scholarly journals Dynamical Evolution of Stellar Clusters and Associations in the Field of Tidal Forces of the Galaxy

1993 ◽  
Vol 132 ◽  
pp. 183-192 ◽  
Author(s):  
T.S. Kozhanov
Keyword(s):  
Jacobi Equation ◽  
Equations Of Motion ◽  
Dynamical Evolution ◽  
Stellar Clusters ◽  
Many Body ◽  
Tidal Forces ◽  
Elliptic Orbits ◽  
The Galaxy ◽  
The Moment ◽  
The Many

AbstractThe equations of motion of the star-members of the cluster averaged on the elliptic orbits are obtained. These equations take into account the tidal forces of the Galaxy. The generalization of the Lagrange-Jacobi equation and Sundman inequality for non-classical scheme of the many-body problems is revised. The dynamical evolution of the moment of inertia is studied. Some theorems which determine the type of the star motion in the cluster are formulated.

Dynamical evolution of globular clusters: Recent developments

2017 ◽  
Vol 26 (09) ◽  
pp. 1730017
Author(s):  
Marco Merafina
Keyword(s):  
Globular Cluster ◽  
Globular Clusters ◽  
Milky Way ◽  
Structural Parameters ◽  
Dynamical Evolution ◽  
Limit Value ◽  
Tidal Forces ◽  
The Galaxy ◽  
Recent Developments ◽  
Theoretical Results

We analyze structural parameters of the globular clusters belonging to the Milky Way system which were listed in the latest edition of the Harris Catalogue. We search for observational evidences of the effect of tidal forces induced by the Galaxy on the dynamical and thermodynamical evolution of a globular cluster. The behavior for the [Formula: see text] distribution exhibited by the globular cluster population seems to be in contrast with theoretical results in literature about gravothermal instability, and suggest a new limit value smaller than the previous one.

scholarly journals Physics and Mechanizm of Creation, Separation and Orbiting of the Solar System Bodies Based on Jacobi Dynamics

2021 ◽  
Vol 4 (1) ◽  
Keyword(s):  
Solar System ◽  
Body Problem ◽  
Equations Of Motion ◽  
Continuous Media ◽  
System Of Equations ◽  
Many Body ◽  
Natural Systems ◽  
Solar System Bodies ◽  
The Many ◽  
Jacobi Dynamics

Our work sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series “Vorlesung über Dynamik”. In the dynamics of systems described by models of discrete and continuous media, the many-body problem is usually solved in some approximation, or the behavior of the medium is studied at each point of the space it occupies. Such an approach requires the system of equations of motion to be written in terms of space co-ordinates and velocities, in which case the requirements of an internal observer for a detailed description of the processes are satisfied.

scholarly journals Galaxies, Clusters and Fluctuations

1988 ◽  
Vol 130 ◽  
pp. 215-220
Author(s):  
Richard Schaeffer
Keyword(s):  
Luminosity Function ◽  
Two Dimensions ◽  
Many Body ◽  
Microwave Background ◽  
Scale Invariant ◽  
Galaxy Distribution ◽  
Luminosity Functions ◽  
The Galaxy ◽  
The Many ◽  
Galaxy Luminosity Function

The luminosity function of galaxies and clusters as well as their correlations can be calculated assuming the many-body correlation functions are scale invariant. The same hypothesis leads to predictions on the fractal dimension of the galaxy distribution. The latter is found to be bifractal that is characterized by two dimensions D=3−γ in the cluster region, and D = (3−γ)(2+α) in the nearly empty regions, α being the index introduced by Schechter for the galaxy luminosity function. Finally, the same models lead to predictions for the evolution of the cluster and x-ray luminosity functions, as well as for the Sunyaev-Zeldovich effect due to all virialized clusters, which is found to be large and to produce fluctuations of order 10−5 at sub-arc minute scalar in the microwave background.

scholarly journals On the conservation of momentum

1946 ◽  
Vol 186 (1007) ◽  
pp. 432-442
Keyword(s):  
Angular Momentum ◽  
Potential Energy ◽  
Body Problem ◽  
Equations Of Motion ◽  
Gravitational Theory ◽  
Gravitational Potential Energy ◽  
Many Body ◽  
Conservation Of Momentum ◽  
The Many ◽  
The Universe

