天对多弹道进行测控要求的区域。The measurement and control requirement area acquisition module is used to calculate the circumscribed convex polygon formed by the deployment area according to the fine grid points that meet the requirements; then the area inside the polygon is the area where a measurement ship performs measurement and control requirements for multiple ballistic trajectories for N consecutive days.
其中,所述网格粗分模块的工作过程中,计算第一天多条弹道海上飞行段的起点对应的多个海面布船区域,取区域的交集为区域A;同时计算第一天多条弹道海上飞行段的终点对应的多个海面布船区域,取区域的交集为区域B。Wherein, during the working process of the grid coarse division module, calculate the multiple sea surface ship distribution areas corresponding to the starting point of the first day's multiple ballistic sea flight segments, and take the intersection of the areas as area A; simultaneously calculate the first day's multiple Area B is the intersection of multiple sea surface deployment areas corresponding to the end point of the ballistic sea flight segment.
其中,所述网格粗分模块的工作过程中,有两种情况:第一种情况,若区域A和区域B有交集区域C,则在区域C布设一艘测量船即可满足第一天的测控要求;第二种情况,若区域A和区域B没有交集,则说明该任务需要两艘或以上的测量船进行测控。Among them, in the working process of the coarse grid division module, there are two cases: in the first case, if there is an intersection area C between area A and area B, then a survey ship can be deployed in area C to meet the requirements of the first day. In the second case, if there is no intersection between area A and area B, it means that the task requires two or more survey ships for measurement and control.
其中,所述网格粗分模块的工作过程中的第一种情况下,因区域较小且仅需要一艘测量船,可按照计算精度要求将区域C进行经、纬划分,直接形成多个精细网格,并根据第一运算模块循环遍历计算区域C中每一个精细网格对测控弧段的可见性和链路通信情况,记录能够满足全弧段可见性与链路通信的精细网格。Wherein, in the first case in the working process of the coarse mesh division module, because the area is small and only one survey ship is needed, the area C can be divided into longitude and latitude according to the calculation accuracy requirements, directly forming multiple Fine grid, and according to the first operation module looping through the visibility and link communication of each fine grid in the calculation area C, record the fine grid that can satisfy the visibility and link communication of the entire arc .
其中,所述网格粗分模块的工作过程中的第二种情况下,将区域A和区域B进行初步经、纬网格粗分,并根据第一运算模块循环遍历计算区域A中测量船SA对相应测控弧段的可见性和链路通信情况,同时计算区域B中测量船SB对应的测控弧段的可见性和链路通信情况;找到能够满足对火箭弹道测控全覆盖的区域A中的网格M1Ai和区域B中的网格M1Bj,形成粗网格对M1Ai和M1Bj。Wherein, in the second case in the working process of the coarse grid division module, the area A and the area B are subjected to preliminary longitude and latitude grid division, and the measurement ship in the calculation area A is cycled through according to the first calculation module. The visibility and link communication situation of S A to the corresponding measurement and control arc section, and the visibility and link communication situation of the measurement and control arc section corresponding to the measurement ship S B in area B; find the area that can meet the full coverage of rocket trajectory measurement and control Mesh M 1 A i in A and mesh M 1 B j in region B, form a coarse mesh pair M 1 A i and M 1 B j .
其中,所述网格细分模块及第二运算模块的工作过程中,将找到的所有粗网格对M1Ai和M1Bj进行网格细分,循环遍历计算每一个细分网格中测量船SA对相应测控弧段的可见性和链路通信情况,以及测量船SB对应的测控弧段的可见性和链路通信情况,记录在区域A和区域B的粗网格对中能够满足全弧段可见性与链路通信的细网格对。Wherein, during the working process of the grid subdivision module and the second operation module, all the coarse grid pairs M 1 A i and M 1 B j found are subdivided into grids, and each subdivision network is calculated by cyclic traversal. In the grid, the visibility and link communication conditions of the measurement ship S A to the corresponding measurement and control arc, and the visibility and link communication conditions of the measurement and control arc corresponding to the measurement ship S B are recorded in the coarse grids of area A and area B Align fine grid pairs that can meet full arc visibility and link communication.
