An algorithm for numerical approximation is formulated using a Legendre pseudospectral method to solve the problem of constrained station relocation, changing current position to another longitude, in geostationaryequatorial orbit. The problem was stated as a Bolza form in optimal control theory to calculate the control. A collision avoidance term, which is included in the objective function as an integral form and serves as a soft constraint, is considered during transfer by specifying a maximum or minimum radius, depending on whether the transfer is in the east or west direction. Several east-and-west-direction station relocation maneuvers are simulated; the states and control behavior are obtained and all the variables are found to be within feasible ranges. This method would be possible to implement using very-low-thrust engines, in particular, by employing attitude control thrusters.
Constrained Station Relocation in Geostationary Equatorial Orbit Using a Legendre Pseudospectral Method
Journal of Guidance, Control, and Dynamics ; 38 , 4 ; 711-719
2015-04-01
Conference paper , Article (Journal)
Electronic Resource
English
Ultra-low Geostationary Equatorial Orbit (ULGEO) Sunbelts
European Patent Office | 2023
|Costate Estimation by a Legendre Pseudospectral Method
AIAA | 2001
|Costate estimation by a Legendre pseudospectral method
AIAA | 1998
|