A new set of integrals of motion to propagate the perturbed two-body problem

A formulation of the perturbed two-body problem that relies on a new set of orbital elements is presented. The proposed method represents a generalization of the special perturbation method published by Peláez et al. (Celest Mech Dyn Astron 97(2):131?150,2007) for the case of a perturbing force that is partially or totally derivable from a potential. We accomplish this result by employing a generalized Sundman time transformation in the framework of the projective decomposition, which is a known approach for transforming the two-body problem into a set of linear and regular differential equations of motion. Numerical tests, carried out with examples extensively used in the literature, show the remarkable improvement of the performance of the new method for different kinds of perturbations and eccentricities. In particular, one notable result is that the quadratic dependence of the position error on the time-like argument exhibited by Peláez?s method for near-circular motion under the J2 perturbation is transformed into linear.Moreover, themethod reveals to be competitive with two very popular elementmethods derived from theKustaanheimo-Stiefel and Sperling-Burdet regularizations.

Quantum groups with invariant integrals

Quantum groups have been studied intensively for the last two decades from various points of view. The underlying mathematical structure is that of an algebra with a coproduct. Compact quantum groups admit Haar measures. However, if we want to have a Haar measure also in the noncompact case, we are forced to work with algebras without identity, and the notion of a coproduct has to be adapted. These considerations lead to the theory of multiplier Hopf algebras, which provides the mathematical tool for studying noncompact quantum groups with Haar measures. I will concentrate on the *-algebra case and assume positivity of the invariant integral. Doing so, I create an algebraic framework that serves as a model for the operator algebra approach to quantum groups. Indeed, the theory of locally compact quantum groups can be seen as the topological version of the theory of quantum groups as they are developed here in a purely algebraic context.

A proposal of algorithm for solving definite descriptions through dialogue structure

En este trabajo proponemos un algoritmo para la resolución de las descripciones definidas en español a través de la estructura del diálogo, mediante la definición de un espacio de accesibilidad anafórico. Este algoritmo está basado en la hipótesis de que la resolución de la anáfora está relacionada con la estructura del diálogo. Así, la resolución de la anáfora mejora si se especifica un espacio de accesibilidad para cada tipo descripción definida según la estructura del diálogo. La utilización de este espacio de accesibilidad anafóico reduce tanto el tiempo de procesamiento como la posibilidad de obtener un antecedente erróneo. Además, la definición de este espacio de accesibilidad depende únicamente de la propia estructura textual del diálogo.

A literal translation of the Epistles of Paul the Apostle to the Corinthians, on definite rules of translation, and with an English version of the same.

Mode of access: Internet.

Accounting in the furniture and woodworking industries, designed in combination with General factory accounting by the same author; to afford a definite standard of practice in the industries referred to in the title ...

Mode of access: Internet.

A new road to independence; poultry raising the Arndt new era way; definite plans are set forth showing how to use the complete system of rearing poultry for profit ...

Mode of access: Internet.

Calculus, with analytic geometry.

Includes index.

Slater integrals for screened hydrogenic orbitals /

Prepared for Air Force Weapons Laboratory.

On Riemann's theory of algebraic functions and their integrals : a supplement to the usual treatises /

Photocopy. [Ithaca, N.Y. : Cornell University Libraries, 1977]--xii, 76 p. on [44] leaves ; 26 x 38 cm. fold. to 25 x 19 cm.

Contributions to a theory of summability of trigonometric integrals.

Bibliography: p. 227.

On the history of the definite tenses in English,

Imprint on cover: Lund, A.-b. Lindstedts univ.-bokh; Cambridge [Eng.] W. Heffer & sons, ltd.

Elements of the integral calculus, with a key to the solution of differential equations, and a short table of integrals.

Mode of access: Internet.

The lack of definite individual responsibility in our form of government is a fundamental cause of the evils of which the people complain : annual address before Bar Association of State of Kansas, delivered at Topeka, Kansas, January 27, 1913 /

Cover title.

Public hearing for the purpose of providing information to be used by the Department of Labor in devising definite standards and goals of minority manpower utilization pursuant to the revised Philadelphia plan.

Hearing held August 26-28, 1969.