其中,在重复网格细分模块及第二运算模块的工作过程中,对细网格对再进一步划分,直到网格精度满足任务要求,且同时满足对相应测控弧段可见性和链路通信全覆盖时停止计算,记录所有找到的细网格对M1SAi和M1SBj。Among them, in the process of repeating the work of the grid subdivision module and the second operation module, the fine grid pairs are further divided until the grid accuracy meets the task requirements, and at the same time, the visibility and link communication of the corresponding measurement and control arcs are satisfied. Stop the calculation when it is fully covered, and record all found fine grid pairs M 1 SA i and M 1 SB j .
其中,所述精细网格点获取模块的工作过程中,按照网格粗分模块、第一运算模块、网格细分模块、第二运算模块的工作过程,分别计算对第二天、第三天…、第N天发射弹道的测控覆盖性能;记录第二天、第三天…、第N天的满足可见性和链路通信约束的细网格对M2SAi和M2SBj,M3SAi和M3SBj…,MNSAi和MNSBj。Wherein, in the working process of the fine grid point acquisition module, according to the working process of the grid rough division module, the first operation module, the grid subdivision module, and the second operation module, respectively calculate the second day, the third Day..., the TT&C coverage performance of the launch trajectory on the Nth day; record the fine mesh pairs M 2 SA i and M 2 SB j that meet the visibility and link communication constraints on the second day, the third day..., the Nth day, M 3 SA i and M 3 SB j ..., M N SA i and M N SB j .
其中,所述精细网格点获取模块的工作过程中,根据测量船每天移动的距离D为半径,以第一天布船区域中的某一细网格M1SAi为圆心做圆,该圆所覆盖的区域与第二天的布船区域的交集即为第二天测量船对应某一网格的可布设区域,对第一天布船区域中所有网格遍历计算,可得到测量船第一天布船区域中每个细网格对应的第二天布船区域,获得第二天对应的测量船布船精细网格点;Wherein, during the working process of the fine grid point acquisition module, according to the distance D that the measuring ship moves every day as the radius, a circle is made with a certain fine grid M 1 SA i in the ship deployment area on the first day as the center of the circle, the The intersection of the area covered by the circle and the ship deployment area on the second day is the area where the survey ship can be laid out corresponding to a certain grid on the second day. For all the grid traversal calculations in the ship deployment area on the first day, the survey ship can be obtained Each fine grid in the ship layout area on the first day corresponds to the ship layout area on the second day, and the fine grid points corresponding to the survey ship layout on the second day are obtained;
然后按照上述方式计算第三天、…、第N天对应的测量船布船精细网格点。Then calculate the fine grid points of the survey ship and ship corresponding to the third day, ..., and the Nth day according to the above method.
