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 On the Lagrange libration points of the perturbed Earth-Moon System

2014 ◽  
Vol 9 (S310) ◽  
pp. 192-193 ◽  
Author(s):  
Tatiana V. Salnikova ◽  
Sergey Ya. Stepanov
Keyword(s):  
Body Problem ◽  
Libration Points ◽  
Moon System ◽  
The Earth ◽  
Four Body Problem

AbstractIn this work we discuss the elusive Kordylewski clouds – dust matter in the neighborhood of the Lagrange libration points L4, L5 of the Earth-Moon system. On the base of restricted planar circular four body problem we get some proof for possibility of existence of four such clouds and some rule to predict the optimal moments of time for their observation.

scholarly journals Effect of elliptic angle φ on the existence and stability of libration points in restricted three-body problem in earth-moon system considering earth as an ellipsoid

2015 ◽  
Vol 3 (2) ◽  
pp. 87
Author(s):  
M Javed Idrisi ◽  
Muhammad Amjad
Keyword(s):  
Body Problem ◽  
Libration Points ◽  
Point Mass ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Moon System ◽  
The Earth ◽  
Existence And Stability ◽  
The Stability ◽  
Three Body

<p>This paper deals with the existence and the stability of the earth-moon libration points in the restricted three-body problem. In this paper we have considered the bigger primary as an ellipsoid while the smaller one as a point-mass. This is observed that the collinear and non-collinear libration points exist only in the interval 0˚&lt;<em>φ </em>&lt; 45˚. There exist three collinear libration points and the non-collinear libration points are forming a right triangle with the primaries. Further observed that the libration points either collinear or non-collinear all are unstable in 0˚&lt;<em>φ </em>&lt; 45˚.</p>

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