# CAOSP abstracts, Volume: 32, No.: 1, year: 2002

*Author(s):* KOCIFAJ, M.
*Journal:* Contributions of the Astronomical Observatory Skalnate Pleso, vol. 32, no. 1, p. 25-38.
*Date:* 04/2002
*Title:* Analytical solution of the extended single-body problem and its applications
*Keyword(s):* METEORIC PHYSICS, ABLATION, BRIGHTNESS, INVERSE PROBLEMS
*Pages:* 25 -- 38

**Abstract:**
This paper deals with the solution of well-known single body problem for
small meteoroids moving through Earth's atmosphere. The main result is an
analytical solution which may significantly accelerate numerical modeling
and bring a good view of the specifics of the resulting expressions. A
luminous equation takes into account the deceleration process, and extends
the basic physical model with the dynamical effect of mass dissipation at
the particle surface. Both the particle mass and velocity can then be easily
calculated at an arbitrary altitude in isothermal Earth's atmosphere. The
analytical expressions offer an unambiguous mapping [v_avg, M, h_max]
<--> [v_infinity, m_infinity, delta]. It means the
information on observable parameters (average particle velocity in
Earth's atmosphere v_avg, the maximum magnitude M and height of
maximum luminosity h_max) is a sufficient basis to retrieve an
incident velocity v_infinity, mass m_infinity of the particle and
its mean effective density delta.

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