Dynamic portrait of the planetary 2/1 mean-motion resonance - II. Systems with a more massive inner planet

This paper presents the second part in our study of the global structure of the planar phase space of the planetary three-body problem, when both planets lie in the vicinity of a 2/1 mean-motion resonance. While Paper I was devoted to cases where the outer planet is the more massive body, the present work is devoted to the cases where the more massive body is the inner planet. As before, outside the well-known Apsidal Corotation Resonances (ACR), the phase space shows a complex picture marked by the presence of several distinct regimes of resonant and non-resonant motion, crossed by families of periodic orbits and separated by chaotic zones. When the chosen values of the integrals of motion lead to symmetric ACR, the global dynamics are generally similar to the structure presented in Paper I. However, for asymmetric ACR the resonant phase space is strikingly different and shows a galore of distinct dynamical states. This structure is shown with the help of dynamical maps constructed on two different representative planes, one centred on the unstable symmetric ACR and the other on the stable asymmetric equilibrium solution. Although the study described in the work may be applied to any mass ratio, we present a detailed analysis for mass values similar to the Jupiter-Saturn case. Results give a global view of the different dynamical states available to resonant planets with these characteristics. Some of these dynamical paths could have marked the evolution of the giant planets of our Solar system, assuming they suffered a temporary capture in the 2/1 resonance during the latest stages of the formation of our Solar system.

Chromosome homologies of the highly rearranged karyotypes of four Akodon species (Rodentia, Cricetidae) resolved by reciprocal chromosome painting: the evolution of the lowest diploid number in rodents

Traditionally comparative cytogenetic studies are based mainly on banding patterns. Nevertheless, when dealing with species with highly rearranged genomes, as in Akodon species, or with other highly divergent species, cytogenetic comparisons of banding patterns prove inadequate. Hence, comparative chromosome painting has become the method of choice for genome comparisons at the cytogenetic level since it allows complete chromosome probes of a species to be hybridized in situ onto chromosomes of other species, detecting homologous genomic regions between them. In the present study, we have explored the highly rearranged complements of the Akodon species using reciprocal chromosome painting through species-specific chromosome probes obtained by chromosome sorting. The results revealed complete homology among the complements of Akodon sp. n. (ASP), 2n = 10; Akodon cursor (ACU), 2n = 15; Akodon montensis (AMO), 2n = 24; and Akodon paranaensis (APA), 2n = 44, and extensive chromosome rearrangements have been detected within the species with high precision. Robertsonian and tandem rearrangements, pericentric inversions and/or centromere repositioning, paracentric inversion, translocations, insertions, and breakpoints, where chromosomal rearrangements, seen to be favorable, were observed. Chromosome painting using the APA set of 21 autosomes plus X and Y revealed eight syntenic segments that are shared with A. montensis, A. cursor, and ASP, and one syntenic segment shared by A. montensis and A. cursor plus five exclusive chromosome associations for A. cursor and six for ASP chromosome X, except for the heterochromatin region of ASP X, and even chromosome Y shared complete homology among the species. These data indicate that all those closely related species have experienced a recent extensive process of autosomal rearrangement in which, except for ASP, there is still complete conservation of sex chromosomes homologies.

Painting Students at Work

Two students learning painting at the New York Trade School are shown here working on decorative designs. Black and white photograph.

Sign Painting Department

In this section of the Sign Painting Department several students are shown working on projects. Decorating the walls are numerous signs, likely painted by students in the department. Black and white photograph.

Sign Painting Students at Work

A classroom of students in the Sign Painting Department at the New York Students is shown working on a variety of signs. Black and white photograph.

Sign Painting Student Working Outside

A Sign Painting student from the New York Trade School is pictured working outside on scaffolding on an AMOCO sign. Black and white photograph.

Section of Sign Painting Department

A section of the Sign Painting Department is shown with students working at tables. A variety of signs can be seen hanging around the room including one for a Holiday Inn, an American Meat Market, and one for a Laundrette. Black and white photograph with slight damage from a tear.

Mural Painting

For my freshman Jan Plan at Colby I painted a mural in Runnals Union illustrating a William Blake poem. This effort began a four year painting project which I pursued my sophomore and junior years by finishing the Hall of the Machines in Runnals and by commencing the Paper Wall in Roberts. As a Senior Scholar, I've continued my undertaking by painting eleven more panels. Eight of these are in the Paper Wall and the other three are in the Spa in Miller Library. In my wallpainting up until this year my major interest has been in a strong two-dimentional design created by color juxtaposition. Over these two semesters I've developed a greater concern with the role of color value contrasts in achieving a sense of three-dimensional space. As one views my paintings in chronological order, he can see that gradually colors become less intense, value contrasts more effective, and subject matter becomes based on observation rather than imagination. Please judge my achievement solely on observation of the walls in these three rooms as this paper is only a very brief catalogue of works and the slides are not the best reproductions.

Sign Painting Students

A professor instructs two students working on a large sign for the "Carousel Shoppe." Black and white photograph.

Bennett Archambault Portrait

Portrait of Bennett Archambault who was a speaker at the evening school graduation of the New York Trade School in 1949. From a press release attached to the portrait: "Walter Weir, Inc., 250 West 57th Street, New York 19, N.Y., John Black, Public Relations & Publicity Department, Plaza 7-0140, May 23, 1949, For Release: Friday, May 27, 1949, BENNETT ARCHAMBAULT: Member of the Board of Trustees, New York Trade School, and Treasurer, The M.W. Kellogg Company, who reviewed the school's long history and drew an impressive picture of its future, in an address at the 68th Annual Evening School Graduation, held last night (May 26) in the school building on East 67th Street, New York." Black and white photograph.

Chromosomal painting and ZW sex chromosomes differentiation in Characidium (Characiformes, Crenuchidae)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)