# 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…

## 16 Citations

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

- Physics, Geology
- 2017

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 various contributions in Venus rotation rate and LOD

- Physics, Geology
- 2011

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

- Physics, Geology
- 2015

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.

- PhysicsAnais da Academia Brasileira de Ciencias
- 2021

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

- Physics, Geology
- 2012

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

- Geology, Physics
- 2015

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

- Physics, Geology
- 2018

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…

Prevalence of Fibonacci numbers in orbital period ratios in solar planetary and satellite systems and in exoplanetary systems

- Physics, GeologyAstrophysics and Space Science
- 2019

It is shown that orbital period ratios of successive planets in the Solar System, of satellites in giant planet systems and of exoplanets in exoplanetary systems are preferentially closer to…

The role of the moon on close encounters and impacts of near-earth asteroids with the earth

- Chemistry
- 2015

Diese Arbeit untersucht wie der Mond die Dynamik von erdnahen Asteroiden (NEAs) beeinflusst. Es wird berechnet inwieweit der Mond in der Lage ist die Bahnen von NEAs zu verandern, und ob er die Erde…

## References

SHOWING 1-10 OF 37 REFERENCES

A numerical experiment on the chaotic behaviour of the Solar System

- Physics, GeologyNature
- 1989

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

- Physics, Geology
- 2002

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

- Physics, Geology
- 1996

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…

The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones

- Physics, Geology
- 1990

Asteroid motion near the 3 : 1 resonance

- Physics, Geology
- 1993

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

- Physics, Geology
- 2008

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

- Geology, Physics
- 2008

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…

Modeling the 5 : 2 Mean-Motion Resonance in the Jupiter–Saturn Planetary System

- Physics, Geology
- 2001

Abstract The motion of the Jupiter–Saturn planetary system near the 5 : 2 mean-motion resonance is modeled analytically in the frame of the planar general three-body problem. The topology of the…