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7. Mechanics, Astronomy, Numerical Analysis, and Mathematical Models in Sciences

An inverse problem related to a system of ordinary differential equations that describes the motion of a meteoroid

Ioana Boacă
Astronomical Institute of the Romanian Academy, Bucharest, Romania

Abstract:

In this work we present the main properties of a meteoroid detected with the use of all-sky cameras. We determined ballistic coefficient $\alpha$ and the mass-loss parameter $\beta$ starting from the measured values of the velocity of a meteoroid by using the least square method (an inverse problem related to a system of ordinary differential equations). Once the ballistic coefficient $\alpha$ and the mass-loss parameter $\beta$ for are determined for a selected sample of fireball events showing noticeable deceleration $(\frac{V_{f}}{V_{0}}<0.8)$ we are able to determine which of the meteoroids can produce meteorites on the Earth's surface.