其中,所述测控要求区域获取模块的工作过程中,对于精细网格点获取模块记录下来的精细网格点,按照如下规则计算测量船船位布设区域所形成的外接凸多边形;Wherein, during the working process of the measurement and control required area acquisition module, for the fine grid points recorded by the fine grid point acquisition module, the circumscribed convex polygon formed by the survey ship position layout area is calculated according to the following rules;
将所有离散点构建的区域包络起来形成最终的船位布设区域;定义坐标系经度轴为X轴,纬度轴为Y轴;Envelop the area constructed by all discrete points to form the final ship position layout area; define the longitude axis of the coordinate system as the X axis, and the latitude axis as the Y axis;
计算过程如下:The calculation process is as follows:
1)对于所述精细网格点获取模块记录下来的各自处于离散状态的精细网格点,在离散点中,找到一点,保证y坐标最大情况下,x坐标最小点,记为A1点;1) For the fine grid points that are respectively in discrete states recorded by the fine grid point acquisition module, in the discrete points, find a point to ensure that the y coordinate is the largest, and the x coordinate minimum point is recorded as A 1 point;
2)以A1点为原点,X轴正向射线A1x顺时针扫描,找到旋转角最小时扫描到的点,记为B1点;2) With point A 1 as the origin, X-axis scans clockwise along the positive ray A 1 x, find the point scanned when the rotation angle is the smallest, and record it as point B 1 ;
3)以B1点为原点,A1B1方向射线A1B1顺时针扫描,找到旋转角最小时扫描到的点,记作C1点;3) Take point B1 as the origin, scan the ray A 1 B 1 clockwise in the direction of A 1 B 1 , and find the point scanned when the rotation angle is the smallest, which is recorded as point C 1 ;
4)以C1点为原点,B1C1方向射线B1C1顺时针扫描,找到旋转角最小时扫描到的点,记为D1点;4) Take point C 1 as the origin, scan the ray B 1 C 1 in the direction of B 1 C 1 clockwise, and find the point scanned when the rotation angle is the smallest, which is recorded as point D 1 ;
以此类推,直到找到起始点A1;由此形成起始点为A1点,最重点也为A1点的外接凸多边形。By analogy, until the starting point A 1 is found; thus, a circumscribed convex polygon whose starting point is A 1 and the most important point is also A 1 is formed.
此外,本发明还提供一种基于网格船位布设计算的速度优化方法,所述优化方法能够解决基于网格计算船位中计算重复、计算量大的问题,有效的提升计算效率;In addition, the present invention also provides a speed optimization method based on grid ship position layout calculation, the optimization method can solve the problems of repeated calculation and large amount of calculation in grid-based calculation of ship position, and effectively improve calculation efficiency;
所述优化方法包括:The optimization method includes:
步骤1:计算一天内多条弹道海上测控弧段首尾向下海面布船区域,分别取交集,并将布船区域交集进行网格粗分;Step 1: Calculate the ship deployment area of multiple ballistic maritime measurement and control arcs in one day, and take the intersection respectively, and roughly divide the intersection of the ship deployment area into a grid;
步骤2:循环遍历计算区域中每一个粗分网格对测控弧段的可见性和链路通信情况,记录满足要求的粗网格;Step 2: Loop through the visibility and link communication status of each coarse grid in the calculation area for the measurement and control arc, and record the coarse grids that meet the requirements;
步骤3:将满足条件的粗网格按照精度要求进行网格细分,获得细网格;Step 3: Subdivide the coarse grid that meets the conditions according to the accuracy requirements to obtain a fine grid;
步骤4:在满足条件的粗网格中,循环遍历计算每一个细网格对测控弧段的可见性和链路通信情况,记录满足要求的细网格;Step 4: In the coarse grid that meets the conditions, loop through and calculate the visibility and link communication of each fine grid to the measurement and control arc, and record the fine grid that meets the requirements;
步骤5:重复步骤3、步骤4,直到细网格的网格精度满足任务要求停止计算;Step 5: Repeat step 3 and step 4 until the grid accuracy of the fine grid meets the task requirements and stop the calculation;
步骤6:记录连续N天的满足约束的细网格,获得精细网格点,并剔除不符合要求的船位点;Step 6: Record the fine grid that meets the constraints for N consecutive days, obtain the fine grid points, and eliminate the ship's position points that do not meet the requirements;
步骤7:根据符合要求的精细网格点,计算部署区域所形成的外接凸多边形;Step 7: Calculate the circumscribed convex polygon formed by the deployment area according to the fine grid points that meet the requirements;
则该多边形内区域为一艘测量船连续N天对多弹道进行测控要求的区域。Then the area inside the polygon is the area where a survey ship needs to measure and control multiple trajectories for N consecutive days.
