Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


NIS participants

Spacecraft motion parameters computation with taking into account interplanetary medium dynamic processes.

Shkharupin V.V., Shkharupin V.V.

SDO"Yuzhnoye" (Dniepropetrovsk)

777

The report considers the problems, connected with programs complex development for several interdependent tasks of space vehicles motion parameters calculation accounting interplanetary environment dynamic processes.

The basic tasks include:

? the physical conditions definition for space area, where space vehicle motion descends;

? force influence on a space vehicle calculation;

? space vehicle motion parameters calculation.

The physical conditions in interplanetary environment are determined by interaction of a solar wind with interstellar environment. The physical conditions in neighborhood of planets and other objects space are determined by interplay them with interplanetary environment. The interplay of a solar wind with interstellar environment is determined during calculation of a non-steady field of magnetic gas dynamics flow at peculiar motion of the Sun in local unmoved interstellar environment. Thus the basic sources of dynamic processes in interplanetary environment (bump of coronary weight of the Sun, corpuscular and X-radiation etc.), and also interplay of a solar wind with magnetic gas dynamics fields of planets are modelled. Interstellar and interplanetary environment is considered as continuum subordinating to the laws of magnetic gas dynamics. To the main features of statement of a task it is possible to attribute essential unsteady-statement, 3-dimensional, waiving of a principle of versed motion. The method of splitting on physical processes and spatial variable is used at the solution. The program of calculation of magnetic gas dynamics flow represents implementation of the set of algorithms such as particle - in - cell. Feature of program realization of a method is the opportunity of use various of finite-difference scytvt at the first stage, various discrete models of current - on second and application of various algorithms on third. During account of one variant of the program it is given an opportunity periodically to change tactics and method of the decision depending on character of a task and features of the current results of the account. Thus the program will realise practically all set of methods such as particles (method of marcers, currents, particle-in-cell, vortex-in-cell, particles-and-forces, vortexes-and-forces etc.). This method allows by a natural image to actuate in calculation an blowing, outflow, disturbance of interplanetary environment (non-uniformity, magnetic clouds, shockwaves, rarefaction wave etc.). The program provides conveyering, paralleling of the account and adaptation to a concrete configuration of the computing system. To increase of accuracy of the decision is applied extrapolation a method of Richardson, using the decisions of a task on a sequence of grids.

At calculation of force influence on a space vehicle the gravitational, electromagnetic interactions, light pressure, dynamic disturbances of interplanetary environment, relativity effects taken into account.

At calculation of parameters of motion of a space vehicle alongside with traditional the mathematical model of dynamics of a solid body is stipulated on the basis of system of the equations using as kinematic variables parameters of Rodrigues - Hamilton.

For obtaining guaranteed accuracy of the solution usage of methods of the interval analysis is envisioned.

The structural construction of a complex of the programs includes the program of control by a complex as a whole, databank and software packages of the basic tasks. The data bank provides information support of a complex. He contains the data about the Sun, planets and other objects of interplanetary space, and also base systems of the initial data for activity of a complex and outcomes of calculations.

It is clear that any mathematical model can not give the depleting description of an actuality. Therefore introduced complex of the programs allows to use it for problem solving with usage of sequence of models of the increasing complexity.

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Note. Abstracts are published in author's edition



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