Regarding comet G3 ATLAS with an orbital period of approximately 160,000 years, there are no direct historical observations documented in contemporary astronomical records due to the long interval between its appearances. However, ancient texts and myths might contain indirect references to such celestial events, but these are speculative and not scientifically verifiable.
Cross-referencing the orbital period of G3 ATLAS with known cyclical celestial events, the comet's long-period orbit suggests it is likely part of the Oort Cloud, a theoretical cloud of predominantly icy planetesimals that is thought to surround the Sun at distances ranging from about 2,000 to 100,000 AU (Astronomical Units). The gravitational influence of the Oort Cloud could be a factor in maintaining such an orbit, with perturbations from passing stars or the galactic tide potentially triggering its ejection towards the inner solar system.
Regarding potential gravitational influences or resonant patterns, long-period comets like G3 ATLAS may experience gravitational perturbations from the giant planets, particularly Jupiter and Saturn, as they approach the inner solar system. These perturbations can significantly alter the comet's orbit, potentially leading to capture into shorter orbits or ejection from the solar system. The concept of mean-motion resonances, where the orbital periods of two bodies are related by a ratio of small integers, could theoretically play a role in stabilizing long-period orbits, though no specific resonant patterns have been confirmed for G3 ATLAS.
Analyzing the possibility of gravitational influences from a hypothetical companion star like Nemesis, while there is no conclusive evidence for its existence, some theories suggest that such a body could perturb the Oort Cloud, increasing the frequency of long-period comets entering the inner solar system. However, current observational data and simulations do not support the existence of Nemesis, though the possibility remains a topic of theoretical interest.
In summary, while G3 ATLAS's orbit is influenced by the dynamics of the Oort Cloud and potential perturbations from known celestial bodies, no definitive historical observations or resonant patterns have been identified to explain its long-period orbit with high certainty. Further research and observational data are needed to fully understand these dynamics.