Detailed Analysis for the Derivation of the Equations of Motion of Chapter 6

Author(s):  
Michael P. Paidoussis
1997 ◽  
Vol 165 ◽  
pp. 149-154
Author(s):  
P. A. Dybczyński ◽  
H. Prȩtka

In previous papers (Prȩtka and Dybczyński, 1994; Dybczyński and Prȩtka, 1996) we presented detailed analysis of selected examples of the long-term evolution of the orbit of Oort cloud comets under the influence of the galactic disk tidal force, as well as some statistical characteristics of the simulated observable comet population. This paper presents further improvements in our Monte Carlo simulation programme which allow us to represent in a better way the real processes of production of observable comets due to galactic perturbations.In our second paper (Dybczyński and Prȩtka, 1996), following some other authors (see for example Matese and Whitman, 1989), we treated a comet as observable when its osculating perihelion distance decreased below some adopted observability limit (5 AU in our case). Limiting the investigation to the evolution of osculating elements allowed us to use very fast and efficient averaged Hamiltonian equations of motion in our simulation. However, further detailed analysis of the problem showed that the adopted observability definition was insufficient: what makes a comet observable is not its osculating perihelion distance but its true distance from the Sun, smaller than some adopted threshold value. It may happen that when the osculating perihelion distance is at its smallest, the comet is around its aphelion distance.


1966 ◽  
Vol 25 ◽  
pp. 373
Author(s):  
Y. Kozai

The motion of an artificial satellite around the Moon is much more complicated than that around the Earth, since the shape of the Moon is a triaxial ellipsoid and the effect of the Earth on the motion is very important even for a very close satellite.The differential equations of motion of the satellite are written in canonical form of three degrees of freedom with time depending Hamiltonian. By eliminating short-periodic terms depending on the mean longitude of the satellite and by assuming that the Earth is moving on the lunar equator, however, the equations are reduced to those of two degrees of freedom with an energy integral.Since the mean motion of the Earth around the Moon is more rapid than the secular motion of the argument of pericentre of the satellite by a factor of one order, the terms depending on the longitude of the Earth can be eliminated, and the degree of freedom is reduced to one.Then the motion can be discussed by drawing equi-energy curves in two-dimensional space. According to these figures satellites with high inclination have large possibilities of falling down to the lunar surface even if the initial eccentricities are very small.The principal properties of the motion are not changed even if plausible values ofJ3andJ4of the Moon are included.This paper has been published in Publ. astr. Soc.Japan15, 301, 1963.


1974 ◽  
Vol 22 ◽  
pp. 145-148
Author(s):  
W. J. Klepczynski

AbstractThe differences between numerically approximated partial derivatives and partial derivatives obtained by integrating the variational equations are computed for Comet P/d’Arrest. The effect of errors in the IAU adopted system of masses, normally used in the integration of the equations of motion of comets of this type, is investigated. It is concluded that the resulting effects are negligible when compared with the observed discrepancies in the motion of this comet.


Author(s):  
Billy Irwin

Abstract Purpose: This article discusses impaired prosody production subsequent to traumatic brain injury (TBI). Prosody may affect naturalness and intelligibility of speech significantly, often for the long term, and TBI may result in a variety of impairments. Method: Intonation, rate, and stress production are discussed in terms of the perceptual, physiological, and acoustic characteristics associated with TBI. Results and Conclusions: All aspects of prosodic production are susceptible to the effects of damage resulting from TBI. There are commonly associated prosodic impairments; however, individual variations in specific aspects of prosody require detailed analysis.


2018 ◽  
pp. 131-141 ◽  
Author(s):  
A. N. Savrukov ◽  
N. T. Savrukov ◽  
E. A. Kozlovskaya

The article analyzes the current state and level of development of publicprivate partnership (PPP) projects in the subjects of the Russian Federation. The authors conclude that a significant proportion of projects is implemented on a concession basis at the municipal level in the communal sphere. A detailed analysis of the project data showed that the structure of the projects is deformed in favor of the central regions of the Russian Federation, and a significant share in the total amount of financing falls on the transport sector. At the stage of assessing the level of development by the subjects of the Russian Federation, criteria were proposed, and index and integral indicators were used, which ensured comparability of the estimates obtained. At the end of the analysis, the regions were ranked and clustered according to the level of PPP development, which allowed to reveal the number and structure of leaders and outsiders.


