CAJ | 학술논문

针对北斗GE O用户算法需要进行5°倾角的坐标旋转处理这一过程，提出了采用经典广播星历参数用户算法直接解算北斗GE O卫星位置的改进方法，并同时给出了相应的基于第二类无奇点根数的广播星历拟合算法。该算法采用第二类无奇点轨道根数代替经典轨道根数，解决了由GE O轨道的小倾角特性引起的经典广播星历参数拟合过程中法化矩阵奇异的问题。从而避免了北斗GE O用户算法中坐标旋转处理过程，减少了GE O用户算法的计算步骤。仿真表明，提出的改进方法在卫星轨道拟合过程中与原算法精度相当；在卫星轨道外推过程中与原算法相比略有精度损失，但仍满足用户导航定位精度的需求。采用实际北斗GE O星历解算的轨道数据验证了改进算法的有效性。
침대북두GE O용호산법수요진행5°경각적좌표선전처리저일과정，제출료채용경전엄파성력삼수용호산법직접해산북두GE O위성위치적개진방법，병동시급출료상응적기우제이류무기점근수적엄파성력의합산법。해산법채용제이류무기점궤도근수대체경전궤도근수，해결료유GE O궤도적소경각특성인기적경전엄파성력삼수의합과정중법화구진기이적문제。종이피면료북두GE O용호산법중좌표선전처리과정，감소료GE O용호산법적계산보취。방진표명，제출적개진방법재위성궤도의합과정중여원산법정도상당；재위성궤도외추과정중여원산법상비략유정도손실，단잉만족용호도항정위정도적수구。채용실제북두GE O성력해산적궤도수거험증료개진산법적유효성。
The orbital inclination of 5 °coordinate rotation is required in the GEO ephemeris algorithm for users.Aimed at this step,an improved method that the BeiDou GEO satellite position is calculated directly by using the classical broadcast ephemeris algorithm for user was presented,and meanwhile the corresponding broadcast ephemeris fitting algorithm based on the second class of non-singularity orbit elements was given.In this method,the classical orbit elements were replaced by the second class of non-singular orbit elements,which solves the problem that the coefficient matrix is non-positive in the process of the classical broadcast ephemeris fitting algorithm because of the small inclination angle.This avoids the orbital inclination of 5 °coordinate rotation process,decreases the calculating steps time and enhances the GEO ephemeris algorithmic efficiency.The simulation results show that the accuracy of the improved method is as much as the original algorithm in the satellite orbit fitting process and is reduced slightly in the satellite orbit extrapolation process.But it can still meet the requirement of navigation and position for users. Finally,the validity of the improved algorithm is verified by using orbital data of the actual BeDou GEO broadcast ephemeris.