• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Aerospace and Electronic Systems >The GPS equations and the Problem of Apollonius
【24h】

The GPS equations and the Problem of Apollonius

机译：GPS方程和Apollonius问题

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

By relating the Global Positioning System (GPS) problem of location to the ancient Problem of Apollonius, this work presents a closed solution to the pseudorange positioning problem for two and three dimensions The positioning problem, given by a set of nonlinear equations, has been reduced to the solution of a quadratic equation. The resulting expressions yield either two or one physically meaningful solutions for both the two- and three-dimensional problems. Expressions for the boundary curves and surfaces that separate the one-solution domain from the two-solution domains are also given. Asymptotic lines and planes for the boundary curves and surfaces have also been derived.
机译：通过将全球定位系统（GPS）的位置问题与古老的Apollonius问题相关联，这项工作为二维和三维的伪距定位问题提供了一个封闭的解决方案。由一组非线性方程式给出的定位问题已得到减少二次方程的解所得的表达式针对二维和三维问题产生两个或一个物理上有意义的解。还给出了将一溶液域与两溶液域分开的边界曲线和曲面的表达式。还导出了边界曲线和曲面的渐近线和平面。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号