Central-body square configuration of restricted six-body problem

New Astronomy ◽  
2020 ◽  
Vol 79 ◽  
pp. 101381 ◽  
Author(s):  
M. Javed Idrisi ◽  
M. Shahbaz Ullah
Keyword(s):  
Body Problem ◽  
Central Body ◽  
Square Configuration

scholarly journals Three Dimensional Stability of A Rectilinear Periodic Solution of the Three-Body Problem, for all Values of the Masses

1977 ◽  
Vol 33 ◽  
pp. 161-161
Author(s):  
M. Hénon
Keyword(s):  
Periodic Solution ◽  
Dimensional Stability ◽  
Body Problem ◽  
Central Body ◽  
Three Dimensional ◽  
Three Body Problem ◽  
Stability And Instability ◽  
The Masses ◽  
Three Body ◽  
Triple Stars

AbstractWe consider a rectilinear periodic solution in which the central body collides alternately with each of the two other bodies. This solution is found to exist for all values of the three masses. Its stability with respect to three-dimensional perturbations is computed. Domains of stability and instability are delimited in a triangular mass diagram. Large domains of stability are found. This reinforces the conclusion that triple stars may have an “interplay” type of motion.

scholarly journals Unpredictable basin boundaries in restricted six-body problem with square configuration

New Astronomy ◽  
2021 ◽  
Vol 82 ◽  
pp. 101451 ◽  
Author(s):  
Vinay Kumar ◽  
M. Javed Idrisi ◽  
M. Shahbaz Ullah
Keyword(s):  
Body Problem ◽  
Square Configuration ◽  
Basin Boundaries

scholarly journals Orientation of a Satellite Located at the Libration Point in the Restricted Three-Body Problem

1983 ◽  
Vol 74 ◽  
pp. 27-35
Author(s):  
Grzegorz Duliński ◽  
Andrej J. Maciejewski
Keyword(s):  
Body Problem ◽  
Central Body ◽  
Libration Point ◽  
Nonlinear Effects ◽  
Hamiltonian Mechanics ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Gravitational Influence ◽  
Three Body ◽  
Initial Results

In this paper the initial results of an investigation of the motion of a rigid body located at the libration point in the planar, restricted three-body problem are given. This problem was analyzed in part by Kane and Marsh (1971), Markeev (1967a,b). However the present investigation is formulated in terms of hamiltonian mechanics. The final results will by used to study nonlinear effects connected with the gravitational influence of the “second” central body.

scholarly journals The Qualitative Explanation of Observed Peculiarities of Hecuba and Hilda Asteroids Distribution by a Common Investigation

1992 ◽  
Vol 152 ◽  
pp. 139-144
Author(s):  
Elena V. Alfimova ◽  
Igor A. Gerasimov
Keyword(s):  
Body Problem ◽  
Gravitational Constant ◽  
Central Body ◽  
Major Axis ◽  
Mass Point ◽  
Three Body Problem ◽  
Qualitative Explanation ◽  
Semi Major Axis ◽  
Planar Case ◽  
Three Body

Let us consider the planar case of the circular restricted three-body problem. The mass of central body is unit, the radius of the circular orbit of perturbing point P′ (of mass μ = 1/1047.39 according to Jupiter's mass) is also unit and the other unit is such that the gravitational constant is equal to 1. The Keplerian elements of the perturbed mass point P (asteroid), with semi-major axis α < 1, are given by usual notations; the elements of P‘ are indicated with a prime (’).

The Mind-Body Problem Revisited

1975 ◽  
Vol 20 (8) ◽  
pp. 660-660
Author(s):  
MADGE SCHEIBEL ◽  
ARNOLD SCHEIBEL
Keyword(s):  
Body Problem ◽  
Mind Body Problem ◽  
The Mind

The morphology and ultrastructure of pollen grains of Scutasporites nanuki Utting (Sashiniaceae, Coniferales) from the Permian of the East-European Platform

Palaeobotany ◽  
2012 ◽  
Vol 3 ◽  
pp. 5-11
Author(s):  
A. V. Gomankov ◽  
V. F. Tarasevich
Keyword(s):  
East European Platform ◽  
Central Body ◽  
Pollen Grains ◽  
Irregular Shape ◽  
East European ◽  
Sem And Tem

Dispersed bisaccate pollen grains of Scutasporites nanuki were studied by means of LM, SEM and TEM. Sacci ultrastructure of these pollen grains was rather peculiar. Sacci were like a thin fi lmy fringe attached to the central body near the equator. They were fi lled with sporopollenin elements of irregular shape and various dimensions with equally various cavities between them. Such an ultrastructure is called as spongy. The morphology and ultrastructure of S. nanuki is discussed in the context of the evolution of early conifers.

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