This paper proposes a new non-linear differential equation for the six degrees of freedom (6-DOF) relative rigid bodies motion. A representation theorem is provided 6-DOF motion in arbitrary non-inertial reference frame. The problem two spacecraft specific case Keplerian confocal orbits proposed. result an analytical method without secular terms and singularities. Tensors dual algebra quaternio...

introduction penetration of a bicycle brake handle into the orbit is a rare and serious type of trauma. globe subluxation due to such trauma has not been previously reported. case presentation a 10-year-old girl presented after falling from a bicycle, which resulted in the handbrake penetrating her right upper eyelid. on examination, the globe was subluxated anteriorly, there was no light perce...

Both orbital and rotational dynamics employ the method of variation of parameters. We express, in a non-perturbed setting, the coordinates (Cartesian, in the orbital case, or Eulerian in the rotation case) via the time and six adjustable constants called elements (orbital elements or rotational elements). If, under disturbance, we use this expression as ansatz and endow the “constants” with tim...

Both orbital and rotational dynamics employ the method of variation of parameters. We express, in a non-perturbed setting, the coordinates (Cartesian, in the orbital case, or Eulerian in the rotation case) via the time and six adjustable constants called elements (orbital elements or rotational elements). If, under disturbance, we use this expression as ansatz and endow the “constants” with tim...

An experimental study is conducted on three ½ scales, single-story, single-bay, frame specimens. The first specimen was a reinforced concrete frame with solid-brick infill. The second specimen was a reinforced concrete frame with hollow clay perforated-brick infill. The last specimen was a reinforced concrete frame without any infill. These three specimens were tested by pseudostatic method. Di...

follicular thyroid carcinoma (ftc) is the second most common type of thyroid cancer after papillary carcinoma. it usually grows slowly and is clinically indolent; but rarely, its aggressive forms with distant metastases can occur. we report here an uncommon case of bilateral orbital metastasis of ftc. a 70-year-old woman presented with bilateral exophtalmus and past medical history of thyroid n...

PURPOSE The purpose of this study was to analyze the practice management patterns of the current members of the American Society of Ophthalmic Plastic and Reconstructive Surgery (ASOPRS) and to determine the use of oral prophylactic antibiotics in an attempt to prevent orbital cellulitis following nonoperative orbital fractures. PATIENTS AND METHODS A cross-sectional web-based survey was emai...

For certain applications, such as on-orbit inspection of orbital debris, defunct satellites, and natural objects, it is necessary to obtain a map of a rotating object from a moving observer, as well estimate the object’s center of mass. This paper addresses these tasks using an observer that measures its orientation, angular rate, acceleration, and is equipped with a dense 3D visual sensor such...