Optimization of trajectory motion of the first stage of an aerospace system

The problems of optimizing the trajectory motion of the first stage of an aerospace system according to the criterion of the maximum of the final mass are considered. The control is the angle of attack and thrust of the engines. Control optimization is carried out on the trajectory section from the...

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Main Author: A. A. Khramov
Format: Article
Language:English
Published: Samara National Research University 2024-04-01
Series:Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение
Subjects:
Online Access:https://journals.ssau.ru/vestnik/article/viewFile/27330/10464
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author A. A. Khramov
author_facet A. A. Khramov
author_sort A. A. Khramov
collection DOAJ
description The problems of optimizing the trajectory motion of the first stage of an aerospace system according to the criterion of the maximum of the final mass are considered. The control is the angle of attack and thrust of the engines. Control optimization is carried out on the trajectory section from the point of bringing the first stage to the launch area until the motion parameters required for separation of the space stage are reached. The Pontryagin’s maximum principle is used to determine optimal control programs. The solution of the problem without restrictions on the modes of motion is carried out using the example of acceleration and climb of the first stage of the RASCAL aerospace system. A method is proposed for determining approximate optimal control in a problem with a limitation on the altitude range of the engines with separate optimization of the active and passive sections and the search for the optimal point of their coupling. Changes in control program, trajectory, and fuel consumption are discussed when limiting the maximum flight altitude in the active section.
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spelling doaj.art-45eedff927484a6e918d3208570cb4432024-04-17T05:51:27ZengSamara National Research UniversityВестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение2542-04532541-75332024-04-01231809210.18287/2541-7533-2024-23-1-80-928890Optimization of trajectory motion of the first stage of an aerospace systemA. A. Khramov0https://orcid.org/0009-0002-7342-1714Samara National Research UniversityThe problems of optimizing the trajectory motion of the first stage of an aerospace system according to the criterion of the maximum of the final mass are considered. The control is the angle of attack and thrust of the engines. Control optimization is carried out on the trajectory section from the point of bringing the first stage to the launch area until the motion parameters required for separation of the space stage are reached. The Pontryagin’s maximum principle is used to determine optimal control programs. The solution of the problem without restrictions on the modes of motion is carried out using the example of acceleration and climb of the first stage of the RASCAL aerospace system. A method is proposed for determining approximate optimal control in a problem with a limitation on the altitude range of the engines with separate optimization of the active and passive sections and the search for the optimal point of their coupling. Changes in control program, trajectory, and fuel consumption are discussed when limiting the maximum flight altitude in the active section.https://journals.ssau.ru/vestnik/article/viewFile/27330/10464air launchaerospace systemoptimal controlengine thrustangle of attackpontryagin’s maximum principle
spellingShingle A. A. Khramov
Optimization of trajectory motion of the first stage of an aerospace system
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение
air launch
aerospace system
optimal control
engine thrust
angle of attack
pontryagin’s maximum principle
title Optimization of trajectory motion of the first stage of an aerospace system
title_full Optimization of trajectory motion of the first stage of an aerospace system
title_fullStr Optimization of trajectory motion of the first stage of an aerospace system
title_full_unstemmed Optimization of trajectory motion of the first stage of an aerospace system
title_short Optimization of trajectory motion of the first stage of an aerospace system
title_sort optimization of trajectory motion of the first stage of an aerospace system
topic air launch
aerospace system
optimal control
engine thrust
angle of attack
pontryagin’s maximum principle
url https://journals.ssau.ru/vestnik/article/viewFile/27330/10464
work_keys_str_mv AT aakhramov optimizationoftrajectorymotionofthefirststageofanaerospacesystem