Illustration of the primer vector in time- fixed, orbit transfer.

AIAA Journal ◽  
1969 ◽  
Vol 7 (6) ◽  
pp. 1167-1168 ◽  
Author(s):  
JOHN E. PRUSSING
Keyword(s):  
Author(s):  
John E. Prussing

Improving a nonoptimal trajectory is analysed, including adding terminal coasts and midcourse impulses in fixed-time trajectories. Orbit transfer is also analysed. If the primer vector evaluated along an impulsive trajectory fails to satisfy the necessary conditions (NC) for an optimal solution, the way in which the NC are violated provides information that can lead to a solution that does satisfy the NC. The necessary gradients were first derived by Lion and Handelsman.


2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Weijun Huang

The coplanar orbit transfer problem has been an important topic in astrodynamics since the beginning of the space era. Though many approximate solutions for power-limited orbit transfer problem have been developed, most of them rely on simplifications of the dynamics of the problem. This paper proposes a new approximation method called primer vector approximation method to solve the classic power-limited orbit transfer problem. This method makes no simplification on the dynamics, but instead approximates the optimal primer-vector function. With this method, this paper derives two approximate solutions for the power-limited orbit transfer problem. Numerical tests show the robustness and accuracy of the approximations.


1986 ◽  
Author(s):  
J. HERMEL ◽  
R. MEESE ◽  
W. ROGERS ◽  
R. KUSHIDA ◽  
J. BEATTIE
Keyword(s):  

2005 ◽  
Author(s):  
He Xingsuo ◽  
Wang Ping ◽  
Yuan Jianping ◽  
Lin Shengyong

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