Library · IAA RAS

Papers

Higher Stability of the Generalized Ill-posed Problem Solutions for the Navigation and Ballistic Support at Various Stages of a Spacecraft’s Flight

Transactions of IAA RAS, issue 44, 114–125 (2018)

Keywords: navigation and ballistic support, ill-posed problem, generalized ill-posed problem, space vehicle.

Abstract

We propose a way to increase stability of the solutions in cases of ill-posed problems when a spacecraft’s motion parameters are determined at different stages of its flight. Our concept is based on the preconditioned conjugate gradient method and uses the parametric approach. An example of the process to determine the motion parameters is made for a space vehicle launched to the orbit. It shows a possibility to provide the required accuracy characteristics in conditions of incomplete implementation of the planned orbit control scheme and in the conditions of the standard orbit control scheme on a short measuring base

Citation

Text

BibTeX

RIS

A. E. Tyulin, V. V. Betanov. Higher Stability of the Generalized Ill-posed Problem Solutions for the Navigation and Ballistic Support at Various Stages of a Spacecraft’s Flight // Transactions of IAA RAS. — 2018. — Issue 44. — P. 114–125.

@article{tyulin2018,
  abstract = {We propose a way to increase stability of the solutions in cases of ill-posed problems when a spacecraft’s motion parameters are determined at different stages of its flight. Our concept is based on the preconditioned conjugate gradient method and uses the parametric approach. An example of the process to determine the motion parameters is made for a space vehicle launched to the orbit. It shows a possibility to provide the required accuracy characteristics in conditions of incomplete implementation of the planned orbit control scheme and in the conditions of the standard orbit control scheme on a short measuring base},
  author = {A.~E. Tyulin and V.~V. Betanov},
  doi = {10.32876/ApplAstron.44.114-125},
  issue = {44},
  journal = {Transactions of IAA RAS},
  keyword = {navigation and ballistic support, ill-posed problem, generalized ill-posed problem, space vehicle},
  pages = {114--125},
  title = {Higher Stability of the Generalized Ill-posed Problem Solutions for the Navigation and Ballistic Support at Various Stages of a Spacecraft’s Flight},
  url = {http://iaaras.ru/en/library/paper/1806/},
  year = {2018}
}

TY  - JOUR
TI  - Higher Stability of the Generalized Ill-posed Problem Solutions for the Navigation and Ballistic Support at Various Stages of a Spacecraft’s Flight
AU  - Tyulin, A. E.
AU  - Betanov, V. V.
PY  - 2018
T2  - Transactions of IAA RAS
IS  - 44
SP  - 114
AB  - We propose a way to increase stability of the solutions in cases of
ill-posed problems when a spacecraft’s motion parameters are
determined at different stages of its flight. Our concept is based on
the preconditioned conjugate gradient method and uses the parametric
approach. An example of the process to determine the motion
parameters is made for a space vehicle launched to the orbit. It
shows a possibility to provide the required accuracy characteristics
in conditions of incomplete implementation of the planned orbit
control scheme and in the conditions of the standard orbit control
scheme on a short measuring base
DO  - 10.32876/ApplAstron.44.114-125
UR  - http://iaaras.ru/en/library/paper/1806/
ER  -