Influence des perturbations thermiques de l'atmosphère sur la qualité des images solaires

Résumé Le Pic du Midi de Bigorre étant pris comme site expérimental, l'influence sur la qualité des images solaires de deux types de perturbations thermiques de l'atmosphère est examinée, celles-ci étant dues respectivement au sol local et à la convection au sein de l'écoulement incident. Une méthode pyrhéliométrique permettant la détection de la convection en ciel clair est exposée.

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A parameter characterizing the quality of photospheric images has been defined through a three class distribution; it has been estimated over various samples taken during 230 hours of observing time at the Pic du Midi Observatory.Its occurrence is compared to that of two types of atmospheric thermal disturbances, one being created by the local ground and the other brought along by the incident flow and due mainly to convection.The time-derivation of the temperature, which is, under some conditions, well related to the nearby thermal field, may be taken as a characteristic atmospheric parameter, and it is shown that the best quality for solar images occurs only - and then with a fairly good frequency - when its value is slightly positive.A method is described which aims at the detection of convection in the clear atmosphere; as the upward motions are bringing aerosols from the lower layers, a less transparent volume is ascending during the first part of the day and then, its top may intercept the optical axis of the telescope. The diurnal variation of the atmospheric transparency, as observed with a pyrheliometer, shows clearly this occurrence, which may be quite different from one day to another.

     

Determination des demi-grands axes des satellites galileens de Jupiter

In non-resonant cases, a constant part coming from the perturbations can be easily separated from the observed mean mean motion, which can be called the perturbed part. An another part created by resonance must be separated from the observed mean motion in the case of the first three Galilean satellites. The determination of it gives better value of the semi-major axis.In this investigation, the analytical process is chosen to avoid a mixture of orders in successive expansions and integrations.The main terms entering in the computation of the libration are the great inequalities of the first three satellites. Each of them is introduced in the development by its eight components; while in Sampson's theory, only the great inequality of Satellite 2 is given by two components.The equations of motion used in this work are derived from Sagnier's theory.

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Proceedings of the Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets. Facultés universitaires Notre Dame de la Paix, Namur, Belgium, 28–31 July, 1980.     

Enveloppe de poussiere circumstellaire des Novae

Résumé Nos études nous ont amené à découvrir que toutes les novae sont entourées par une enveloppe de poussière. Cette enveloppe, qui a un rayon de 5×10¹⁴ à 5×10¹⁵ cm, existe avant l'explosion de la nova. Nous avons mesuré les valeurs, d'une part, de l'absorption visuelle de l'enveloppe poussièreuse circumstellaire de la Nova Delphini qui est de 1,12, 3,29 et 2,24 magnitudes pour les années 1968, 1969 et 1970, tandis qu'elle est de 3 m environ pour la Nova Serpentis 1970, durant le début de l'activité, et celles, d'autre part, du rapport de l'absorption visuelle à l'excès de couleurE _B-V de la Nova Delphini qui est environ de 2,35 2,75 et 3,36 respectivement pour les années 1968, 1969 et 1970. Nous voyons que l'effet du rougissement de l'enveloppe circumstellaire sur les flux des raies est très important; ainsi le flux observé de la raieH doit être multiplié par un facteur de l'ordre de 30, pour éliminer l'effet de rougissement circumstellaire.En outre, nous avons trouvé que les particules constituant l'enveloppe circumstellaire ont un rayon de 0,1 micron, avant l'explosion, et que pour pouvoir interpréter les phénomènes observés, il faut considérer les particules de rayon 0,1 micron comme des noyaux de condensation pour former des particules de grandes dimensions. L'augmentation du rayon de ces particules, durant l'activité de la nova, est due à des collisions entre les particules de poussière (qui existent avant l'explosion), et la matière éjectée par la nova elle-même.

