Velocity field of image points in satellite imagery of planet’s surface
https://doi.org/10.32362/2500-316X-2020-8-1-97-109
Abstract
This paper derives a formula for calculating the velocity of arbitrary point in the field of view of the satellite camera in the process of orbital imagery of the planet's surface. The formula describes the velocity as a function of the point coordinates in the image fixation plane, the focal length of the imaging camera, the orbital parameters of the satellite, the angular velocity of the planet’s rotation, the coordinates of the satellite’s true anomaly in the orbit, the orientation angles of the imaging camera relative to the orbit, and the angular velocity of the camera. The paper also provides examples of the formula use for calculating the velocity field of image points for different sets of imagery parameters.
The formula is derived under the assumption that the planet is a homogeneous absolutely solid body, shaped as a ball, and rotating at a constant angular velocity; as a result, the satellite moves in a Keplerian orbit, with the planet located at one of the orbit’s foci. Despite this idealization, the derived formula can be used in developing algorithms for remote sensing of the Earth, for building and optimizing the image blurring compensators, for solving the problem of blurred image recovery, and for a number of other problems related to satellite imagery preparation, execution, and processing the results.
About the Authors
V. Ya. Gecha
”VNIIEM Corporation” JC
Russian Federation
Russian Federation
Vladimir Ya. Gecha - Dr. Sci. (Engineering), Professor, Deputy General Director, Chief Designer of Open Joint Company ‘Research and Production Corporation ‘Space Monitoring Systems, Information & Control and Electromechanical Complexes’ named after A.G. Iosifian’
4/1, Khoromny tupik, Moscow 107078
M. Yu. Zhilenev
”VNIIEM Corporation” JC
Russian Federation
Russian Federation
Mikhail Yu. Zhilenev - Senior Researcherof Open Joint Company ‘Research and Production Corporation‘ Space Monitoring Systems, Information & Control and Electromechanical Complexes’ named after A.G. Iosifian’
4/1, Khoromny tupik, Moscow 107078
V. B. Fyodorov
MIREA – Russian Technological University
Russian Federation
Russian Federation
Viktor B. Fyodorov - Cand. Sci. (Physics and Mathematics), Associate Profesor, Associate Professor of the Department of Higher Mathematics of the Institute of Cybernetics
78, Vernadskogo pr., Moscow 119454
D. A. Khrychev
MIREA – Russian Technological University
Russian Federation
Russian Federation
Dmitry A. Khrychev - Cand. Sci. (Physics and Mathematics), Associate Professor, Associate Professor of the Department of Higher Mathematics of the Institute of Cybernetics
78, Vernadskogo pr., Moscow 119454
Yu. I. Hudak
MIREA – Russian Technological University
Russian Federation
Russian Federation
Yury I. Hudak - Dr.Sci. (Engineering), Professor, Head of the Department of Higher Mathematics of the Institute of Cybernetics
78, Vernadskogo pr., Moscow 119454
A. V. Shatina
MIREA – Russian Technological University
Russian Federation
Russian Federation
Albina V. Shatina - Dr.Sci. (Physics and Mathematics), Associate Professor, Professor of the Department of Higher Mathematics of the Institute of Cybernetics
78, Vernadskogo pr., Moscow 119454
References
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Supplementary files
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1. Fig. 5. Velocity field of the motion of image points in the plane Π. | |
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For citations:
Gecha V.Ya., Zhilenev M.Yu., Fyodorov V.B., Khrychev D.A., Hudak Yu.I., Shatina A.V. Velocity field of image points in satellite imagery of planet’s surface. Russian Technological Journal. 2020;8(1):97-109. (In Russ.) https://doi.org/10.32362/2500-316X-2020-8-1-97-109
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