State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit

2003 ◽  
Vol 26 (6) ◽  
pp. 956-971 ◽  
Author(s):  
Dong-Woo Gim ◽  
Kyle T. Alfriend
Keyword(s):  
Relative Motion ◽  
Transition Matrix ◽  
State Transition ◽  
State Transition Matrix ◽  
Reference Orbit

scholarly journals Approximate State Transition Matrix and Secular Orbit Model

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
M. P. Ramachandran
Keyword(s):  
Orbit Determination ◽  
Transition Matrix ◽  
Numerical Experiments ◽  
State Transition ◽  
Orbital Motion ◽  
The State ◽  
State Transition Matrix ◽  
Reference Orbit ◽  
Determination System ◽  
Orbit Model

The state transition matrix (STM) is a part of the onboard orbit determination system. It is used to control the satellite’s orbital motion to a predefined reference orbit. Firstly in this paper a simple orbit model that captures the secular behavior of the orbital motion in the presence of all perturbation forces is derived. Next, an approximate STM to match the secular effects in the orbit due to oblate earth effect and later in the presence of all perturbation forces is derived. Numerical experiments are provided for illustration.

Numerical Algebra Solution: A New Algorithm for the State Transition Matrix

2017 ◽  
Vol 60 (12) ◽  
pp. 2620-2629 ◽  
Author(s):  
Wenfeng Nie ◽  
Tianhe Xu ◽  
Yujun Du ◽  
Fan Gao ◽  
Guochang Xu
Keyword(s):  
Transition Matrix ◽  
State Transition ◽  
The State ◽  
State Transition Matrix ◽  
Numerical Algebra
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