Dynamics of the Chelyabinsk Meteoroid Fall: Altitude and Time Dependences

Черногор, Л. Ф.; Mylovanov, Yu. B.

doi:10.15407/rpra23.02.104

Cited by 6 publications

(6 citation statements)

References 2 publications

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“…Let us use the time dependence of the absolute velocity (Fig. 2) from [31]. This dependence was obtained as a result of regression analysis and application of a regularizing algorithm to the observed coordinates of the falling body.…”

Section: Dynamics and Physics Of Bodies Of The Solar Systemmentioning

confidence: 99%

“…To estimate the radiation intensity from the light curve (see Fig. 1), we use the empirical relation from [3,11] and the results of the calculations from [31,32] (1) where I opt is the intensity of visible optical radiation and M V is the apparent absolute magnitude. This empirical relationship was obtained by E. Epic for the visible part of the spectrum from λ 1 = 0.45 μm to λ 2 = 0.57 μm and is taken from [3,11].…”

Section: Dynamics and Physics Of Bodies Of The Solar Systemmentioning

confidence: 99%

“…To estimate the radiation intensity in the entire wavelength range, we use the optical correction [31,32] ( The temperature dependence of the optical correction for the working and standard radiation ranges is shown in Fig. 5.…”

Section: Optical Correctionmentioning

confidence: 99%

“…For larger fragments, due to the higher strength relative to the main parent body, we neglect the processes of secondary destruction and take into account only the air drag, Coriolis force, and gravity in the equation of motion of the fragments. The equation of motion in this case has the following form according to [31,32]: (12) where v f is the vector of the fragment velocity; C d = 0.76 is the of the dynamic air drag [31,32]; m f is the mass of the fragment, kg; ρ is the air density at the calculated altitude, kg/m 3 ; S f is the midsection area, m 2 ; v f is the absolute speed of the fragment, m/s; ω = Ωe z is the vector of the angular velocity of the Earth's rotation; e z is the vector of the Earth's axis in the geocentric coordinate frame [18]; Ω ≈ 7.29 × 10 -5 rad/s is the angular velocity of the Earth's rotation [18]; R ⊕ ≈ 6378 km is the Earth's radius [18]; g 0 ≈ 9.81 m/s 2 is the acceleration of gravity at the Earth's surface; h is the altitude of the fragment above the Earth's surface, km; and r and r are the radius vector in the geocentric coordinate system and its absolute value, m.…”

Section: Optical Correctionmentioning

confidence: 99%

“…In this study, we will attempt to examine these parameters, relying primarily on the books [5,10,11,19]. This paper is a continuation of the research started in [15,31,32].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Falling of the Chelyabinsk Meteoroid: Sizes, Radiation, and Destruction

Черногор

Mylovanov

2021

Kinemat. Phys. Celest. Bodies

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The purpose of this paper is to obtain refined altitude-time dependences of radiation intensity and mass of the Chelyabinsk meteoroid during the fall, determine the size of the bolide, and build a model of destruction with an estimate of the fragment distribution parameters by mass. The study into the impact of large celestial bodies on the environment is an urgent task for forecasting environmental consequences. The radiation intensity was calculated using the time dependence of the bolide's brightness and E. Epic's empirical formula. The Stefan-Boltzmann law and M. Planck's formula were used for the radiation model of a perfect black body in a limited range of wavelengths. A method was found to determine the size of the bolide according to published observations from the video recorder. For the construction of the model of continuous fragmentation, an adapted equation of individual fragments' motion was used. Three types of mass distribution of fragments were tested: logarithmically normal, power-law, and uniform. As a result of the numerical simulation, the contribution of radiation energy was determined. It was shown that 21% of the kinetic energy of a meteoroid was spent on radiation. The variations in the mass, altitude-time dependences of the bolide size, and the parameters for different distributions of fragments by mass were calculated. The diameter of the bolide head reached 2 km, and the length of the tail was 3.5-4 km. It was found that the results of fragmentation are described at the initial stage of motion by the power-law distribution, while the distribution is lognormal in denser layers of the atmosphere. The characteristics of the swarm of stone fragments that may have followed the meteoroid were estimated. The length of the swarm reached 30 km, the maximum mass of the swarm was estimated at 400 t, and the radiation energy was 0.6% relative to the initial kinetic energy of the meteoroid.

