scholarly journals Reconfigurable Satellite Constellation Design for Disaster Monitoring Using Physical Programming

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Xiangyue He ◽  
Haiyang Li ◽  
Luyi Yang ◽  
Jian Zhao
Keyword(s):  
Mathematical Model ◽  
Satellite Orbit ◽  
Orbital Transfer ◽  
Physical Programming ◽  
Satellite Constellation ◽  
Constellation Design ◽  
The Earth ◽  
Target Sites ◽  
Disaster Monitoring ◽  
Total Velocity

Data collection by satellites during and after a natural disaster is of great significance. In this work, a reconfigurable satellite constellation is designed for disaster monitoring, and satellites in the constellation are made to fly directly overhead of the disaster site through orbital transfer. By analyzing the space geometry relations between satellite orbit and an arbitrary disaster site, a mathematical model for orbital transfer and overhead monitoring is established. Due to the unpredictability of disasters, target sites evenly spaced on the Earth are considered as all possible disaster scenarios, and the optimal reconfigurable constellation is designed with the intention to minimize total velocity increment, maximum and mean reconfiguration time, and standard deviation of reconfiguration times for all target sites. To deal with this multiobjective optimization, a physical programming method together with a genetic algorithm is employed. Numerical results are obtained through the optimization, and different observation modes of the reconfigurable constellation are analyzed by a specific case. Superiority of our design is demonstrated by comparing with the existing literature, and excellent observation performance of the reconfigurable constellation is demonstrated.

Satellite constellation design with genetic algorithms based on system performance

2016 ◽  
Vol 27 (2) ◽  
pp. 379-385 ◽  
Author(s):  
Xueying Wang ◽  
Jun Li ◽  
Tiebing Wang ◽  
Wei An ◽  
Weidong Sheng
Keyword(s):  
Genetic Algorithms ◽  
System Performance ◽  
Satellite Constellation ◽  
Constellation Design

scholarly journals Possibilities of improving the TD88 atmospheric total density model

2010 ◽  
pp. 57-61
Author(s):  
S. Segan ◽  
D. Marceta
Keyword(s):  
Mathematical Model ◽  
Control Model ◽  
Density Model ◽  
Total Density ◽  
Polyharmonic Function ◽  
The Earth ◽  
The Mathematical Model

In this paper we have examined possibilities for preserving and improving the total density model of the Earth?s neutral thermosphere TD88 (Sehnal and Posp?silov? 1988) via modelling differences between TD88 and NRLMSISE-00 (Picone et al. 2002), which is used as a control model. It is shown that these residuals can be approximated with polyharmonic function. Starting from this we have developed the mathematical model of the residuals to identify their origin and possibilities to improve the TD88 model itself.

scholarly journals Mathematical Models and Evaluation Software for Stress-Strain State of the Earth’s Lithosphere

2019 ◽  
pp. 51-66
Author(s):  
Alexander O. Faddeev ◽  
Svetlana A. Pavlova ◽  
Tatiana M. Nevdakh
Keyword(s):  
Mathematical Model ◽  
Strain State ◽  
Uniform Grid ◽  
Shear Stresses ◽  
Stress Strain ◽  
Gravitation Field ◽  
Vertical Movements ◽  
Stress Strain State ◽  
The Earth ◽  
Viscous Shear

Introduction. For the purposes of this article, geodeformation processes mean processes associated with deformations arising from the movement of species and blocks of the lithosphere at various depths, including surfaces. The objective is to reconstruct geodynamic stress fields, which cause modern shifts and deformations in the Lithosphere. A mathematical model and software for estimating the stress-strain state of the Earth Lithosphere are considered. Materials and Methods.For mathematical modeling of stresses, isostatically reduced data on abnormal gravitation field were used. The methods of continuum mechanics and methods of the theory of differential equations were used to design a model for estimating the stressstrain state of the Earth Lithosphere. For processing input, intermediate and outcoming data, the Fourier transform method of spectral analysis for constructing grid functions and spectral-temporal method were used. To model for the stress-strain state of the Lithosphere globally, stress calculation was corrected on the basis of sputnik-derived velocity data at the surface of the earth crust. The data on the rates of horizontal and vertical movements at the surface of the Earth crust were processed to obtain a distribution of velocities in the uniform grid embracing longitudes and latitudes. The processing procedure was carried out on the basis of the Kraiging method. The software was developed in Borland Delphi 7.0 programming environment. Results. Based on the data on the abnormal gravitation field in isostatic reduction and information on the distribution of velocities of horizontal motions on the surface of the Earth crust, a mathematical model of the stress-strain state of the Lithosphere was constructed. With the help of the obtained mathematical model and software complex, the stress-strain state of the Lithosphere was calculated at various depth using elastic and elastic-viscous models, and maps of equipotential distribution of shear elastic-viscous deformations in the lithosphere at the depth of 10 km were constructed. Discussion and Conclusion. The presented mathematical model and software allow restoring fields of both elastic and elastic-viscous deformations that is fundamental for quantification of elastic-viscous shear stresses deep in the Earth Lithosphere.

Satellite constellation design algorithm for remote sensing of diurnal cycles phenomena

2018 ◽  
Vol 62 (9) ◽  
pp. 2529-2550 ◽  
Author(s):  
Sung Wook Paek ◽  
Luzius G. Kronig ◽  
Anton B. Ivanov ◽  
Olivier L. de Weck
Keyword(s):  
Remote Sensing ◽  
Design Algorithm ◽  
Diurnal Cycles ◽  
Satellite Constellation ◽  
Constellation Design

Contributions to a Future Inertial Motor and More

2013 ◽  
Vol 4 (1) ◽  
pp. 63-97 ◽  
Author(s):  
Dan Ciulin
Keyword(s):  
Mathematical Model ◽  
Gravitational Waves ◽  
Euler Equations ◽  
Electronic Devices ◽  
Trigonometric Functions ◽  
Jet Engines ◽  
Comprehensive Understanding ◽  
Life Conditions ◽  
Lifting Force ◽  
The Earth

For a future interplanetary trip, a space ship must be able to take off and/or land on a planet and travel at a convenient speed, insure convenient life conditions for the embarked crew, and keep contact with Earth. Chemical jet-engines used for the space ships must throw masses with enough speed to insure a convenient lifting force. Ion jet-engines, which have a much bigger jet-speed than chemical, may work for a longer time but the resulting force is small and cannot insure the take off and/or landing on a planet. A future inertial motor does not need to throw masses but needs only energy to produce the necessary lifting force. The paper presents contributions to build such a motor. As on a given vehicle, mainly rotations may be done to insure its propulsion, we start by presenting generally the rotations, at first for the electronic devices and then for mechanical one Methods that may convert the rotation into translation are after presented. Observing that the mathematical models used for rotations are extended from trigonometric functions to elliptical and ultra-elliptical ones, the author presents the differential equations that define such functions. Finally, using the modified Euler equations, a mathematical model for the gravitational waves is deduced. By using this type of waves, a permanent contact between an interplanetary ship and the earth can be kept. The presented tools may be used for modeling the fields and insure also a more comprehensive understanding.

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