其中,所述步骤1中,计算第一天多条弹道海上飞行段的起点对应的多个海面布船区域,取区域的交集为区域A;同时计算第一天多条弹道海上飞行段的终点对应的多个海面布船区域,取区域的交集为区域B。Wherein, in the step 1, calculate a plurality of sea surface ship deployment areas corresponding to the starting point of multiple ballistic sea flight segments on the first day, take the intersection of the areas as area A; simultaneously calculate the end points of multiple ballistic sea flight segments on the first day For the corresponding multiple ship deployment areas on the sea, the intersection of the areas is taken as area B.
其中,所述步骤1中,有两种情况:第一种情况,若区域A和区域B有交集区域C,则在区域C布设一艘测量船即可满足第一天的测控要求;第二种情况,若区域A和区域B没有交集,则说明该任务需要两艘或以上的测量船进行测控。Wherein, in the step 1, there are two cases: the first case, if there is an intersection area C between area A and area B, then deploying a survey ship in area C can meet the measurement and control requirements on the first day; In this case, if there is no intersection between area A and area B, it means that the task requires two or more survey ships for measurement and control.
其中,所述步骤1的第一种情况下,因区域较小且仅需要一艘测量船,可按照计算精度要求将区域C进行经、纬划分,直接形成多个精细网格,并根据步骤2循环遍历计算区域C中每一个精细网格对测控弧段的可见性和链路通信情况,记录能够满足全弧段可见性与链路通信的精细网格。Wherein, in the first case of step 1, because the area is small and only one survey ship is needed, the area C can be divided into longitude and latitude according to the calculation accuracy requirements, directly forming multiple fine grids, and according to the step 2 Cycle through and calculate the visibility and link communication of each fine grid in area C to the measurement and control arc, and record the fine grid that can satisfy the visibility and link communication of the entire arc.
其中,所述步骤1的第二种情况下,将区域A和区域B进行初步经、纬网格粗分,并根据步骤2循环遍历计算区域A中测量船SA对相应测控弧段的可见性和链路通信情况,同时计算区域B中测量船SB对应的测控弧段的可见性和链路通信情况;找到能够满足对火箭弹道测控全覆盖的区域A中的网格M1Ai和区域B中的网格M1Bj,形成粗网格对M1Ai和M1Bj。Wherein, in the second case of step 1, area A and area B are roughly divided into longitude and latitude grids, and the visibility of the survey ship S A in area A to the corresponding measurement and control arc is calculated according to step 2. At the same time, calculate the visibility and link communication conditions of the measurement and control arc corresponding to the measurement ship S B in area B; find the grid M 1 A i in area A that can meet the full coverage of rocket trajectory measurement and control and the mesh M 1 B j in region B, forming a coarse mesh pair M 1 A i and M 1 B j .
其中,所述步骤3及步骤4中,将找到的所有粗网格对M1Ai和M1Bj进行网格细分,循环遍历计算每一个细分网格中测量船SA对相应测控弧段的可见性和链路通信情况,以及测量船SB对应的测控弧段的可见性和链路通信情况,记录在区域A和区域B的粗网格对中能够满足全弧段可见性与链路通信的细网格对。Wherein, in the step 3 and step 4, all the coarse grid pairs M 1 A i and M 1 B j found are subdivided into grids, and the corresponding pairs of the surveying ship S A in each subdivided grid are calculated by cyclic traversal. The visibility and link communication of the TT&C arc, as well as the visibility and link communication of the TT&C arc corresponding to the survey ship S B , are recorded in the coarse grid pair of area A and area B to meet the requirement that the entire arc can be seen Fine mesh pairs for sex and link communication.
其中,所述步骤5中,对细网格对再进一步划分,重复步骤3、步骤4,直到网格精度满足任务要求,且同时满足对相应测控弧段可见性和链路通信全覆盖时停止计算,记录所有找到的细网格对M1SAi和M1SBj。Wherein, in the step 5, the fine grid pairs are further divided, and the steps 3 and 4 are repeated until the grid accuracy meets the task requirements, and at the same time, the visibility of the corresponding measurement and control arc segment and the full coverage of the link communication are satisfied. Calculate and record all found fine grid pairs M 1 SA i and M 1 SB j .
