Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations     

Vladimir Martinuşi  Pini Gurfil 《Celestial Mechanics and Dynamical Astronomy》2011,111(4):387-414

Finding relative satellite orbits that guarantee long-term bounded relative motion is important for cluster flight, wherein a group of satellites remain within bounded distances while applying very few formationkeeping maneuvers. However, most existing astrodynamical approaches utilize mean orbital elements for detecting bounded relative orbits, and therefore cannot guarantee long-term boundedness under realistic gravitational models. The main purpose of the present paper is to develop analytical methods for designing long-term bounded relative orbits under high-order gravitational perturbations. The key underlying observation is that in the presence of arbitrarily high-order even zonal harmonics perturbations, the dynamics are superintegrable for equatorial orbits. When only J ₂ is considered, the current paper offers a closed-form solution for the relative motion in the equatorial plane using elliptic integrals. Moreover, necessary and sufficient periodicity conditions for the relative motion are determined. The proposed methodology for the J ₂-perturbed relative motion is then extended to non-equatorial orbits and to the case of any high-order even zonal harmonics (J _2n , n ≥ 1). Numerical simulations show how the suggested methodology can be implemented for designing bounded relative quasiperiodic orbits in the presence of the complete zonal part of the gravitational potential.  相似文献   

A New Mantispid-Like Species of Rhachiberothinae(Neuroptera:Berothidae)from Baltic Amber,with a Critical Review of the Fossil Record of the Subfamily     

Vladimir N. Makarkin  and Janusz Kupryjanowicz 《《地质学报》英文版》2010,84(4):655-664

<正>Whalfera wiszniewskii sp.nov.is described from the Late Eocene Baltic amber.The genus Whalfera is considered as the only fossil genus confidently assigned to the Rhachlberothinae.Others previously placed in this subfamily belong to Paraberothinae(except perhaps for Oisea).The Late Eocene/present Rhachiberothinae and the Cretaceous Paraberothinae are considered to be the subfamilies of Berothidae.  相似文献   

Geophysical-geochemical investigation of fire-prone landfills     

Vladimir Frid  Dmitri Doudkinski  Gady Liskevich  Efim Shafran  Arie Averbakh  Nikolay Korostishevsky  Larisa Prihodko 《Environmental Earth Sciences》2010,60(4):787-798

This paper deals with the integration of electrical resistivity tomography and geochemical methods for studying four different fire-prone landfills. Landfill gas composition (CH₄, H₂S, O₂, CO, CO₂) and subsurface temperature were measured with the constant net 50 × 50 m from the depth 10–60 cm. 28 electrical resistivity tomography lines were surveyed, while Wenner and Sclumberger electrode arrays were employed for all measurements. At the studied sites the landfill gas and temperature measurements mapped gas and temperature anomalies over underground fire sources. 2D electrical resistivity tomography lines, performed over these anomalies, showed these fire sources as high-resistivity zones. The joint employment of the electrical imaging and geochemical survey seems to be a useful tool in carrying out diagnostic investigations at fire-prone landfills.  相似文献