The method of differentiable functional in a problem of lightning discharge localization and time moment determination

Shpadi, Yu. R.; Inchin, Alexander; Lozbin, Anatoliy; Ayazbayev, Galymzhan

doi:10.1088/1742-6596/1352/1/012049

Cited by 1 publication

(1 citation statement)

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“…One of the current actual problems is monitoring of cloud-to-ground lightning discharges (Hu, Zhao, & Zhu, 2010;Koshak & Solakievicz, 2001;Kuterin, Bulatov, & Shlyugaev, 2014;Ramachandran, Kumar, & Kishore, 2003;Shpadi, Inchin, Lozbin, & Ayazbayev, 2019). To solve it, the technology of deploying a network of stations registering a low-frequency radio wave coming from lightning discharges, is often used.…”

Section: The Problem Of Lightning Discharge Coordinates and Time Findingmentioning

confidence: 99%

About Resolvability of the Problem of Lightning Coordinates Finding by the Time of Lightning Discharge Arrival

Shpadi¹,

Inchin²,

Lozbin³

et al. 2021

GEP

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On the unit sphere, the geometric problem of calculating the position of a point relative to three given points is considered. We know the length of three spherical segments that go out from the given points in the direction of the unknown point. The requirement must be fulfilled: the distance from each point to an unknown point must be equal to the sum of the length of the segment outgoing from this point, and some increment, the same for all three segments. In the article, the conditions for the solvability of a geometric problem are established by the methods of spherical trigonometry and vector algebra. It is proved that when they are fulfilled, the problem is always solvable. The number of solutions is two, except in rare cases where there is only one solution. A solution method is presented. One of the practical applications is the problem of determining the time and location of a cloud-to-ground lightning discharge, which is directly reduced to this problem.

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Section: The Problem Of Lightning Discharge Coordinates and Time Findingmentioning

confidence: 99%

About Resolvability of the Problem of Lightning Coordinates Finding by the Time of Lightning Discharge Arrival

Shpadi¹,

Inchin²,

Lozbin³

et al. 2021

GEP

View full text Add to dashboard Cite

show abstract

The method of differentiable functional in a problem of lightning discharge localization and time moment determination

Cited by 1 publication

References 6 publications

About Resolvability of the Problem of Lightning Coordinates Finding by the Time of Lightning Discharge Arrival

About Resolvability of the Problem of Lightning Coordinates Finding by the Time of Lightning Discharge Arrival

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