其中,所述步骤6中,按照步骤1~步骤5的方法,分别计算对第二天、第三天…、第N天发射弹道的测控覆盖性能;记录第二天、第三天…、第N天的满足可见性和链路通信约束的细网格对M2SAi和M2SBj,M3SAi和M3SBj…,MNSAi和MNSBj。Wherein, in the step 6, according to the method of steps 1 to 5, respectively calculate the measurement and control coverage performance of the launch trajectory on the second day, the third day..., and the Nth day; record the second day, the third day..., the Nth day N-day fine grid pairs M 2 SA i and M 2 SB j , M 3 SA i and M 3 SB j ... , M N SA i and M N SB j satisfying visibility and link communication constraints.
其中,所述步骤6中,根据测量船每天移动的距离D为半径,以第一天布船区域中的某一细网格M1SAi为圆心做圆,该圆所覆盖的区域与第二天的布船区域的交集即为第二天测量船对应某一网格的可布设区域,对第一天布船区域中所有网格遍历计算,可得到测量船第一天布船区域中每个细网格对应的第二天布船区域,获得第二天对应的测量船布船精细网格点;Wherein, in the step 6, according to the distance D that the measuring ship moves every day as the radius, a circle is made with a certain fine grid M 1 SA i in the ship deployment area on the first day as the center of the circle, and the area covered by the circle is the same as that of the second The intersection of the two-day ship deployment area is the layout area corresponding to a certain grid of the survey ship on the second day. For all the grid traversal calculations in the first day ship deployment area, the survey ship in the first day ship deployment area can be obtained Each fine grid corresponds to the next day's ship deployment area, and the corresponding survey ship's fine grid points are obtained on the second day;
然后按照上述方式计算第三天、…、第N天对应的测量船布船精细网格点。Then calculate the fine grid points of the survey ship and ship corresponding to the third day, ..., and the Nth day according to the above method.
其中,所述步骤7中,对于步骤6中记录下来的精细网格点,按照如下规则计算测量船船位布设区域所形成的外接凸多边形;Wherein, in the step 7, for the fine grid points recorded in the step 6, the circumscribed convex polygon formed by the surveying ship's position layout area is calculated according to the following rules;
将所有离散点构建的区域包络起来形成最终的船位布设区域;定义坐标系经度轴为X轴,纬度轴为Y轴;Envelop the area constructed by all discrete points to form the final ship position layout area; define the longitude axis of the coordinate system as the X axis, and the latitude axis as the Y axis;
计算过程如下:The calculation process is as follows:
1)对于所述步骤6中记录下来的各自处于离散状态的精细网格点,在离散点中,找到一点,保证y坐标最大情况下,x坐标最小点,记为A1点;1) For the fine grid points that are respectively in discrete states recorded in the step 6, in the discrete points, find a point to ensure that the y coordinate is the largest, and the x coordinate minimum point is denoted as A 1 point;
2)以A1点为原点,X轴正向射线A1x顺时针扫描,找到旋转角最小时扫描到的点,记为B1点;2) With point A 1 as the origin, X-axis scans clockwise along the positive ray A 1 x, find the point scanned when the rotation angle is the smallest, and record it as point B 1 ;
3)以B1点为原点,A1B1方向射线A1B1顺时针扫描,找到旋转角最小时扫描到的点,记作C1点;3) Take point B1 as the origin, scan the ray A 1 B 1 clockwise in the direction of A 1 B 1 , and find the point scanned when the rotation angle is the smallest, which is recorded as point C 1 ;
4)以C1点为原点,B1C1方向射线B1C1顺时针扫描,找到旋转角最小时扫描到的点,记为D1点;4) Take point C 1 as the origin, scan the ray B 1 C 1 in the direction of B 1 C 1 clockwise, and find the point scanned when the rotation angle is the smallest, which is recorded as point D 1 ;
以此类推,直到找到起始点A1;由此形成起始点为A1点,最重点也为A1点的外接凸多边形。By analogy, until the starting point A 1 is found; thus, a circumscribed convex polygon whose starting point is A 1 and the most important point is also A 1 is formed.
