Chaotic diffusion of the fundamental frequencies in the Solar System

The long-term variations in the orbit of Earth govern insolation on its surface and hence climate. use astronomical signal, whose imprint has been recovered geological records, revolutionized determination timescales. However, orbital beyond 60 Myr cannot be reliably predicted because chaotic dynamics planetary orbits Solar System. Taking this dynamical uncertainty to account is necessary for a complete calibration records. Our work addresses problem with statistical analysis 120 000 solutions secular model System ranging from 500 5 Gyr. We obtain marginal probability density functions fundamental frequencies using kernel estimation. estimation also obtained here form confidence intervals determined by moving block bootstrap method. results are shown good agreement those direct integrations comprehensive Application our illustrated two data sets: Newark-Hartford records Libsack core.