The morphology of the ǫ Eridani dust ring is reproduced by a numerical simulation of dust particles captured into the 5:3 and 3:2 exterior mean-motion resonances with a 0.3 eccentricity 10 solar mass planet at periastron at a semi-major axis of 40 AU. The morphology will differ when the planet is at aphelion, in about 140 years. Moderate eccentricity planets in outer extra-solar systems will ca...

This paper presents results of an investigation on how supplemental viscous damping can be used to control excessive deformations in asymmetric-plan buildings. It is shown that symmetric distribution of supplemental damping devices in the building plan is not necessarily the best way to control excessive deformations in an asymmetric-plan building; a value of the damping eccentricity equal to t...

The self gravitating ellipsoid has been the subject of study by many physicists and mathematicians. Newton first started the subject in the attempt to determine the eccentricity of the earth, which he modelled using a rigidly rotating ellipsoid made of a fluid of uniform density and subject only to its own gravity. Later on McLaurin generalized and refined his calculation of the eccentricity. I...

This paper utilizes Aubry-Mather theory to construct instability regions for a certain three body problem. We consider a Sun-Jupiter-Comet system and under some simplifying assumptions and show the existence of instabilities for orbit of the comet. In particular we show that a comet which starts close to orbit of an ellipse of eccentricity e = 0.748 can increase in eccentricity up to e = 0.826....

Abstract Thrust eccentricity refers to the phenomenon that thrust vector deviates from axis of symmetry. This will produce lateral force and torque around aircraft, which affects normal flight increases required control torque, reduces density uncontrolled rockets. There are three sources eccentricity: mass eccentricity, geometric aerodynamic eccentricity. The is caused by asymmetrical flow com...