A differential algebraic integration algorithm is developed for symplectic mapping through a three-dimensional (3-D) magnetic field. The self-consistent reference orbit in phase space is obtained by making a canonical transformation to eliminate the linear part of the Hamiltonian. Transfer maps from the entrance to the exit of any 3D magnetic field are then obtained through slice-by-slice sympl...

The purpose of this paper is the semi-analytical computation of the bounded orbits of Hill’s equations, describing the relative motion of two particles in their Keplerian motion around a central body. We have considered the case in which one of the particles moves along a circular reference orbit. The solutions obtained are the generalisation of the usual periodic orbits obtained for the linear...

The High-Resolution Imaging Camera (HiRIC) onboard China’s Tianwen-1 Mars probe aims to acquire detailed imagery of the Martian surface comprehensively investigate its topography and geomorphology. HiRIC is a pushbroom camera comprising three CCDs simultaneously achieve sub-meter resolution large swath. However, processing images using conventional photogrammetric workflow difficult due ...

We investigate the dynamics associated to nearly–integrable dissipative systems, with particular reference to some models of Celestial Mechanics which can be described in a weakly dissipative framework. We start by studying some paradigmatic models provided by the dissipative standard maps in 2 and 4 dimensions. The dynamical investigation is performed applying frequency analysis and computing ...

The statistics of estimated errors when conducting the orbit determination of a tethered satellite system (TSS) by only using Doppler frequencies is shown. TSS consists of two satellites connected each other by a tether. The center of mass (CM) moves like a single satellite, so this system can be utilized in case of a single satellite as well as TSS. This is considered as a low-cost orbit deter...

In the last 4 years, there have been a few reports concerning unconventional management of the fat posterior to the orbital septum (intraorbital) as well as periorbital fat located superficial to the orbital septum in a plane both superficial and deep to the orbicularis oculi muscle. With reference to intraorbital fat, some reports suggest that this fat be preserved and mobilized to other areas...

Abstract: To analyze perturbative effects in the proximity of a reference orbit, it is often advantageous to describe the motion in terms of a set of relative coordinates. We study the relative motion in an attached moving Dreibein that has freedom of torsion in configuration space. The original motion is assumed to be due to the action of scalar or vector potentials, such as those that arise i...

In this paper, we consider a formation keeping problem for a satellite formation flying system. The relative motion dynamics is designed with polytopic uncertainties by considering elliptical reference orbit, noncoplarnar formation and unknown angular rate, angular acceleration within some boundary. We propose a composite nonlinear feedback control law obtained by the solution to an algebraic R...

We study the Pauli-Schrödinger equation in a uniformly rotating frame of reference to describe a coupling of spins and mechanical rotations. The explicit form of the spin-orbit interaction (SOI) with the inertial effects due to the mechanical rotation is presented. We derive equations of motion for a wave packet of electrons in two-dimensional planes subject to the SOI. The solution is a superp...

y 5?s-)-libfg. Solid volume of 586 pages will probably find its way into the reference Tfajr!es of most University Departments of Social Science and Education, and of M,0n!?B Colleges and the like. There, it will be studied with relief by any lecturer ls to speak on a sociological subject which is rather outside his usual orbit; top|cu?ed with enthusiasm by the student asked to write an essay o...