Iranian Aerospace Society -Aerospace Research InstituteSpace Science and Technology2008-456015420220824Miss Distance Analysis of First-Order Explicit Guidance Law with/without Radome effectMiss Distance Analysis of First-Order Explicit Guidance Law with/without Radome effect11815543810.30699/jsst.2022.1385FAAmirhossein MirzaeiPh.D. Student, Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran0000-0003-3987-1295S. Hamid Jalali-NainiAssociate Professor, Department of Mechanical Engineering, Tarbiyat Modares of University, Tehran, Iran0000-0003-2716-2942Ali Arabian AraniPhD Student, Department of Mechanical Engineering, Tarbiat Modares University, Tehran, IranJournal Article20220108The miss distance analysis of the first-order explicit guidance law (EGL) is carried out using linearized equation of motion in the normalized form in order to obtain normalized miss distance curves. The initial heading error, constant target, acceleration limit, radome refraction error, and fifth-order binomial control system are considered. Moreover, body rate feedback is added to the explicit guidance law as a well-known classical compensation method of the radome effect as in proportional navigation. The analysis is performed for different values of the power of the alpha function, defined as the time decrease rate of the zero-effort miss to unit control input. As a special case, the EGL with unit power gives the first-order optimal guidance strategy for minimizing the integral of the square of the commanded acceleration during the total flight time. For the performance/stability analysis, the rms miss distance versus turning rate time constant and radome slope can be plotted for different values of the power of alpha function.The miss distance analysis of the first-order explicit guidance law (EGL) is carried out using linearized equation of motion in the normalized form in order to obtain normalized miss distance curves. The initial heading error, constant target, acceleration limit, radome refraction error, and fifth-order binomial control system are considered. Moreover, body rate feedback is added to the explicit guidance law as a well-known classical compensation method of the radome effect as in proportional navigation. The analysis is performed for different values of the power of the alpha function, defined as the time decrease rate of the zero-effort miss to unit control input. As a special case, the EGL with unit power gives the first-order optimal guidance strategy for minimizing the integral of the square of the commanded acceleration during the total flight time. For the performance/stability analysis, the rms miss distance versus turning rate time constant and radome slope can be plotted for different values of the power of alpha function.https://jsst.ias.ir/article_155438_9ea8d4188be8932f34c911b316a74129.pdf