Article

A generalization of the three-body problem

January 1976

Authors:

The three-body problem is investigated under the initial assumption that Newton's third law may be neglected (i.e., the bodies are separated by considerable distances); subsequently, the effects of the third law are taken into account in treating the mutual attraction of the two non-central bodies. New triangular Lagrangian solutions, as well as a new linear Eulerian solution, are developed through use of the method of stationary solutions introduced by Levi-Civita.

ResearchGate has not been able to resolve any citations for this publication.

ResearchGate has not been able to resolve any references for this publication.

Article

Full-text available

CENTROSYMMETRIC SOLUTIONS TO CHESSBOARD SEPARATION PROBLEMS

January 2012

Chessboard separation problems are modifications to classic chessboard problems, such as the N queens problem, in which obstacles are placed on the chessboard. The N + k queens problem requires placements of k pawns and N + k mutually non-attacking queens on an N -by-N chessboard. Here we examine centrosymmetric (half-turn symmetric) and doubly centrosymmetric (quarter-turn symmetric) solutions ... [Show full abstract] to the N + k queens problem. We also consider solutions in which the queens have a different type of symmetry than the pawns have.

View full-text

Article

Does Classical Unitary Law Really Provide a Cure for Separate Accounting's Ills?

September 2004

William Hays Weissman

The author writes that either classical unitary law should be significantly modified to account for changes in the nature of firms today, or it should be abandoned.

Article

An analysis of the light changes of the eclipsing system AK Herculis in the frequency domain

March 1977 · Astrophysics and Space Science

Panagiotis Niarchos

The aim of the present paper has been to analyse the light changes of the close eclipsing system AK Herculis in the frequency domain. This analysis is based on Kopal's new theory recently developed for the study of light variations—between minima as well as within eclipses—of close eclipsing binaries whose components are distorted by axial rotation and mutual tidal action. A new method for the ... [Show full abstract] separation of the photometric proximity and eclipse effects directly from the observed data is also presented. In this method no ‘rectification’ is needed. New elements taking into account the photometric perturbations are also given.

Article

Collisional coma models: An unorthodox overview

December 1989 · Advances in Space Research

J. F. Crifo

An overview of recent inner coma models is attempted from the somewhat unconventional point of view of the physics of rarefied inhomogeneous jets : in doing this we try to bridge the gap which separates cometary modelling from the treatments of similar problems which appear in other contexts. We introduce the Navier Stokes Equations as the relevant method by which this class of problem should be ... [Show full abstract] dealt with. The characteristics of 19 recent inner coma models are given. The question of their mutual consistency is raised the discussed in detail in one particular but very important case : that of the water temperature field. It is shown that none of the reviewed works can claim to produce a fully satisfactory temperature field. As a consequence, while all works demonstrate remarkable achievements, their relevance for the interpretation of specific experimental results may be smaller than implied by the authors. The main conclusion of this overview is that standardisation of the modelling of the inner coma (parameter values and algorithms by which elementary processes are accounted for) is in urgent need.

Chapter

Applications of Magnetostatics

October 2012

Carl S. Helrich

This chapter we shall devote entirely to applications of the Biot–Savart Law and the solution of Poisson’s Equation for the vector potential. All that we will do here depends entirely on the results of the preceding chapter in which we developed the basic theory of magnetostatic fields. We have chosen to separate this chapter from the theoretical development primarily to keep the chapter lengths ... [Show full abstract] reasonable. We hope that this will benefit the reader.

Article

Valuing race? Stretched Marxism and the logic of imperialism

March 2016 · London Review of International Law

Robert Knox

This article attempts to demonstrate the intimate interconnection between value and race in international law. It begins with an exploration of Marxist understandings of imperialism, arguing that they falsely counterpose race and value. It then attempts to reconstruct an account in which the two are understood as mutually constitutive.

