Motion of the perihelion of a meteor orbit due to thermally induced expansion of the meteor

Astronomy and Astrophysics – Astronomy

Scientific paper

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Elliptical Orbits, Meteoroids, Orbital Mechanics, Perihelions, Thermal Expansion, Differential Equations, Euler-Lagrange Equation, Mass, Orbital Elements, Temperature Profiles

Scientific paper

The effects of thermally induced variations in meteoroid dimensions on meteoroid orbital parameters are considered. An expression for the rate of change of the effective solar mass is derived in terms of variations in meteoroid size and density induced by variations in heliocentric distance, and substituted in the generalized Lagrange equations to obtain differential equations for the evolution of the meteoroid orbit. It is found that while the remaining orbital elements remain constant, the perihelion migrates in a direction opposite to that of orbital motion if the meteoroid material expands when heated, and in the direction of orbital motion if it contracts when heated. It is noted that the effect of thermal expansion can be quite significant for small particles of low density and high thermal expansion coefficient.

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