New fractal math tool providing simultaneous reorientation and acceleration of spacecraft

Quaternion based math system of spacecraft reorientation is extended by admitting imaginary rotation parameters, thus involving hyperbolic functions. For simplicity only one simple hyperbolic rotation is added as the last one in the series of orthogonal matrices. The scheme is reduced to a single rotation about instant axis, and to transformation of primitive basis on a 2D fractal space of dimension ½. This new tool is proved to simultaneously reorient the spacecraft and to accelerate it the kinematics automatically described as relativistic. With a small speed the problem becomes a classical one. © 2017 IAA

Авторы
Редакторы
-
Журнал
Издательство
Elsevier Ltd
Номер выпуска
-
Язык
Английский
Страницы
481-485
Статус
Опубликовано
Подразделение
-
Номер
-
Том
139
Год
2017
Организации
  • 1 Institute of Gravitation and Cosmology of Peoples Friendship University of Russia, Russian Federation
Ключевые слова
Fractal math tool; Quaternion; Relativistic kinematics; Spacecraft orientation and acceleration
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5272/