Resonant and Secular Orbital Interations

In stable solar systems, planets remain in nearly elliptical orbits around their stars. Over longer timescales, however, their orbital shapes and sizes change due to mutual gravitational perturbations. Orbits of satellites around a planet vary for the same reason. Because of their interactions, the orbits of planets and satellites today are different from what they were earlier. In order to determine their original orbits, which are critical constraints on formation theories, it is crucial to understand how orbits evolve over the age of the Solar System. Depending on their timescale, we classify orbital interactions as either short-term (orbital resonances) or long-term (secular evolution). My work involves examples of both interaction types. Resonant history of the small Neptunian satellites In satellite systems, tidal migration brings satellite orbits in and out of resonances. During a resonance passage, satellite orbits change dramatically in a very short period of time. We investigate the resonant history of the six small Neptunian moons. In this unique system, the exotic orbit of the large captured Triton (with a circular, retrograde, and highly tilted orbit) influences the resonances among the small satellites very strongly. We derive an analytical framework which can be applied to Neptune's satellites and to similar systems. Our numerical simulations explain the current orbital tilts of the small satellites as well as constrain key physical parameters of both Neptune and its moons. Secular orbital interactions during eccentricity damping Long-term periodic changes of orbital shape and orientation occur when two or more planets orbit the same star. The variations of orbital elements are superpositions of the same number of fundamental modes as the number of planets in the system. We investigate how this effect interacts with other perturbations imposed by external disturbances, such as the tides and relativistic effects. Through analytical studies of a system consisting of two planets, we find that an external perturbation exerted on one planet affects the other indirectly. We formulate a general theory for how both orbits evolve in response to an arbitrary externally-imposed slow change in eccentricity.

Affective and Experiential Influences on English Skills of Heritage Spanish Speakers

Gemstone Team GABS (Grammar Acquisition in Bilingual Students)

RUSSIAN THREADS: THE PRESENCE OF RUSSIAN INFLUENCES IN TWENTIETH­ CENTURY ENGLISH CELLO MUSIC

A cursory glance at cello works by English composers during the twentieth- century yields an unexpected relationship to Russian musicians, history, culture, and religion. One must wonder how this connection or "Russian thread" came to be. When considering the working relationship of Benjamin Britten and Mstislav Rostropovich, the likelihood of such a connection is tangible, since their deeply personal friendship influenced Britten's music for cello. However, what is perhaps more interesting is the emergence of connections to Russia in the works of other English composers of the twentieth-century, featuring works from 1913-1996. This project was conceived after close study and analysis of Benjamin Britten's Third Suite for Solo Cello, Op. 87 (1971). Britten's inclusion of Russian folk tunes and an Orthodox Church hymn signaled the penetrating presence of Russian elements in his works. Britten's First Suite for Solo Cello, Op. 72, Third Suite for Cello, Op. 87, and Sonata for Piano and Cello in C, Op. 65 are presented in this project. Further exploration of works for cello by English composers unveiled similar connections to Russia. The Sonata for Cello and Piano of Frank Bridge is likened to Russian romanticism and the Cello Sonata of Sergei Rachmaninoff. William Walton's Cello Concerto was written for the Russian-American cellist Gregor Piatigorsky. Wake Up ...and die is John Tavener's deeply spiritual work, which is rooted in his Russian Orthodoxy. John Ireland, influenced by models of French and Russian Impressionism, contributed works colored with Russian folk influences, of which his Piano Trio No. 2 is an example. Finally, Arnold Bax traveled to Russia as a young man and his Folk Tale and Legend Sonata are imbued with the spirit of Russian folk music and architecture. This dissertation project is comprised of three recitals featuring English works for cello connected by a "Russian Thread." All events took place on the campus of University of Maryland, College Park: Recital #1 on December 4, 2011 in the Gildenhorn Recital Hall of the Clarice Smith Performing Arts Center, Recital #2 on February 11,2012, and Recital #3 on April 15, 2012, both in the Ulrich Recital Hall.

Tracing Neoclassical Influences in selected solo and chamber music for the clarinet

The musical period of Neoclassicism began in the 1920's, between the first and second world wars. It was initiated by French composers and eventually spread to other countries. One of the most important themes to emerge from the movement was to escape from the formless, rather emotional music of the Romantic era and instead, emphasize balance, order, objectivity and clarity in musical form. Many popular clarinet repertoires are enjoyed by performers and listeners because the music is enjoyable to play and easy to listen to. In particular, classically influenced clarinet music is quite interesting because it features musical elements from both the past and contemporary musical styles. For instance, some composers have integrated preexisting, more traditional styles of composition with lighter styles of modern culture such as popular music and Jazz. It is difficult to discover purely neoclassical clarinet repertoires even though many composers created their pieces during the neoclassical era. What we most commonly find are both neoclassical and non-neoclassical influences in compositions from that time period. Thus, I aim to trace the influence of neoclassicism in selected clarinet repertoires that exist today. It is my hope that increased awareness and knowledge about accessible clarinet music may encourage the general public to develop a deeper interest in a wider sphere of clarinet music, beyond what is considered popular today. The works performed and discussed in this dissertation are the following: (Recital I) Duo Concertante by Darius Milhaud; Sonata by Leonard Bernstein; Sonata for Two Clarinets by Francis Poulenc; Duos for Flute and Clarinet, Op. 34 by Robert Muczynski; Dance Preludes by Witold Lutoslawski, (Recital II) Sonatine by Arthur Honegger; Time pieces by Robert Muczynski; Suite for Clarinet, Violin and Piano by Darius Milhaud; Sonate for Clarinet, Flute and Piano by Maurice Emmanuel; Tarantelle for Flute, Clarinet and Piano, Op. 6 by Camille Saint-Saëns, (Recital III) Sonatina by Joseph Horovitz; Suite from L'histoire du Soldat for Clarinet, Violin and Piano by Igor Stravinsky; Contrasts for Clarinet, Violin and Piano by Béla Bartók The recitals that took place on December 1, 2012 and on April 25, 2013 were performed in the Ulrich Recital Hall of the Clarice Performing Arts Center in College Park, Maryland. The recital that took place on November 2, 2013 was performed at the Gildenhorn Recital Hall of the same performing arts center.