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Article
Analytical solutions of a class of optimum orbit modifications
This paper presents the complete analytical solution of several fundamental problems in orbital correction. The initial orbit is represented by a given point in the phase space, while the final orbit is constr...
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Article
Étude topologique générale des équations différentielles conservatives (indépendantes du temps ou périodiques). Application à la mécanique céleste
Les systèmes d'équations différentielles conservatives (indépendants du temps ou périodiques) sont très courants, par example ceux mis sous la forme canonique deHamilton et dont l'Hamiltonien est suffisamment rég...
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Article
Optimal trajectories between Earth and Mars in their true planetary orbits
The optimal transfers from Earth to Mars and from Mars to Earth, considering the actual planetary orbits, are presented as functions of the corresponding idealized Hohmann transfers. The numerically exact two-...
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Article
Chattering arcs and chattering controls
There are two different meanings of the wordchattering in control theory and optimization theory. Chattering arcs of the first kind are related to the notion of relaxation of the control (i.e., convexization of t...
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Article
Optimal impulsive transfers between real planetary orbits
This study presents the derivation of the equations necessary to establish a practical method for computing optimal transfers in the real case. It makes it possible to compute and use actual optimal transfers ...
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Article
Second-order tests in optimization theories
There are two main kinds of second-order tests in optimization theories. The simplest tests (Refs. 1–13), such as the generalized Legendre-Clebsch condition, require a local study around points of the trajecto...
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Chapter and Conference Paper
Qualitative Methods and Results in Celestial Mechanics
In a non integrable problem qualitative methods give partial but also rigorously demonstrated properties, they have been essentially developed by Poincaré, Sundman, Chazy, Khilmi, Merman, Sitnikov, Alexeev etc …
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Article
Dynamic cardiac scintigraphy with a multi-imaging device
Cardiac kinetics can be visualized in two ways after i.v. injection of radiopharmaceutics for labeling either the myocardium or the cardiac chambers. The simpler way is the acquisition of the data in analog mo...
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Article
The quasi integrals
The usual Von Zeipel transformations of the Hamiltonian Mechanics are presented, they lead to state functions with extremely slow variations: the ‘quasi-integrals’.
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Chapter and Conference Paper
Regularization of the Singularities of the N-Body Problem
The n-body problem has two types of singularities: the collisions of two or several bodies and “the infinite expansions in a bounded interval of time.”
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Article
In vitro and in vivo effects of ferric citrate on 67Ga-citrate uptake by DS sarcoma tumors
Ferric citrate inhibited in vitro and in vivo uptake of 67Ga-citrate by DS sarcoma cells. In vitro, gallium micked iron and the uptake of both cations was inhibited by transferrin. In vivo, muscle and tumor tissu...
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Article
67Ga and 59Fe uptake by tumor cells treated with hyperthermia or hyperthermia plus lanthanum
The uptake of 67Ga-citrate and 59Fe-citrate by tumor cells treated with hyperthermia or with hyperthermia plus lanthanum has been studied. The comparison of these results with ion flux determinations (42K) appear...
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Chapter
Kaliomimetic Ion Transport by Injured Membrane During in Vitro Hyperthermia of Tumor Cells
Despite the fact that the mechanisms responsible for tumor cell death during hyperthermia are not well known, there is evidence that cell membrane changes related to small temperature variations are the possib...
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Chapter
Three-Body Problem Some Applications of the Tests of Escape
Some recent tests have given excellent results in the analysis of three-body systems with three equal masses. These analyses are here extended to systems of unequal masses and lead to the following.
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Chapter and Conference Paper
Diagnosis and Management of Right Ventricular Infarction
In the setting of acute myocardial infarction, the evaluation of right ventricular function (RVF), has gained significant attention since the description of the right ventricular infarction (RVI) syndrome, in 197...
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Article
On quasi-integrable problems. The example of the artificial satellites perturbed by the Earth's zonal harmonics
With the Hamiltonian parameters developed for the two-fixed-centers problem a simple and very accurate expression of the ‘quasi-integral’ can be given for the motion of artificial satellites perturbed by the E...
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Chapter and Conference Paper
Reduction of deterministic differential games to problems of optimization the method of successive approximate strategies
The deterministic differential games are presented and classified among the other games. They have many singularities, discontinuities and subdivisions. Sufficient conditions of continuity of the Value of the ...
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Article
A small example of Arnold diffusion
The Arnold diffusion occurs in the vicinity of most linearly stable solutions of non-integrable autonomous Hamiltonian systems with more than two degrees of freedom. This diffusion is an extremely slow phenome...
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Chapter and Conference Paper
Round Table Discussion on Chaotic Motions
The importance of chaotic motions has been recognized only recently.
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Chapter
The Near-Resonance Theorem: Analysis of the Vicinity of Periodic Solutions of Analytic Differential Systems
The near-resonance theorem allows us to simplify the systems of differential equations and to study the vicinity and the stability of their periodic solutions. It leads to suitable transformations that cancel ...