实施例1Example 1
以运载火箭发射至星箭分离前后,运载火箭海上飞行段需要1艘以上测量船完成多天、多条发射弹道在一定区间内的连续跟踪测控为例,结合附图对本发明的具体实施进行说明。具体步骤如下:Taking the launch of the carrier rocket before and after the separation of the satellite and the rocket, more than one survey ship is required to complete the continuous tracking, measurement and control of multiple launch trajectories within a certain interval for multiple days and multiple launch trajectories in the sea flight section of the carrier rocket. The specific implementation of the present invention will be described in conjunction with the accompanying drawings . Specific steps are as follows:
步骤一、计算第一天多条弹道海上飞行段的起点对应的多个海面布船区域,取区域的交集为区域A;同时计算第一天多条弹道海上飞行段的终点对应的多个海面布船区域,取区域的交集为区域B。Step 1. Calculate the multiple sea surface ship deployment areas corresponding to the starting points of the multiple ballistic sea flight segments on the first day, and take the intersection of the areas as area A; at the same time calculate the multiple sea surface corresponding to the end points of the multiple ballistic sea flight segments on the first day For the ship deployment area, take the intersection of the areas as area B.
此时有两种情况:第一种情况,若区域A和区域B有交集区域C,则在区域C布设一艘测量船即可满足第一天的测控要求;第二种情况,若区域A和区域B没有交集,则说明该任务需要两艘或以上的测量船进行测控。There are two situations at this time: in the first case, if there is an intersection area C between area A and area B, then deploying a survey ship in area C can meet the measurement and control requirements on the first day; in the second case, if area A If there is no intersection with area B, it means that the task requires two or more survey ships for measurement and control.
步骤二、第一种情况下,因区域较小且仅需要一艘测量船,可按照计算精度要求将区域C进行经、纬划分,形成多个精细网格,循环遍历计算区域C中每一个网格对关键弧段的可见性和链路通信情况,记录能够满足全弧段可见性与链路通信的网格。Step 2. In the first case, because the area is small and only one survey ship is needed, the area C can be divided into longitude and latitude according to the calculation accuracy requirements to form multiple fine grids, and loop through each of the calculation area C The visibility and link communication of the grid to the key arc, and the grid that can meet the visibility and link communication of the entire arc are recorded.
步骤三、第二种情况下,将区域A和区域B进行初步经、纬网格粗分,循环遍历计算区域A中测量船SA对相应测控弹道的可见性和链路通信情况,同时计算区域B中测量船SB对应的测控弹道的可见性和链路通信情况。找到能够满足对火箭弹道测控全覆盖的区域A中的网格M1Ai和区域B中的网格M1Bj,形成粗网格对M1Ai和M1Bj;Step 3. In the second case, carry out rough division of latitude and longitude grids in area A and area B, loop through and calculate the visibility and link communication of the measurement ship S A in area A to the corresponding measurement and control trajectory, and calculate at the same time Visibility and link communication of the TT&C trajectory corresponding to the survey ship S B in area B. Find the grid M 1 A i in area A and the grid M 1 B j in area B that can meet the full coverage of rocket trajectory measurement and control, and form a coarse grid pair M 1 A i and M 1 B j ;
网格粗分方法如下,以海上飞行段起点对应的海面布船圆形区域为例:The rough grid division method is as follows, taking the circular area of the sea surface corresponding to the starting point of the sea flight segment as an example:
计算该圆形区域的直径D,经过多次任务分析,D的值在1000公里到3000公里之间。为了保证第一次粗分的计算效率,经过多次计算试验得出,当D∈(1000,2000)公里时,粗分网格步长d为100公里;当D∈(2000,3000)公里时,粗分网格步长d为200公里;Calculate the diameter D of the circular area. After multiple mission analysis, the value of D is between 1000 kilometers and 3000 kilometers. In order to ensure the calculation efficiency of the first rough division, after several calculation experiments, it is found that when D∈(1000,2000) km, the rough division grid step size d is 100 km; when D∈(2000,3000) km When , the coarse grid step size d is 200 km;
步骤四、将步骤三中找到的所有粗网格对M1Ai和M1Bj进行网格细分,循环遍历计算每一个细分网格中测量船SA对相应测控弹道的可见性和链路通信情况,以及测量船SB对应的测控弹道的可见性和链路通信情况,记录在区域A和区域B的粗网格对中能够满足全弧段可见性与链路通信的细网格对。Step 4. Subdivide all the coarse grids found in step 3 to M 1 A i and M 1 B j , and loop through to calculate the visibility of the measurement ship S A to the corresponding measurement and control trajectory in each subdivision grid and link communication, as well as the visibility and link communication of the TT&C trajectory corresponding to the survey ship S B , recorded in the coarse grid pair of area A and area B, which can meet the requirements of full arc visibility and link communication. grid pair.