1. Scope of the paper . The present paper is a continuation of an earlier sequence in these Proceedings , entitled ‘ The inverse square law of gravitation, I, II and III’ (Milne 1936, 1937c), which itself was connected with another sequence entitled ‘Kinematics, dynamics and the scale of time, I, II and III ’(Milne 1937 a,b ). In the latter sequence the relations between t -dynamics and r -dynamics were obtained. In the former sequence a formula for the gravitational potential energy of two particles was isolated which was Lorentz-invariant for transformations from any one fundamental observer in the expanding substratum to any other fundamental observer; and the corresponding equations of motion in t -measure were obtained. In the present paper I obtain relations which correspond to the integrals of linear and angular momentum in the many-body problem of classical gravitational theory. I conclude that Einstein’s form of the conservation of linear momentum in special relativity holds good in the universe at large only in the case of a collinear set of particles moving along their line of collinearity, and I give the modification of the law of conservation which should hold good in other cases.

On the many-body theory of nuclear reactions

1968 ◽  
Vol 111 (1) ◽  
pp. 392-416 ◽  
Author(s):  
K DIETRICH ◽  
K HARA
Keyword(s):  
Nuclear Reactions ◽  
Many Body ◽  
Many Body Theory ◽  
The Many ◽  
Body Theory

APPLICATION OF THE METHOD SPRINGY DEFORMATIONS OF BARREL DURING SHOT FOR DETERMINING THE INITIAL VELOCITY OF THE SHELL (MINE)

2019 ◽  
Vol 1 (12) ◽  
pp. 75-80
Author(s):  
Ye. Didenko ◽  
O. Stepanenko
Keyword(s):  
Strain Gauge ◽  
Initial Velocity ◽  
Radial Direction ◽  
Fire Control ◽  
Automatic Control Systems ◽  
Measurement Results ◽  
Initial Resistance ◽  
The Moment ◽  
The Many ◽  
Effective Use

One of the indicators of the effective use of artillery is the accuracy of the fire impact on the objects of enemy. The accuracy of the artillery is achieved by completing the implementation of all measures for the preparation of shooting and fire control. Main measures of ballistic preparation are to determine and take into account the summary deviation of the initial velocity. The existing procedure for determining the summary deviation of the initial velocity for the check (main) cannon of battery leads to accumulation of ballistic preparation errors. The supply of artillery units with means of determining the initial speed of the projectile is insufficient. Among the many known methods for measuring the initial velocity, not enough attention was paid to the methods of analyzing the processes that occur during a shot in the "charge-shell-barrel" system. Under the action of the pressure of the powder gases in the barrel channel and the forces of the interaction of the projectile with the barrel there are springy deformations in the radial direction. To measure springy deformations it is advisable to use strain gauge sensors. Monitoring of deformation in a radial direction by time can be used to determine the moment of passing a projectile past the strain gauge mounted on the outer surface of the barrel. In the case of springy deformations, the initial resistance of the sensor varies in proportion to its value. The speed of the shell (mine) in the barrel can be determined by time between pulses of signals obtained from strain gauges located at a known distance from each other. The simplicity of the proposed method for measuring the initial velocity of an artillery shell provides an opportunity for equipping each cannon (mortar) with autonomous means for measuring the initial velocity. With the simultaneous puting into action of automatic control systems can be automatically taking into account the measurement results. This will change the existing procedure for determining the total deviation of the initial velocity and improve the accuracy, timeliness and suddenness of the opening of artillery fire, which are components of its efficiency.

Revealing the many-body interactions and valley-polarization behavior in Re-doped MoS2 monolayers

2021 ◽  
Vol 118 (11) ◽  
pp. 113101
Author(s):  
Xiaoli Zhu ◽  
Siting Ding ◽  
Lihui Li ◽  
Ying Jiang ◽  
Biyuan Zheng ◽  
...  
Keyword(s):  
Many Body ◽  
Polarization Behavior ◽  
Valley Polarization ◽  
Mos2 Monolayers ◽  
The Many ◽  
Many Body Interactions
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