Pertubação orbital devida a um terceiro corpo com distribuição não uniforme de massa e em órbita elíptica

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estabilidade de órbitas congeladas em torno de satélites planetários utilizando o sistema hamiltoniano na forma normal

Pós-graduação em Física - FEG

Dinâmica do sistema binário Plutão-Caronte

Pós-graduação em Física - FEG

Reanálise das defasagens de Prometeu e Pandora

In the present work it is proposed to do a revision on some studies on the dynamics of the Prometheus-Pandora system. In special, those studies that deal with anomalous behaviours observed on its components, identi ed as angular lags in these satellite`s orbits. Initially, it is presented a general description, contextualising the main characteristics of this system. The main publications related to this subject are analised and commented, in chronological order, showing the advances made in the knowledge of such dynamics. An analysis of the initial conditions, used by Goldreich e Rappaport (2003a ,b) e Cruz (2004), obtained through observations made by the Voyager 1 and 2 spacecrafts and by the Hubble space telescope, it is made in order to try to reproduce their results. However, no clear conclusion of the values used were found. The tests addopted in the analysis are from Cruz (2004), which reproduced the results and o ered a new explanation on the origin of the observed angular lags. The addopetd methodology involves the numerical integration of the equations of motion of the system, including the zonal harmonics J2, J4 and J6 of Saturn's gravitational potential. A fundamental consideration in this study is the use of geometric elements instead of osculating elements. It was found the set of initial data that best reproduces the results from Goldreich e Rappaport (2003a, b) and Cruz (2004)

Sobre a dinâmica de rotação de um planeta através de um sistema médio

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Analisando a possibilidade de um anel ao redor de um satélite

On November 26 th, 2005, Rhea, one of Saturn's moons, is found by Cassini spacecraft approximately at 5.105 km from Saturn. Observations in situ reveal that electrons are depleted in the moon's vicinity. However, Rhea is considered massive enough to retain a thin atmosphere. Assumption was that the atmosphere of Rhea was not composed exclusively of gas, its likely contains solid material that can absorb magnetospheric particles. According to Jones et al. (2008), these particles were in a speci c position so that at the moment of observation the electrons could not be detected. In opposition to this idea there is a group, Tiscareno et al. 2010, Cornell University Library, that underwent intensive search for any material that might be orbiting Rhea using Cassini images, however the could not identify any. Second recommendation made by American researchers and other countries, and accepted by the National Board of Research the Cassini Equinox Mission will continue in orbit around Saturn until 2016.The probe will perform several maneuvers with high inclination to delve into the main ring system, and then enter in Saturn's atmosphere and collide with planet. This research is of great importance because until today no rings were found orbiting satellites. The goal of this work is to analyze the orbital evolution of a set of particles around Rhea disturbance of Saturn, J2 e J4 and check results by the numerical simulations and the possibility of a stable ring orbiting Rhea.

Estudos de estabilidade no sistema Ʋ andromedae A

Pós-graduação em Física - FEG

Estudos sobre as defasagens de Prometeu e Pandora

Pós-graduação em Física - FEG

O invariante E(G, W, M): algumas propriedades e aplicações na teoria de decomposição de grupos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Cálculo diferencial e integral no movimento dos planetas

Pós-graduação em Matemática em Rede Nacional - IBILCE

Estudo de manobras evasivas com perturbações orbitais

Pós-graduação em Física - FEG

Estudos de acoplamento spin-órbita em dinâmica do sistema solar

Pós-graduação em Física - FEG

Potencial gravitacional lunar

We know that the orbit of a lunar satellite, and consequently its orbital lifetime is mainly inuenced by the gravitational field of the Moon, Earth and Sun. In this text we study the Lunar gravitational potential and its influence on the gravitational field. We adapted a program in order to map the Moon gravitational field. To that end it was necessary to develop a program that allows the simulation and mapping the lunar full potential. Our program was based on the program developed by Hélio Kuga, and adapted to our case (Moon). We used the model proposed by Konopliv et al. 2001, we proposed various degree and order expansions of spherical harmonics that served us to compare and validate our program

Potencial gravitacional lunar

We know that the orbit of a lunar satellite, and consequently its orbital lifetime is mainly inuenced by the gravitational field of the Moon, Earth and Sun. In this text we study the Lunar gravitational potential and its influence on the gravitational field. We adapted a program in order to map the Moon gravitational field. To that end it was necessary to develop a program that allows the simulation and mapping the lunar full potential. Our program was based on the program developed by Hélio Kuga, and adapted to our case (Moon). We used the model proposed by Konopliv et al. 2001, we proposed various degree and order expansions of spherical harmonics that served us to compare and validate our program

Estudio de la estructura de autofunciones de sistemas caóticos en una base de funciones de scar

El problema central que aborda esta tesis doctoral es el estudio de la correspondencia entre la mecanica clasica y la mecanica cuantica en sistemas hamiltonianos clasicamente caoticos, tema que se enmarca dentro del llamado caos cuantico. En concreto, en este trabajo proponemos un nuevo y efectivo metodo para calcular las autofunciones de sistemas caoticos usando una base de funciones de scar. Dichas funciones de scar juegan un papel fundamental en el estudio de las manifestaciones cuanticas del caos, ya que se trata de funciones de onda semiclasicas con una dispersion muy peque~na y localizadas a lo largo de las variedades invariantes de las orbitas periodicas inestables del sistema que conforman la estructura organizativa del caos clasico. El metodo de calculo desarrollado se ha denominado Metodo de Gram- Schmidt Selectivo (MGSS), dado que construye la base haciendo uso del metodo de Gram{Schmidt convencional pero teniendo en cuenta, ademas, la dispersi on de las funciones de scar y la longitud de la orbita periodica a lo largo de la cual se localizan. El MGSS nos ha permitido calcular con gran precision las 2400 autofunciones con menor energa de un oscilador cuartico altamente caotico con dos grados de libertad acoplados, as como autofunciones muy excitadas en una ventana de energa, utilizando en ambos casos una base mucho mas eciente que las descritas en la literatura. Ademas, hemos empleado el MGSS para calcular las autofunciones del sistema molecular LiNC/LiCN, que presenta un espacio de fases con zonas de regularidad y con regiones en las que el movimiento es altamente caotico; en este ultimo sistema, hemos calculado de forma muy eciente las autofunciones asociadas a las primeras 66 energas. Finalmente, hemos propuesto un metodo perturbativo para calcular velocidades de reaccion en sistemas abiertos descritos por potenciales anarmonicos. Con este metodo, hemos calculado la velocidad de reaccion de distintos potenciales de uno y dos grados de libertad, as como la velocidad de isomerizacion del sistema molecular LiNC/LiCN, tanto sometido a un ruido blanco (sin correlaciones) como en presencia de un ba~no de atomos de argon, lo que constituye un entorno con correlaciones. El metodo desarrollado es independiente de la supercie divisoria y nos ha permitido obtener correcciones analticas a la famosa formula de Kramers, lo que posibilita el calculo exacto de velocidades de reaccion en potenciales anarmonicos que interaccionan con el entorno.