网格细分方法如下。The grid subdivision method is as follows.
如图1所示。A、B为海上飞行段起点和终点,圆C和圆D分别为起点、终点的海上覆盖区域,∠α为天线最大仰角值,起点星下点高度为h,O点为圆C和圆D圆心连线的中点。对于火箭发射海上测控任务来说,相关约束有测量船数量(N)、星下点距离(h),天线仰角范围、任务弧段长度等。根据相关约束条件得出:As shown in Figure 1. A and B are the starting point and ending point of the sea flight segment, circle C and circle D are the sea coverage area of the starting point and ending point respectively, ∠α is the maximum elevation angle value of the antenna, the starting point sub-satellite point height is h, point O is circle C and circle D The midpoint of the line connecting the centers of the circles. For the rocket launch maritime measurement and control mission, the relevant constraints include the number of survey ships (N), the distance to the sub-satellite point (h), the range of the antenna elevation angle, and the length of the mission arc. According to the relevant constraints:
细分网格步长d'为:The subdivision grid step size d' is:
d'=d·Δd'=d·Δ
步骤五、对细网格再进一步划分,重复步骤四、步骤五,直到网格精度满足任务要求,且同时满足对相应测控弹道可见性和链路通信全覆盖时停止计算,记录所有找到的精细网格对M1SAi和M1SBj。Step 5, further divide the fine grid, repeat steps 4 and 5, until the grid accuracy meets the task requirements, and at the same time meet the full coverage of the corresponding measurement and control trajectory visibility and link communication, stop calculation, and record all found fine grids. Mesh pairs M 1 SA i and M 1 SB j .
步骤六、按照步骤一~步骤五的方法,分别计算对第二天、第三天…、第N天发射弹道的测控覆盖性能。记录第二天、第三天…、第N天的满足可见性和链路通信约束的细网格对M2SAi和M2SBj,M3SAi和M3SBj…,MNSAi和MNSBj;Step 6. According to the methods in steps 1 to 5, respectively calculate the measurement and control coverage performance of the launch trajectory on the second day, the third day..., and the Nth day. Record the fine grid pairs M 2 SA i and M 2 SB j , M 3 SA i and M 3 SB j ..., M N that satisfy the visibility and link communication constraints on the second day , the third day..., the N day SA i and M N SB j ;
步骤七、根据测量船每天移动的距离D为半径,以第一天布船区域中的某一网格M1SAi为圆心做圆,该圆所覆盖的区域与第二天的布船区域的交集即为第二天测量船对应某一网格的可布设区域,对第一天布船区域中所有网格遍历计算,可得到测量船第一天布船区域中每个网格对应的第二天布船区域。Step 7. According to the distance D that the measuring ship moves every day as the radius, make a circle with a certain grid M 1 SA i in the ship deployment area on the first day as the center of the circle. The area covered by the circle is the same as the ship deployment area on the second day The intersection of the survey ship is the layout area corresponding to a certain grid of the survey ship on the second day, and the traversal calculation of all the grids in the ship deployment area on the first day can be obtained. The next day the boat area.
