Mathematical model of the motion of a space vehicle with a manipulator

N.S. Ashchepkova;  ; Yu.D. Sheptun;

doi:10.15407/knit1997.05.034

Technical and mathematical problems of microbiological protection of a manned space vehicle and stations

INCAS BULLETIN ◽

10.13111/2066-8201.2020.12.s.17 ◽

2020 ◽

Vol 12 (S) ◽

pp. 181-192

Author(s):

Lubov STROGONOVA ◽

Sergey PADALKO ◽

Yuri VASIN ◽

Alexander ERMAKOV

Keyword(s):

Mathematical Model ◽

Pattern Recognition ◽

Clinical Medicine ◽

Space Vehicle ◽

Computing Machinery ◽

The Earth ◽

Interesting Task ◽

Mathematical Problems ◽

Biological Tests ◽

Onboard System

During longtime space fights and interplanetary missions among numerous outboard risks, the crew faces onboard microbiological intruders as well. There is no way to send biological tests for the analysis to the Earth in such missions, so special onboard system of methods and activities must solve two different problems: sampling different types of bacteria and fungus and perform independent analysis of collected material without professional microbiologist among the crew and any help from the Earth. So we meet an interesting task to create system that would minimize human factor and rely mostly on computing machinery. In order to use pattern recognition method, we need to perform proper tests sampling and prepare them for the machine analysis. Stereoscopy and spectrometry is the only way to achieve our goal. Apart from tests sampling it is necessary to develop modified mathematical model for pattern recognition of bacteria and fungus, which were found during the flight. For that reason we are making mathematical model, describing microbiological samples. Still, we have a lot of work to do but the result of our research could become common use not only in space sector, but also in clinical medicine as well.

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THE MODELLING OF PARAMETRS OF MOTION OF CENTRE OF MASS OF SPACE VEHICLE AND METHODS OF PROCESSING

Vestnik of Samara University Natural Science Series ◽

10.18287/2541-7525-2013-19-6-147-152 ◽

2017 ◽

Vol 19 (6) ◽

pp. 147-152

Author(s):

E.K. Yakovlev ◽

I.A. Blatov

Keyword(s):

Mathematical Model ◽

Kalman Filter ◽

Numerical Experiments ◽

Space Vehicle ◽

Wavelet Filter ◽

Centre Of Mass

A mathematical model of motion of centre of mass of space vehicle is suggested and methods of processing of parameters based on the usage of Kalman filter and combined wavelet filter are also suggested. The results of numerical experiments of defining parameters are presented.

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About Gravitational (Inertial) Motors

Advances in Business Information Systems and Analytics - Strategic Information Systems and Technologies in Modern Organizations ◽

10.4018/978-1-5225-1680-4.ch005 ◽

2017 ◽

pp. 90-126

Author(s):

Dan Ciulin

Keyword(s):

Mathematical Model ◽

Gravitational Field ◽

Space Vehicle ◽

Elliptic Functions ◽

Energy Sources ◽

Direct Transfer ◽

Mechanical Interaction ◽

Exponential Functions ◽

Gravitational Fields ◽

Complex Exponential

A gravitational motor interact with the locally gravitational field in order to produce a linear and/or rotational thrust able to move in space a given vehicle. The big advantages of such a motor are the facts that it can be used for nearly any kind of vehicle, even in free space, and may be placed inside the vehicle as the necessary interactions with the environment are realized through gravitational fields but not by direct mechanical interaction as for actual motors used for vehicles. Generally, in mechanics a physical motor may be considered as a ‘transducer' between some input (equivalent) energy existing on a vehicle and the output (equivalent) obtained movement of this vehicle. For space treks, such a motor must be able to ensure the take-off and/or landing of a space vehicle on any given planet and carry the entire load corresponding to this vehicle including also the necessary energy sources and eventually a human crew. By analogy with the Levitron toy the atomic particles, and the maglev such motor may be built. The paper presents some ideas and mathematical models that may help to build such a gravitational motor. It starts by presenting the energy based differential equations that have as solution analytic complex exponential functions, elliptic and ultra-elliptic functions adding also a physical interpretation of their coefficients. Forces and torques in mechanic and electro mechanic are presented and also methods to obtain such forces using only torques. Based on the modified Euler equations of a gyroscope with an added magnet like for the Levitron toy, an electro-mechanical gravitational motor may be built and a mathematical model for the gravitational waves is also deduced. Maybe, by using this kind of waves, a permanent contact between an interplanetary ship and the earth can be kept. Another kind of inertial motor may be based on the direct transfer of the energy of acoustical and/or ultra-acoustical waves that represents the desired ‘inertia' of a vehicle to this vehicle. This kind of transfer may be realized using convenient acoustical and/or ultra-acoustical 3-D sources. This last method has the advantage that uses no mechanical component in movement and then may lead to a better reliability. Associated with a good and convenient technology that may be developed on the presented bases, all these tools are of most strategic importance. Applications may be found in interplanetary telecommunications and treks but also for a new, more sure and versatile, telecommunications systems and terrestrial vehicles. The presented tools may be used for mathematically modeling the fields and ensure also a more comprehensive understanding.

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