2015 ◽  
pp. 151-158
Author(s):  
A. Zaostrovtsev

The review considers the first attempt in the history of Russian economic thought to give a detailed analysis of informal institutions (IF). It recognizes that in general it was successful: the reader gets acquainted with the original classification of institutions (including informal ones) and their genesis. According to the reviewer the best achievement of the author is his interdisciplinary approach to the study of problems and, moreover, his bias on the achievements of social psychology because the model of human behavior in the economic mainstream is rather primitive. The book makes evident that namely this model limits the ability of economists to analyze IF. The reviewer also shares the author’s position that in the analysis of the IF genesis the economists should highlight the uncertainty and reject economic determinism. Further discussion of IF is hardly possible without referring to this book.


2005 ◽  
pp. 53-68 ◽  
Author(s):  
R. Kapeliushnikov ◽  
N. Demina

The paper provides new survey evidence on effects of concentrated ownership upon investment and performance in Russian industrial enterprises. Authors trace major changes in their ownership profile, assess pace of post-privatization redistribution of shareholdings and provide evidence on ownership concentration in the Russian industry. The major econometric findings are that the first largest shareholding is negatively associated with the firm’s investment and performance but surprisingly the second largest shareholding is positively associated with them. Moreover, these relationships do not depend on identity of majority shareholders. These results are consistent with the assumption that the entrenched controlling owners are engaged in extracting "control premium" but sizable shareholdings accumulated by other blockholders may put brakes on their expropriating behavior and thus be conductive for efficiency enhancing. The most interesting topic for further more detailed analysis is formation, stability and roles of coalitions of large blockholders in the corporate sector of post-socialist countries.


Author(s):  
Christopher Rosenmeier

Xu Xu and Wumingshi were among the most widely read authors in China during and after the Second Sino-Japanese War (1937–1945). Despite being an integral part of the Chinese literary scene, their bestselling fiction has, however, been given scant attention in histories of Chinese writing. This book is the first extensive study of Xu Xu and Wumingshi in English or any other Western language and it re-establishes their importance within the popular Chinese literature of the 1940s. Their romantic novels and short stories were often set abroad and featured a wide range of stereotypes, from pirates, spies and patriotic soldiers to ghosts, spirits and exotic women who confounded the mostly cosmopolitan male protagonists. Christopher Rosenmeier’s detailed analysis of these popular novels and short stories shows that such romances broke new ground by incorporating and adapting narrative techniques and themes from the Shanghai modernist writers of the 1930s, notably Shi Zhecun and Mu Shiying. The study thereby contests the view that modernism had little lasting impact on Chinese fiction, and it demonstrates that the popular literature of the 1940s was more innovative than usually imagined, with authors, such as those studied here, successfully crossing the boundaries between the popular and the elite, as well as between romanticism and modernism, in their bestselling works.


2017 ◽  
Vol 12 (2) ◽  
pp. 297-315 ◽  
Author(s):  
Julian Hanna

Aside from the familiar story of Vorticists and Imagists before the war, no detailed analysis of manifestos in Britain (or Ireland) exists. It is true that, by 1914, there had been such an upsurge in manifesto writing that a review of BLAST in The Times (1 July 1914) began: ‘The art of the present day seems to be exhausting its energies in “manifestoes.”’ But after the brief fire ignited by the arrival of Italian Futurism died out, Britain again became a manifesto-free zone. Or did it? While a mania for the militant genre did not take hold in Britain and Ireland the same way it did in France, Italy, Germany, or Russia, the manifesto did enjoy a small but dedicated following that included Whistler, Wilde, and Yeats; Patrick Geddes and Hugh MacDiarmid; Wyndham Lewis and Ezra Pound; Dora Marsden and Virginia Woolf; and Auden, MacNeice, and Spender. Through these and other figures it is possible to trace the development of a manifesto tradition specific to Britain and Ireland.


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