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Our studies have led us to conclude that all Novae are surrounded by a dusty envelope. This envelope which has a radius of 5×10¹⁴ to 5×10¹⁵ cm, exists before the explosion of the Nova. We have measured visual absorptions of the circumstellar dusty envelope of Nova Delphini of the order of 1.12, 3.29, and 2.24 magnitudes in 1968, 1969, and 1970, respectively, while that of Nova Serpentis was of the order of 3 magnitudes at the start of its activity. Also we have found the ratio of visual absorption to the colour excessE _B-V for Nova Delphini, which was of the order of 2.35, 2.75, and 3.36 for 1968, 1969, and 1970, respectively. Therefore, we see that the effect of the reddening of the circumstellar envelope on the line fluxes is very large; thus the flux ofH needs to be multiplied by a factor of order 30, to eliminate the effect of circumstellar reddening.We also found that the particles of the circumstellar envelope have a radius of 0.1 micron before the explosion and that, in order to interpret the observed phenomena, one must consider the 0.1 micron radius particles as condensation nuclei, for the formation of large particles. The increase in particle radius during the activity of a Nova is due to collisions between dust particles (which exist before the explosion) and gas ejected by the Nova.

     

Determination semi-automatique des diametres de crateres lunaires a partir de plaques photographiques de la Lune

Résumé Nous comparons les valeurs des diamètres de cratères lunaires obtenues à partir de mesures visuelles et semi-automatiques de plaques photographiques de la Lune. Nous montrons que le tracé du contour d'un cratère obtenu à partir d'un nouvel algorithme de calcul est équivalent au contour estimé par l'il.

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We compare two methods for the determination of lunar crater diameters: visual and semiautomatic. We show that the lunar crater contour obtained either by application of the new algorithm or by visual measure are equivalent.

     

Experiences numeriques sur des billards C1 formes de quatre arcs de cercles

The paper deals with some properties of the dynamical system with two degrees of freedom defined by the motion of a particle in a certain type of billiard. These properties are studied by means of numerical experiments. Most results are represented in the now classical surface of section. One parameter families of billiards with a C¹ boundary constructed with four arcs of circles are defined; we use the property that the four meeting points of such billiards lie on the same circle. These billiards may be convex or non convex. They generalize the ‘oval’ billiard with two axes of symmetry studied by Benettin and Strelcyn. We call them generalized billiards. We find the following results:

1. The periodic orbit along the small diameter of a billiard is stable or unstable in the linear approximation according to the position of the center of each relevant are with respect to the opposite one. This orbit is always stable if the billiard is symmetric with respect to its large diameter.
2. When the center of an arc lies on the opposite arc two different transition patterns from order to chaos are observed for the same billiard. If the billiard is of the Benettin and Strelcyn type three distinct nested chaotic seas are seen two of which are separated by a pseudo-invariant curve generated by a so called cancellation orbit.
3. The total area of non chaotic regions is greater for symmetric billiards.
4. Peanut shaped billiards always look ergodic. It can happen also that strictly convex asymmetric billiards look ergodic. This is important since no strictly convex billiard is known for which ergodicity has been proven. The conjecture is proposed that a generalized billiard with neither 2-periodic nor 4-periodic stable orbit in the linear approximation is ergodic.
5. Transverse invariant curves such as the one found by Hénon and Wisdom seem common for billiards with two axes of symmetry but probably do not exist for asymmetric billiards.

There are therefore several properties which differentiate symmetric billiards from asymmetric ones. We conclude by emphasizing that C¹ generalized billiards are indeed inadequate models for smooth mappings in general.     

Theorie de Weyl et principe de moindre action: Application a l'etude des mouvements

Sommaire Les lois du mouvement dans une variété riemannienneV ₄ peuvent être déduites d'un principe de moindre action. Nous établissons dans cet article l'équivalence des relations ds=0 et dL=-L _k d^k, où ds ²=L ² est une métrique riemannienne et d _k /dt une fonction homogène de degré 1 des variables dx ⁱ/dt qui définit un espace de Weyl. Ce théorème permet de ramener une théorie de jaugen à un principe de moindre action. Il peut être utilisé dans la théorie de la double métrique de Dirac, obtenue en choissant la théorie des grands nombres comme condition de jauge. Une fibration de l'espace physiqueV ₃ basée sur le théorème de Huyghens permet de déduire les propriétés dynamiques des particules des propriétés des photons dansV ₃, et constitue en ce sens une unification des propriétés dynamiques des particules.

