A survey of near-mean-motion resonances between Venus and Earth

@article{Bazs2009ASO,
  title={A survey of near-mean-motion resonances between Venus and Earth},
  author={{\'A}kos Bazs{\'o} and Rudolf Dvorak and Elke Pilat-Lohinger and V. Eybl and Christoph Lhotka},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={2009},
  volume={107},
  pages={63-76}
}
It is known since the seminal study of Laskar (1989) that the inner planetary system is chaotic with respect to its orbits and even escapes are not impossible, although in time scales of billions of years. The aim of this investigation is to locate the orbits of Venus and Earth in phase space, respectively, to see how close their orbits are to chaotic motion which would lead to unstable orbits for the inner planets on much shorter time scales. Therefore, we did numerical experiments in… 

The Precise and Powerful Chaos of the 5:2 Mean Motion Resonance with Jupiter

This work reexamines the dynamics of the 5:2 mean motion resonance with Jupiter located in the Outer Belt at $a\sim 2.82$ AU. First, we compute dynamical maps revealing the precise structure of chaos

The role of dynamics on the habitability of an Earth-like planet

Abstract From the numerous detected planets outside the Solar System, no terrestrial planet comparable with our Earth has been discovered so far. The search for an Exo-Earth is certainly a big

Testing the FLI in the region of the Pallas asteroid family

Computation of the fast Lyapunov indicator (FLI) is one of the most efficient numerical ways to characterize dynamical nature of motion and to detect phase-space structures in a large variety of

The various contributions in Venus rotation rate and LOD

Context. Thanks to the Venus Express Mission, new data on the properties of Venus could be obtained, in particular concerning its rotation. Aims. In view of these upcoming results, the purpose of

Planet Orbit—Lunar Orbit Resonances and the History of the Earth-Moon System

After reviewing a number of geology and astronomy textbooks, a reader gets the feeling that the Moon is not all that important in the development of our habitable planet. The Moon raises ocean tides

Analysis of the size of Solar system close to the state with zero total angular momentum via Sundman's inequality.

In this paper, we present a new mathematical approach or solving procedure for analysis of the Sundman's inequality (for estimating the moment of inertia of the Solar system's configuration) with the

Stability of higher order resonances in the restricted three-body problem

Third and fourth order mean motion resonances are studied in the model of the restricted three-body problem by numerical methods for mass parameters corresponding approximately to the Sun–Jupiter and

Discussion of the Probability of Finding Habitable Planets for Humans Orbiting Sun-Like Stars

Most scientists that are interested in the habitability of planets can agree on the definition of a habitable zone. But from the quotes shown above, it is clear that there is very little agreement

Orbital Period Ratios and Fibonacci Numbers in Solar Planetary and Satellite Systems and in Exoplanetary Systems

It is shown that orbital period ratios of successive secondaries in the Solar planetary and giant satellite systems and in exoplanetary systems are preferentially closer to irreducible fractions

References

SHOWING 1-10 OF 37 REFERENCES

Existence of collisional trajectories of Mercury, Mars and Venus with the Earth

Numerical simulations of the evolution of the Solar System over 5 Gyr, including contributions from the Moon and general relativity find that one per cent of the solutions lead to a large increase in Mercury’s eccentricity—an increase large enough to allow collisions with Venus or the Sun.

A numerical experiment on the chaotic behaviour of the Solar System

LAPLACE and Lagrange made an essential contribution to the study of the stability of the Solar System by proving analytically that, to first order in the masses, inclinations and eccentricities of

On the Stability of the Terrestrial Planets as Models for Exosolar Planetary Systems

All results, achieved up to now, show the long term stability of our planetary system, although, especially the inner solar system is chaotic, due to some specific secular resonances. We study, by

Large scale chaos and marginal stability in the solar system

Large scale chaos is present everywhere in the solar system. It plays a major role in the sculpting of the asteroid belt and in the diffusion of comets from the outer region of the solar system. All

Asteroid motion near the 3 : 1 resonance

A mapping model is constructed to describe asteroid motion near the 3 : 1 mean motion resonance with Jupiter, in the plane. The topology of the phase space of this mapping coincides with that of the

On the Dynamical Stability of the Solar System

A long-term numerical integration of the classical Newtonian approximation to the planetary orbital motions of the full solar system (Sun + eight planets), spanning 20 Gyr, was performed. The results

On the stability of Earth-like planets in multi-planet systems

We present a continuation of our numerical study on planetary systems with similar characteristics to the Solar System. This time we examine the influence of three giant planets on the motion of

Chaotic diffusion in the Solar System