. There is investigated the opportunity to find the moving obj ect bearing angle using radio beacon signals polarized within the left and right circles. Signals are illuminated simultaneously from two space diversed in the horizontal plane points. Amplitude -phase processing of the vector signals received onboard the m oving object and treated in the linear and circular polarized bases is utilized in order to find the bearing angle. 1. Introduction In the practical navigation in order to find the moving object (MO) bearing angle there are used amplitude, frequency and time characteristics of the radio bacon signals [1]. The vector nature of the signals in the radio bacon systems (RBS) practically is not taken into consideration [2]. In [3] there was suggested a polarization method of the MO bearing angle measurement. The id ea of the method is following. A radio bacon simultaneously illuminates signals with the vertical and horizontal polarization from two points horizontally separated by the distance d . Amplitudes, initial phases and the wave length of the illuminated signals are the same. The signals are received onboard the MO in the linear polarization basis (LPB). The phase difference of the signals  is measured after the polarization separation. The bearing angle  is the angle between the normal at the d half distance and the direction to the MO [3]: arcsin ,2nd     (1) where 0,1 ,2...n  - the wave length of the illuminated orthogonal polarize d waves. In the paper there is investigated the opportunity to use the orthogonal polarized signals within the left and right circles to measure the MO bearing angle. The choice of the polarization basis of the illuminated and received vector signals depen ds on peculiarities of the technical problem. 2. The m ethod of the problem solution and the main relations Let’s see the case when the bacon illuminates simultaneously signals with circle polarization equal amplitudes and initial phases and the same frequenci es. The resulting vector signals are received onboard the MO in LPB. The resulting wave in the direction  can be written as follows [4]: 11 1,2j pEejj             where 2sind  - the phase difference between or thogonal left and right polarized waves at the point of the reception onboard the MO. After dividing the phase shift  equally between the two waves the resulting wave is [4]: cos2. sin2   pE (2) The equation (2 ) shows that the resulting wave is always polarized linearly and its orientation on the polarization plate depends on the phase shift  . Its intensity does not depend on the direction of illumination as the waves are orthogonal. The result ing wave is received onboard the MO with the antenna and UHF tract with linear polarization divider (LPD) . Let’s use the known formalism of Jones’s vector s and matrix es [5] treatment to describe the inte raction of the resulting wave (2 ) and the elements of LPD. In such a case XE and YE at the LPD output can be found as: 1 ,XPEПE (3) 2 ,YPEПE (4) where 110 00П - is the Jones’s operator of the LPD first sh oulder with its own horizontal polarization; 200 01П - is the Jones’s operator of the LPD second shoulder with its own vertical polarization. After calculation ( 3) and ( 4) the orthogonal linearly polarized components XE and YE at the LPD output are: cos,2 0XE   (5) 0 . sin2YE  (6) Formu las (5) and (6 ) allow to calculate phases X and Y as well as the components XE and YE ratio YXAA at the output of the two -canal receiver with the linear amplitude characteristic and the linear detector: 0,XY   sin 2tg .cos 2 2Y XA A  Then 2arctg 2 ,Y XAnA   (7) where 0,1 ,2,n . After putting ( 7) in to ( 1) the MO bearing angle  is arcsin arctg .   Y XAndA (8) In case of the two -canal receiver with the logarithmic amplitude characte ristic and linear detector (8) becomes lg arcsin arctg10 .   Y XA And Let’s investigate the case when the resulting wave (2 ) is received onboard the MO in the circle polarization basis (CPB). The wave ( 2) can be presented by two orthogonal polarized left LE and right RE vectors. Let’s find amplitudes LA and RA , phases L and R of the components LE and RE and then find their dependence on the MO bearing angle  . The Jones vector PE (2) can be found onboard the MO by the transformation (in the circle sin - phase polarization b asis when the time dependence is neglected):  ,L LR P REEE E     (9) where 11 12j j - is the operator of the transition from LPB to СPB [5]. After calculation (9 ) there are received orthogonal polarized left LE and right RE vectors at the input of the two -canal receiver: 1cos sin ,22 2LEj  (10) 1cos sin .22 2REj  (11) Amplitudes LA , RA and phases L , R of the signals (10 ) and (1 1) are: 1; 2LA sin 2arctg ,cos 2L  1; 2RA sin 2arctg .cos 2R The phase difference RL after transformation looks like .RL R L    (12) Analysis of (12 ) shows that the phase difference RL between orthogonal polarized components LE and RE is equal to the sought -for phase difference  between the orthogonal polarized radio beacon signals at the point of the reception – at the input of the MO receiving antenna. The MO bearing angle  is calculated by putting (12 ) in ( 1):  arcsin ,2RL nd   where n=0,1,2,… 3. Conclusion 1. In case when orthogonal polarized by circle beacon signals are received onboard a moving object within the linearly polarized basis information about the bearing angle is in amplitude relations of the sin-phase or thogonal linearly polarized components of the received resulting wave. 2. In case when orthogonal polarized by circle beacon signals are received onboard a moving object within the circled polarized basis information about the bearing angle is in phase rel ations of the sin - phase orthogonal linearly polarized components of the received resulting wave. 3. Choice of the polarization basis in which should be presented the illuminated by the beacon and received on board the moving object vector signals depends o n the peculiarities of the technical problem under solution and by the mathematic analysis comfort. Acknowledgments This study was supported by the Ministry of Science and Education of the Russian Federation, project no. FEWM -2020 -0039.