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The laws of motion in a RiemannianV ₄ manifold can be deduced from the principle of least action. We state in this work the equivalence between the equations ds=0 and dL=-L _k d^k, where ds ² =L ² is the Riemannian metric and d _k /dt the homogeneous functions of first degree of the dx ⁱ/dt which define a Weylian space. This theorem can then reduce a gauge theory to a principle of least action. It can be used in the double metric theory of Dirac, obtained by means of the Large Number Hypothesis as a gauging condition. A fibration of the physical spaceV ₃ based on Huyghens' theorem allows the deduction of the dynamical properties of particles by means of the properties of photons inV ₃, and constitutes in this way an unification of the dynamical properties of particles.

     

Cartographie des régions marginales de la Lune

Sans résuméPresented at the IAU-COSPAR Julius Schmidt Symposium on 100 Years of Lunar Mapping held at Lagonissi, Greece, 25–27 May, 1978.     

Le problème des erreurs du point de vue de l'observateur et du point de vue du calculateur d'orbites

Resumé En principe, nous parlerons des mesures d'étoiles doubles exécutées au micromètre à fils par la méthode classique des doubles distances, mais il va de soi que la plupart des considérations relatives aux erreurs peuvent être étendues aux autres procédés.     

Mesures absolues de la temperature apparente des mers lunaires en infra-rouge

A series of measurements of infra-red apparent temperatures of ten selected sites in lunar maria has been undertaken in CERGA, using an infra-red receiver (11.3 m). The experimental procedures are described. The theory of the receiver is developed and the theory of two methods of calibration of the measurements is given. This method was applied during two campaigns in 1977 and 1978, giving 142 values of temperatures.     

Theorie generale planetaire etendue au cas de la resonance et application au systeme des satellites galileens de Jupiter

We consider a system of planets defined by a given distribution of mean mean motions and masses: we represent the osculating elliptic elements of their heliocentric orbits by quasi-periodic functions of time, through a method adapted to the commensurability case; these functions are the sum of the general solution of a critical system, expressed in long-period terms, and of a particular solution. As in the B. Brown's method (applied to the galilean satellites), the critical system contains the secular terms, the longperiod terms (great inequalities), and the resonant terms; the particular solution consists of short-period terms only, whose amplitude is an explicit function of the solution of the critical system.If all the long-period terms in the critical system are harmonic of one fundamental term, we can perform a simple change of variables which transforms the critical system in an autonomous one, and thus we reduce the resolution to an eigenvalue problem. Applying that to the galilean satellites of Jupiter and neglecting the solar perturbations, we obtain a differential system with constant coefficients, whose linear part concerns all the variables (including the major-axes and the mean longitudes) and gives, as a first approximation, the great inequalities, the free oscillations and the libration; nevertheless this solution agrees already with known results, but should be improved by taking into account the non-linear parts and the solar terms in a new approximation.

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Proceedings of the Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets. Facultés universitaires Notre Dame de la Paix, Namur, Belgium, 28–31 July, 1980     

Sur les solutions périodiques du mouvement plan de libration des satellites et des planètes

Résumé Ce papier présente une étude analytique du mouvement plan de rotation des satellites (et des planètes) dans leurs mouvements orbitaux. Les trois familles des solution périodiques sont obtenues par la méthode du prolongement analytique de Poincaré. Ensuite, la stabilité de ces solutions périodiques est discutée, et les équations approchées des courbes limites de stabilité sont données jusqu'au quatrième ordre.

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This paper presents an analytical study of the rotational motion of the satellites (and the planets) in their orbital planes. The three families of periodic solutions are obtained by the method of analytical continuation as formulated by Poincaré. The stability of these solutions are analyzed, and the approximate equations of the transition curves are obtained to the fourth order.

     

Photométries comparées des émissions de l'hydrogène et de l'hélium dans les régions externes des protubérances

Résumé La variation du rapport d'intensités H/D3 est étudiée dans les régions périphériques de deux protubérances d'éclat assez faibles et qui étaient suspendues au-dessus de la chromosphère. La partie supérieure des protubérances est relativement plus intense en D3, tandis qu'en dessous des protubérances le phénomène inverse s'observe. Il faut considérer que ces variations ne peuvent pas s'expliquer par des phénomènes de saturation, mais pourraient résulter du régime dynamique de la matière qui émet les radiations observées.     