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Section: Dynamics and Physics Of Bodies Of The Solar Systemmentioning

confidence: 99%

Section: Dynamics and Physics Of Bodies Of The Solar Systemmentioning

confidence: 99%

Section: Optical Correctionmentioning

confidence: 99%

Section: Optical Correctionmentioning

confidence: 99%

“…In this study, we will attempt to examine these parameters, relying primarily on the books [5,10,11,19]. This paper is a continuation of the research started in [15,31,32].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dynamic Falling of the Chelyabinsk Meteoroid: Sizes, Radiation, and Destruction

Черногор

Mylovanov

2021

Kinemat. Phys. Celest. Bodies

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Dynamic falling of the Chelyabinsk meteoroid: The sizes, radiation and destruction

Черногор¹,

Mylovanov²

2021

Kinemat. fiz. nebesnyh tel (Online)

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Ìåòà ðîáîòè -îòðèìàííÿ óòî÷íåíèõ âèñîòíî-÷àñîâèõ çàëåaeíîñòåé ³íòåíñèâíîñò³ âèïðîì³íþâàííÿ òà ìàñè ×åëÿá³íñüêîãî ìåòåî -ðî¿äà ï³ä ÷àñ ïàä³ííÿ, âèçíà÷åííÿ ðîçì³ð³â áîë³äà òà ïîáóäîâà ìîäåë³ ðóéíóâàííÿ ç îö³íêîþ ïàðàìåòð³â ðîçïîä³ëó ôðàãìåíò³â çà ìàñîþ. Âèâ ÷åííÿ âïëèâó âåëèêèõ íåáåñíèõ ò³ë íà íàâêîëèøíº ñåðåäîâèùå º àêòóàëüíîþ çàäà÷åþ äëÿ ïðîãíîçó åêîëîã³÷íèõ íàñë³äê³â. Äëÿ ðîçðàõóíêó ³í -òåíñèâíîñò³ âèïðîì³íþâàííÿ âèêîðèñòîâóâàëèñÿ ÷àñîâà çàëåaeí³ñòü áëèñêó áîë³äà é åìï³ðè÷íà ôîðìóëà Å. Åï³êà. Äëÿ ìîäåë³ âèïðîì³íþâàííÿ àáñîëþòíî ÷îðíîãî ò³ëà â îáìåaeåíîìó ä³àïàçîí³ äîâaeèí õâèëü çàñòîñîâóâàâñÿ çàêîí Ñòåôàíà -Áîëüöìàíà òà ôîðìóëà Ì. Ïëàíêà. Çíàéäåíî ñïîñ³á âèçíà÷åííÿ ðîçì³ðó áîë³äà çà îïóáë³êîâàíèìè ñïîñòåðå aeåííÿìè ç â³äåîðåºñòðàòîðà. Ïðè ïîáóäîâ³ ìîäåë³ áåçïåðåðâíîãî äðîáëåííÿ çàñòîñîâàíî àäàïòîâàíå ð³âíÿííÿ ðóõó îêðåìèõ ôðàãìåí -ò³â. Âèïðîáîâóâàëèñÿ òðè âèäè ðîçïîä³ëó óëàìê³â çà ìàñàìè: ëîãàðèô -

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Physical effects from the Yushu meteoroid. 1

Черногор¹

2022

Kinemat. fiz. nebesnyh tel (Online)

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Dynamics of the Chelyabinsk Meteoroid Fall: Altitude and Time Dependences

Cited by 6 publications

References 2 publications

Dynamic Falling of the Chelyabinsk Meteoroid: Sizes, Radiation, and Destruction

Dynamic Falling of the Chelyabinsk Meteoroid: Sizes, Radiation, and Destruction

Dynamic falling of the Chelyabinsk meteoroid: The sizes, radiation and destruction

Physical effects from the Yushu meteoroid. 1

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