Article

A Disregarded Entity Must Be Taken Into Account

November 2002

Marc D. Teitelbaum

A disregarded entity (DE) is disregarded as an entity separate from its single member (SM).This article examines how a DE affects the tax consequences of its SM. The article asserts that due to the state law existence of a DE, a DE must be taken into account as determining SM's tax consequences. The article examines how a DE must be taken into account in characterizing SM's ownership of DE ... [Show full abstract] assets, SM's liability with respect to DE indebtedness, transactions with third parties in which both SM and DE participate, and SM's tax characteristics.

Article

The human nature of corporate boards: Law, norms, and the unintended consequences of independence an...

April 2001 · The Georgetown law journal

Donald C. Langevoort

Conference Paper

Adaptive array of base station of mobile communication

October 2007

The adaptive antenna's system is discussed. The one of three sectors is taken into account. The antenna's pattern has three main lobes. The mutual placing of these lobes determines the signal strength from different direction. The array consists of three elements. The elements are turned each from another on certain angle. The binary law of phase discretes is considered.

Article

The study of a new method to purify ethyl acetate

January 1997

To reduce energy consumption of purifying ethyl acetate, we investigate the possibility of applying promoters in purification of ethyl acetate. It is found that the promoter can change the mutual solubility of ethyl acetate-ethanol-water and purify ethyl acetate. The feasibility in the industry production is studied and the optimum operation parameter is further decided. This new separating ... [Show full abstract] method is proved feasible and can save 40% energy by comparing to the traditional method.

Conference Paper

Research on the relationship between some important split measure functions for decision tree with p...

September 2004

This paper analysis some split measure functions of classical decision tree algorithm. After the research on the structure of these functions, we found out all of them are separable probability measure function, and their core functions are semi-purity functions. They achieve their minimums at row-column independent point, maximums at full-distinguish point, and accordance with purity law. ... [Show full abstract] Because chi-square does not support the symmetry, the purity law proposed has wider adaptability than the impurity theory. These can help us to analysis the theory of measure function and the relationship between measure functions and data, and it is important to find some more simple and effective split-measure functions in some special area.

Article

Shoaling and Refraction Coefficient of Finite Amplitude Waves

December 1982 · Coastal Engineering in Japan

In order to clarify the non-linear effect of the width between two adjacent orthogonals on the wave height change due to refraction, the equations of transformation for finite amplitude waves including the water depth and the orthogonal width are derived by the method of wave energy flux. Secondly, experiments are made for the wave height change in the combined three cases of decreasing water ... [Show full abstract] depth and/or decreasing wave tank width, and experimental data are compared with theoretical values from the derived equations of wave transformation. Finally, formulas for wave height change are proposed taking into account the non-linear effect in separate forms of the shoaling coefficient and the refraction coefficient. With respect to the comparisons between the theoretical prediction and the experimental data, it is found that the theoretical values derived from Stokes wave theory of the fourth order and hyperbolic wave expressions based upon Chappelear's cnoidal wave theory by the second definition of wave velocity agree well with the experimental data, and especially near the breaking point of waves, there exist the cases when the non-linear effect of the orthogonal width on the wave height change due to refraction can not be neglected.

A generalization of the three-body problem

Abstract

No full-text available

Recommended publications

CENTROSYMMETRIC SOLUTIONS TO CHESSBOARD SEPARATION PROBLEMS

Does Classical Unitary Law Really Provide a Cure for Separate Accounting's Ills?

An analysis of the light changes of the eclipsing system AK Herculis in the frequency domain

Collisional coma models: An unorthodox overview

Applications of Magnetostatics

Valuing race? Stretched Marxism and the logic of imperialism

A Disregarded Entity Must Be Taken Into Account

The human nature of corporate boards: Law, norms, and the unintended consequences of independence an...

Adaptive array of base station of mobile communication

The study of a new method to purify ethyl acetate

Research on the relationship between some important split measure functions for decision tree with p...

Shoaling and Refraction Coefficient of Finite Amplitude Waves