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Astron. Astrophys. 357, 1115-1122 (2000)

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2. Basic equations

The motion and ablation of a single non-fragmenting body through the atmosphere can be given by three differential equations (linear trajectory; gravity neglected; curved Earth's surface approximated by an osculating sphere, Ceplecha et al. 1993):

[EQUATION]

[EQUATION]

[EQUATION]

[EQUATION]

[EQUATION]

Two independent parameters of the problem can be expressed as

[EQUATION]

For a meteoroid at an arbitrary point of its trajectory, the notation has the following meaning: [FORMULA] velocity; [FORMULA] time (independent variable); [FORMULA] mass; [FORMULA] height; [FORMULA] distance along the trajectory; [FORMULA] air density; [FORMULA] zenith distance of the radiant (slope to vertical); [FORMULA] drag coefficient; [FORMULA] heat transfer coefficient; [FORMULA] is the shape factor; [FORMULA] head cross-section; [FORMULA] bulk density of meteoroid; [FORMULA] energy necessary for ablation of a unit mass; [FORMULA] are constants of the geometrical position of the trajectory.

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© European Southern Observatory (ESO) 2000

Online publication: June 5, 2000
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