Zero, minimum and maximum relative radial acceleration for planar formation flight dynamics near triangular libration points in the Earth–Moon system

2014 ◽  
Vol 54 (9) ◽  
pp. 1838-1857 ◽  
Author(s):  
F.J.T. Salazar ◽  
J.J. Masdemont ◽  
G. Gómez ◽  
E.E. Macau ◽  
O.C. Winter
Keyword(s):  
Flight Dynamics ◽  
Formation Flight ◽  
Libration Points ◽  
Radial Acceleration ◽  
Moon System ◽  
The Earth ◽  
Triangular Libration Points

Stabilization of collinear libration points in the earth-moon system

1999 ◽  
Vol 63 (2) ◽  
pp. 189-196 ◽  
Author(s):  
A.A. Dzhumabayeva ◽  
A.L. Kunitsyn ◽  
A.T. Tuyakbayev
Keyword(s):  
Libration Points ◽  
Moon System ◽  
The Earth

A dynamical equivalent to the equilateral libration points of the earth-moon system

1991 ◽  
Vol 50 (1) ◽  
pp. 13-29 ◽  
Author(s):  
Carles D�ez ◽  
�ngel Jorba ◽  
Carles Sim�
Keyword(s):  
Libration Points ◽  
Moon System ◽  
The Earth

Motion Control of Electric Propulsion Spacecraft Transfers between the Libration Points L1 and L2 of the Earth–Moon System

2019 ◽  
pp. 66-74
Author(s):  
M.K. Fain ◽  
O.L. Starinova
Keyword(s):  
Electric Propulsion ◽  
Optimal Solution ◽  
Libration Points ◽  
Coordinate Frame ◽  
Control Laws ◽  
Moon System ◽  
The Earth ◽  
Nonlinear Motion ◽  
Sequential Linearization ◽  
L1 And L2

This article presents a study of nonlinear motion of an electric propulsion spacecraft. Spacecraft transfers between the libration points L1 and L2 of the Earth-Moon system are analyzed. The influence of the shaded areas and gravitational effects of the Earth, the Moon and the Sun is taken into account. The mathematical model of the transfers is described within the barycentric coordinate frame. The exact optimal solution of the problem is obtained using Pontryagin’s maximum principle formalism and the numerical solution of the boundary value problem. The method of optimizing the parameters and controls of interplanetary trajectories of the spacecraft based on the optimization of dynamic system components and on Fedorenko’s method of sequential linearization is applied in this study. This method allows limitations on composite functions with Fréchet derivatives. As the results of the simulation, the control laws and corresponding trajectories are obtained.

scholarly journals Stable motions around triangular libration points in the real Earth–Moon system

2015 ◽  
Vol 454 (4) ◽  
pp. 4172-4181 ◽  
Author(s):  
X. Y. Hou ◽  
X. Xin ◽  
D. J. Scheeres ◽  
J. Wang
Keyword(s):  
Libration Points ◽  
Moon System ◽  
The Real ◽  
Triangular Libration Points
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