METHOD OF DETERMINING MODULUS OF VELOCITY OF BALLISTIC TARGET IN GROUND-BASED RADAR STATION

摘要

FIELD: radio engineering, communication.;SUBSTANCE: method comprises measuring range and altitude of a ballistic target through time intervals equal to the scanning period T₀ of radar stations; determining an estimate of the altitude of the ballistic target in the middle of the observation interval ${\widehat{z}}_{md}\mathop{\mathrm{image}}$ through weighted summation of N digital altitude measurements; determining an estimate of a second increment of the square of the range ${\widehat{\Delta }}_2{r}^2\mathop{\mathrm{image}}$ for scanning through weighted summation of N digital signals of squares of range; determining the geocentric angle between the radar station and the ballistic target in the middle of the observation interval using the formula ${\gamma }_{md}=ta{n}^{-1}\frac{\sqrt{r_{md}^2-{\widehat{z}}_{md}^2}}{R_E+{\widehat{z}}_{md}},\mathop{\mathrm{image}}$ where r_md is the range to the ballistic target in the middle of the observation interval, R_E is the radius of the Earth; determining gravitational acceleration in the middle of the observation interval using the formula $g_{md}=g_0{\left(\frac{R_{E}cos{\gamma }_{md}}{R_E+{\widehat{z}}_{md}}\right)}^2,\mathop{\mathrm{image}}$ where g₀ is the gravitational acceleration on the surface of the Earth; determining the modulus of the velocity of the ballistic target in the middle of the observation interval on an unperturbed passive area of the trajectory using the formula $V_{md}=\sqrt{\frac{{\widehat{\Delta }}_2{r}^2}{T_0{}^2}+\frac{g_{md}}{cos{\gamma }_{md}}\left({\widehat{z}}_{md}+R_{E}si{n}^2{\gamma }_{md}\right)-\frac{3N^2-13}{56}{\left(g_{md}cos{\gamma }_{md}{T}_0\right)}^2}.\mathop{\mathrm{image}}$;EFFECT: high accuracy of determining the modulus of velocity of a ballistic target in ground-based radar stations with rough measurements of elevation and bearing angles.;4 dwg, 2 tbl