Optimal control choice of non-Keplerian orbits with low-thrust propulsion

2012 ◽  
Author(s):  
Olga L. Starinova ◽  
Dmitriy V. Kurochkin ◽  
Irina L. Materova
Keyword(s):  
Optimal Control ◽  
Low Thrust ◽  
Keplerian Orbits

scholarly journals Low-Thrust-Enabled Highly-Non-Keplerian Orbits in Support of Future Mars Exploration

2011 ◽  
Vol 34 (5) ◽  
pp. 1396-1411 ◽  
Author(s):  
Malcolm Macdonald ◽  
Robert J. McKay ◽  
Massimiliano Vasile ◽  
Francois Bosquillon de Frescheville ◽  
James Biggs ◽  
...  
Keyword(s):  
Low Thrust ◽  
Mars Exploration ◽  
Keplerian Orbits

scholarly journals Minimum-Fuel Planar Earth-to-Mars Low-Thrust Trajectories Using Bang-Bang Control

2021 ◽  
Author(s):  
Daero Lee
Keyword(s):  
Optimal Control ◽  
Boundary Value Problems ◽  
Electric Propulsion ◽  
Direct Method ◽  
Boundary Value ◽  
Specific Impulse ◽  
Direct Methods ◽  
Optimization Methods ◽  
Low Thrust ◽  
Primer Vector Theory

Recent advance in electric propulsion systems have demonstrated that these engines can be used for for long-duration interplanetary voyages. Constant specific impulse engine described as a thrust-limited engine is an example of this type of engine, processing the ability to operate at a constant level of impulse. The determination of minimum-fuel, planar heliocentric Earth-to-Mars low-thrust trajectories of spacecraft using a constant specific impulse is discussed considering the first-order necessary conditions derived from Lawden’s primer vector theory. The minimum-fuel low-thrust Earth-to-Mars optimization problem is then solved in two-dimensional, heliocentric frame using both indirect and direct methods. In the indirect method, two-point-boundary-value problems are derived to solve boundary value problems for ordinary differential equations. In the direct method, a general-purpose optimal control software called GPOPS-II is adopted to solve these optimal control problems. Numerical examples using two different optimization methods are presented to demonstrate the characteristics of minimum-fuel planar low-thrust trajectories with on-off-on thrust sequences at three chosen flight times and available maximum powers. The results are useful for broad trajectory search in the preliminary phase of mission designs.

scholarly journals Geometric optimal control of elliptic Keplerian orbits

2005 ◽  
Vol 5 (4) ◽  
pp. 929-956 ◽  
Author(s):  
B. Bonnard ◽  
◽  
J.-B. Caillau ◽  
E. Trélat ◽  
◽  
...  
Keyword(s):  
Optimal Control ◽  
Keplerian Orbits ◽  
Geometric Optimal Control
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