On the velocity distribution of the minor planets and stars

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Asteroids, Stellar Motions, Velocity Distribution, Normal Density Functions, Relaxation Time, Solar Orbits, Solar Position, Star Distribution, Statistical Mechanics

Scientific paper

A study is made of the velocity distribution of the minor planets in comparison with that of the stars in the neighborhood of the sun. The phase configuration at a given instant has been obtained and the distribution has been studied for different ecliptic sectors. The velocity distribution of the minor planets is similar to that of the stars and differs little from the trivariate normal distribution. The vertex presents a deviation from the direction of the sun which is positive or negative for different sectors. This vertex deviation is a consequence of the orbit orientations. The relaxation time, deduced from the encounters between the minor planets, is of the order of 10 to the 14th to 10 to the 16th yr.

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