Modified heliocentric coordinates for particle dynamics

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Coordinates, Celestial Mechanics, Particle Motion, Three Body Problem, Center Of Mass, Molecular Structure, Particle Mass, Algebraic Methods

Scientific paper

A modified heliocentric coordinate system is found for the dynamics of n + 1 particles that is barycentric, diagonalizes the kinetic energy, and is symmetric in n of the particles. The n planetary vectors are based on Radau's canonical point between the center of mass and the heliocenter. These coordinates are especially valuable for describing centrosymmetric molecular fragments ABn, and useful also for the mass polarization in atoms.

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