步骤八、按照步骤七的方法计算第三天、…、第N天对应的测量船布船精细网格点。Step 8. According to the method of step 7, calculate the fine grid points of the survey ship and ship corresponding to the third day, ..., the Nth day.
步骤九、对于步骤八中记录下来的点,按照如下规则计算测量船船位布设区域所形成的外接凸多边形。Step 9. For the points recorded in step 8, calculate the circumscribed convex polygon formed by the location layout area of the survey ship according to the following rules.
将所有离散点构建的区域包络起来形成最终的船位布设区域。计算方法如图2所示,图中X轴为经度轴,Y轴为纬度轴。Envelope the area constructed by all discrete points to form the final ship position layout area. The calculation method is shown in Figure 2, where the X-axis in the figure is the longitude axis and the Y-axis is the latitude axis.
计算过程如下:The calculation process is as follows:
1)找到离散点中,保证y坐标最大情况下,x坐标最小点,记为A点;1) Among the discrete points, when the y coordinate is guaranteed to be the largest, the point with the smallest x coordinate is recorded as point A;
2)以A点为原点,X轴正向射线Ax顺时针扫描,找到旋转角最小时扫描到的点,记为B点;2) With the point A as the origin, the X-axis scans the forward ray Ax clockwise, and finds the point scanned when the rotation angle is the smallest, which is recorded as point B;
3)以B点为原点,AB方向射线AB顺时针扫描,找到旋转角最小时扫描到的点,记作C点;3) Take point B as the origin, scan the ray AB clockwise in the direction of AB, find the point scanned when the rotation angle is the smallest, and record it as point C;
4)以C点为原点,BC方向射线BC顺时针扫描,找到旋转角最小时扫描到的点,记为D点;4) Take point C as the origin, scan the ray BC clockwise in the BC direction, and find the point scanned when the rotation angle is the smallest, which is recorded as point D;
以此类推,直到找到起始点A。And so on until the starting point A is found.
步骤十、若在步骤五中直到网格精度达到任务要求时仍没有找到网格对M1Ai和M1Bj,则说明需要至少三艘测量船进行测控任务。此时,取各弹道海上飞行测控段首尾中间点在海面的测控区域的交集D为第三艘测量船的可布设区域。将区域A、B、D按照步骤四~步骤十的方法进行由粗到细的网格划分,并同时计算测量船SA、测量船SB和测量船SD所对应的测控弹道的可见性和链路通信情况。记录连续N天能够对火箭弹道全覆盖的网格对,并根据测量船每天移动距离约束找到合适的船位部署区域。Step 10. If the grid pair M 1 A i and M 1 B j is not found until the grid accuracy meets the task requirements in step 5, it means that at least three survey ships are needed to carry out the measurement and control task. At this time, take the intersection D of the measurement and control area where the middle point of the head and tail of each ballistic sea flight measurement and control section is on the sea surface as the deployable area of the third measurement ship. Divide areas A, B, and D into grids from coarse to fine according to the method of step 4 to step 10, and simultaneously calculate the visibility of the measurement and control ballistics corresponding to the survey ship S A , survey ship S B and survey ship S D and link communications. Record the grid pairs that can fully cover the rocket trajectory for N consecutive days, and find a suitable ship deployment area according to the daily moving distance constraints of the measuring ship.
以上所述仅是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明技术原理的前提下,还可以做出若干改进和变形,这些改进和变形也应视为本发明的保护范围。The above is only a preferred embodiment of the present invention, it should be pointed out that for those of ordinary skill in the art, without departing from the technical principle of the present invention, some improvements and modifications can also be made. It should also be regarded as the protection scope of the present invention.
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