Addressing the statistical mechanics of planet orbits in the solar system

作者: Federico Mogavero

DOI: 10.1051/0004-6361/201730916

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摘要: The chaotic nature of planet dynamics in the solar system suggests relevance a statistical approach to planetary orbits. In such description, time-dependent position and velocity planets are replaced by probability density function (PDF) their orbital elements. It is quite natural set up this kind framework mechanics. present paper I focus on collisionless excitation eccentricities inclinations gravitational interactions system, prototype being future trajectories system. thus address mechanics orbits try reproduce PDFs numerically constructed Laskar (2008). show that microcanonical ensemble Laplace-Lagrange theory accurately statistics giant To model inner then investigate ansatz equiprobability phase space constrained secular integrals motion. eccentricity inclination Earth Venus reproduced with no free parameters. Within limitations stationary model, predictions also reasonable agreement Mars Mercury inclination. demands contrast deeper analysis. finally revisit Laskar's random walk time dependence PDFs. Such could be combined direct numerical simulations context formation, which likely process.

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