Réflexions sur la contingence des lois de la Nature

There are two fundamental conceptions concerning the laws of nature — these laws are eternal or they may vary in the course of time. We suggest an experiment in order to find an intermediary thesis — i.e. to discover that law, if it really exists, according to which a given law of nature varies, or, at least, to find out the direction in which this variation is performed.     

Mouvements voisins de collision quadruple dans le probleme trapezoidal des 4 corps

Celestial Mechanics and Dynamical Astronomy - On reprend ici l'étude du problème trapezoïdal des 4 corps, qui a été commencée par l'auteur dans [2]. En...     

Modèle d'éjection de matière des novae

We have found that the gas of the premaximum, diffuse-enhanced and orion systems is produced by the nova itself and is ejected by shock waves in the form of discrete layers. The principal envelope originates in the gas responsible for the premaximum system, as a result of considerable, sudden increase of the radiation pressure of Lα, a certain time after the beginning of the nova explosion. The radiation pressure accelerates a part of the premaximum envelope and it is this accelerated part of the premaximum envelope that forms the principal envelope of nova. This acceleration is then transferred to the outer regions of the envelope. The mass of the principal envelope therefore increases continuously. We have rejected all the previous theories that have been proposed for the formation of the principal envelope, because the authors of the theories have supposed that the principal envelope is formed at the moment of the luminosity maximum, while in the case of Nova Delphini 1967, we have found that the principal envelope was formed about 125 days before the luminosity maximum. By accepting that the premaximum, diffuse-enhanced and orion layers are ejected by shock waves and that the principal system is produced by radiation pressure, we can interpret the luminosity curve and the variation of the radial velocity of each system as a function of time and the observed sporadic changes of luminosity or radial velocity. We have found that the luminosity comes from the gas associated with the principal envelope and that its mass is about 80% of the mass of the all matters ejected by a nova, during its activity. We have discussed the cause of the nova explosion and have concluded that there is no satisfactory theory of novae.     

Sur le développement de la fonction des forces dans le problème de deux corps finis

Il est envisagé dans ce travail la procédure du développement de la fonction des forces de deux corps finis, dont les particules élémentaires s'attirent mutuellement par la force proportionnelle à un certain puissance de leur distance.Chaque corps, possedant une forme et une structure bien déterminées, peut avoir une, deux ou trois dimensions.     

‘Sur de nouvelles series pour le probleme de masses critiques de routh dans le probleme restreint plan des trois corps’ by J. Roels

The conclusions of the paper mentioned in the title are not in agreement with a previous paper of Meyer and Schmidt (1971). A mistake in Roels' paper is corrected which makes the two papers agree.     

Sur une generalisation des equations lagrangiennes permettant une extension de la transformation KS

Résumé Cet arricle est composé de deux parties, l'une établie par M. Langlois, l'autre par Mme Losco. La première partie est consacrée à l'étude des équations de Poincaré qui sont les équations de Lagrange du mouvement lorsqu'on introduit des pseudo-paramètres. Une application de ces équations est intéressante à envisager lorsque l'on mélange coordonnées et pseudo-paramètres et que les coordonnées sont ignorables dans le lagrangien. On établit alors un théorème de réduction des équations du mouvement par des relations invariantes. La transformation KS entre dans ce cadre. La seconde partie concerne la construction de matrices généralisant KS. Ce sont des matrices dont les premières lignes définissent des variablesQ , les dernières lignes des pseudo-paramètres et pour lesquelles on peut appliquer le théoreme de réduction établi précédemment.Le mouvement général du corps solide dansR ⁿ permet une construction de telles matrices, de même que KS est associée à une rotation deR ⁿ.

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This paper is composed of two parts, the first one established by M. Langlois, the other one by L. Losco. First a study of Poincaré's equations is made, which are Lagrangian equations where use is made of some quasi-coordinates. One application of these equations is very interesting when some coordinates are ignorable in the Lagrangian. A theorem of reduction is obtained with invariant relations. KS is of this kind. Then matrices are constructed which generalize KS. There are matrices of coordinates and quasi-coordinates, which allow application of the theorem of reduction previously obtained. The general motion, helicoidal motion, of a rigid body inR ⁿ-space allows to obtain such matrices, just as KS corresponds to a rotation inR ⁴.Some results have been briefly published in two notes mentioned at the end.