Resonance Phenomena in Planetary Systems: A Stability Analysis

Abstract

Resonances are found to have crucial implications in the dynamics and stability of the planetary systems: position of the planets, moons, and stable asteroids. This article is a detailed discussion on resonance effects in systems whereby the gravitational forces cause orbital resonance affecting system stability. It reviews characteristics of up to nine types of resonances including mean motion and secular resonances and their effects on the future stability of the orbits of planets. As it will be shown in the following article through analytical calculations as well as numerical simulations, these resonances can either stabilize or destabilize a certain system, which might result in chaotic motion or ejection of the bodies. Papers for practical illustrations of how the resonance phenomena affects the current structure and evolution of planetary systems are made from concrete cases on planetary systems such as the Solar System and other exoplanetary systems. The work focused on the concept of resonance with regards to formation and migration of planets, as well as possibility of habitable conditions on exoplanets. Understanding resonance-related movement, then, this article is to explain the essence of fragile equilibrium that regulates design and stability of planetary systems. The study is relevant to the overall concept of celestial mechanics, thus enhancing the understanding of the different forces that govern the existence of the unknown universe.