The Chaotic Obliquity of Mars

@article{Touma1993TheCO,
  title={The Chaotic Obliquity of Mars},
  author={Jihad R. Touma and Jack Wisdom},
  journal={Science},
  year={1993},
  volume={259},
  pages={1294 - 1297}
}
Numerical integration of the rotation of Mars shows that the obliquity of Mars undergoes large chaotic variations. These variations occur as the system evolves in the chaotic zone associated with a secular spin-orbit resonance. 
The role of chaotic resonances in the Solar System
TLDR
The authors' understanding of the Solar System has been revolutionized over the past decade by the finding that the orbits of the planets are inherently chaotic, with adverse effects on the climates of otherwise biologically interesting planets.
Obliquity‐oblateness feedback on Mars
A simple model is presented for the coupled dynamics of the orbit-rotation-climate system of Mars. Changes in the orientation of the spin pole, relative to the orbit pole, influence the
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
ON THE SPIN-AXIS DYNAMICS OF A MOONLESS EARTH
The variation of a planet's obliquity is influenced by the existence of satellites with a high mass ratio. For instance, Earth's obliquity is stabilized by the Moon and would undergo chaotic
PRE-LATE HEAVY BOMBARDMENT EVOLUTION OF THE EARTH's OBLIQUITY
The Earth's obliquity is stabilized by the Moon, which facilitates a rapid precession of the Earth's spin axis, detuning the system away from resonance with orbital modulation. It is, however, likely
Judging a planet by its cover : insights into lunar crustal structure and Martian climate history from surface features
Thesis: Ph. D. in Planetary Sciences, Massachusetts Institute of Technology, Department of Earth, Atmospheric, and Planetary Sciences, 2014.
...
...

References

SHOWING 1-10 OF 20 REFERENCES
Chaotic Evolution of the Solar System
TLDR
This calculation confirms that the evolution of the solar system as a whole is chaotic, with a time scale of exponential divergence of about 4 million years, and indicates that the Jovian planet subsystem is chaotic.
Resonant obliquity of Mars
Colombo's top
We analyse in details a simple dynamical system proposed by G. Colombo for the description of the rotational state of planets and satellites. We show that the derivatives of the critical areas are
The moment of inertia of Mars
The non-hydrostatic contribution to the oblateness is calculated based on the single assumption that non-hydrostatic contributions to the moments-of-inertia are axially symmetric about the principal
Mars: Change in Axial Tilt Due to Climate?
TLDR
The average tilt of Mars' equator with respect to its orbital plane may have increased significantly over the age of the solar system, although Earth-like effective viscosities can account for virtually the entire present obliquity.
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
More about the moment of inertia of Mars
The maximum allowable mean moment-of-inertia I of Mars is 0.3650 {center dot}MR{sup 2} because the rate-of-adjustment of the rotation axis is much faster than the rate-of-generation of density
A Three Million Year Integration of the Earth's Orbit
The equations of motion of the nine planets and the Earth's spin axis are integrated for 3.05 million years into the past. The equations include the dominant relativistic corrections and corrections
Secular evolution of the solar system over 10 million years
Construction de l'evolution seculaire du systeme solaire en fonction de la masse, de l'excentricite et de l'inclinaison des orbites en tenant compte des effets lunaires et relativistes. Le systeme
...
...