In this article, we introduce a novel three-step approach for solving optimal control problems in space mission design. We demonstrate its potential by the example task of sending a group of spacecraft to a specific Earth L2 Halo orbit. In each of the three steps we make use of recently developed optimization methods and the result of one step serves as input data for the subsequent one. Firstl...

Lunar Laser Ranging (LLR), which has been carried out for more than 35 years, is used to determine many parameters within the Earth-Moon system. This includes coordinates of terrestrial ranging stations and that of lunar retro-reflectors, as well as lunar orbit, gravity field, and its tidal acceleration. LLR data analysis also performs a number of gravitational physics experiments such as test ...

If an absolute reference frame with respect to time, position, or orientation is missing one can only implement quantum operations which are covariant with respect to the corresponding unitary symmetry group G. Extending observations of Vaccaro et al., I argue that the free energy of a quantum system with G-invariant Hamiltonian then splits up into the Holevo information of the orbit of the sta...

We present some results of numerical simulations of a globular cluster orbiting in the central region of a triaxial galaxy on a set of 'loop' orbits. Tails start forming after about a quarter of the globular cluster orbital period and develop, in most cases, along the cluster orbit, showing clumpy substructures as observed, for example, in Palomar 5. If completely detectable, clumps can contain...

Today, concepts within the Global Geodetic Observing System (GGOS) aim a Terrestrial Reference (TRS) with 1 mm accuracy and long-term stability of 0.1 mm/year. GETRIS (Geodesy Time In Space) is concept that aims to realize relativistic reference system based on satellites as an extension TRS. This helps another goal GGOS, namely, connection different satellite layers For valuable contribution G...

A direct abort orbit design method is presented for missions in the Earth-Moon transfer phase of crewed lunar exploration missions. First, according to demand an emergency rescue phase, two schemes are introduced. Then, a serial proposed high-fidelity orbit. An analytical model established calculation initial values, and optimization performed determine single-impulse hybrid process generate tw...

The problem of nonprehensile manipulation a stick in three-dimensional space using intermittent impulsive forces is considered. objective to juggle the between sequence configurations that are rotationally symmetric about vertical axis. dynamics described by five generalized coordinates and three control inputs. Between two consecutive where inputs applied, conveniently represented Poincaré map...

We study the superfluidity of a spin-orbit coupled Bose-Einstein condensate (BEC) by computing its Bogoliubov excitations, which are found to have two branches: one is gapless and phonon-like at long wavelength; the other is typically gapped. These excitations imply superfluidity that has two new features: i) due to the absence of the Galilean invariance, one can no longer define the critical v...

X-ray photoelectron spectra provide a wealth of information on the electronic structure. The extraction of molecular details requires adequate theoretical methods, which in case of transition metal complexes has to account for effects due to the multi-configurational and spin-mixed nature of the many-electron wave function. Here, the restricted active space self-consistent field method includin...

A physically based model is developed to determine hot calibration reference brightness temperatures (TBs) over depolarized regions in the Amazon rain forest. The model can be used to evaluate the end-to-end calibration of any satellite microwave radiometer operating at a frequency between 18 and 40 GHz and angle of incidence between nadir and 55°. The model is constrained by Special Sensor Mic...