Abstract
We develop an original system for controlling the mirror geometry of the Millimetron observatory as a part of the on-board scientific equipment. The system is designed to monitor the quality of the space telescope's mirror system and use the data received as feedback signals for presetting and adjusting the telescope's optical system in outer space. The system aims to determine a multi-dimensional vector of unknown parameters that define the state of the telescope's mirror system by indirect measurements of the telescope with a 3D scanner. An unparalleled mathematical model has been created, numerically describing a process of pre-measurement of the mirror system of the Millimetron Observatory using optical control marks on the surface of the mirror system. Using the mathematical model created and the geometric optics approximation, we numerically simulate the performance of the on-board 3D scanner in the course of preliminary measurements of the mirror system of the Millimetron Observatory using optical control marks applied on the mirror surfaces. A new effective method of pre-estimation of the displacement of elements of the AP telescope by indirect (implicit) measurements performed with the 3D scanner has been created. The method is based on the mathematical transformation of indirect measurements of deviations of the position of the telescope's mirror control marks from their reference position, which provides an easy-to-use list of estimates of the offsets of the unknown parameters of the mirror system elements. A possibility to measure the telescope's mirror system with the aim to pre-configure it using a 3D scanner on board the spacecraft is shown. Estimates of acceptable deviations of the mirror system component needed to ensure the telescope's functionality are given.
Highlights
We develop an original system for controlling the mirror geometry of the Millimetron observatory as a part of the on-board scientific equipment
The system is designed to monitor the quality of the space telescope's mirror system and use the data received as feedback signals for pre-setting and adjusting the telescope's optical system in outer space
The system aims to determine a multidimensional vector of unknown parameters that define the state of the telescope's mirror system by indirect measurements of the telescope with a 3D scanner
Summary
Антенна телескопа представляет собой 2зеркальную оптическую систему, построенную по схеме Кассегрена. В итоге, положение каждой ОП в модели телескопа задается 6 параметрами – тремя углами поворота объекта, а затем радиус-вектором смещения базовой точки объекта в ГСК. Описывающий положение всех ОП телескопа как вектор (набор) Х. По каждой обмеренной КМ на выходе 3D-сканера формируются 3 канала измерения (с индексами m = 0, 1, 2): m = 0 – длина оптического пути ДК до КМ; m = 1,2 – два угла системы зеркал 3D-сканера (СЗ) при точном прицеливании на КМ, – в результате обмера множества КМ получается набор измерений (по три измерения на каждую КМ), который обозначим как вектор Y; – известный (после обмера множества КМ) вектор Y будет использоваться для оценки и восстановления вектора неизвестных параметров телескопа X
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