Euler, Jacobi, and missions to comets and asteroids

@article{Efroimsky2002EulerJA,
  title={Euler, Jacobi, and missions to comets and asteroids},
  author={Michael Efroimsky},
  journal={Advances in Space Research},
  year={2002},
  volume={29},
  pages={725-734}
}
  • M. Efroimsky
  • Published 2002
  • Physics, Mathematics
  • Advances in Space Research
Abstract Whenever a freely spinning body is found in a complex rotational state, this means that either the body experienced some interaction within its relaxation-time span, or that it was recently “prepared” in a non-principal state. Both options are encountered in astronomy where a wobbling rotator is either a recent victim of an impact or a tidal interaction, or is a fragment of a disrupted progenitor. Another factor (relevant for comets) is outgassing. By now, the optical and radar… Expand

Figures from this paper

Complex rotation with internal dissipation. Applications to cosmic-dust alignment and to wobbling comets and asteroids.
Neutron stars, asteroids, comets, cosmic-dust granules, spacecraft, as well as whatever other freely spinning body dissipate energy when they rotate about any axis different from principal. WeExpand
Long-Term Evolution of Orbits About A Precessing Oblate Planet: 1. The Case of Uniform Precession
It was believed until very recently that a near-equatorial satellite would always keep up with the planet’s equator (with oscillations in inclination, but without a secular drift). As explained inExpand
TIDAL EVOLUTION OF ASTEROIDAL BINARIES. RULED BY VISCOSITY. IGNORANT OF RIGIDITY
This is a pilot paper serving as a launching pad for study of orbital and spin evolution of binary asteroids. The rate of tidal evolution of asteroidal binaries is defined by the dynamical LoveExpand
Long-term evolution of orbits about a precessing oblate planet. 2. The case of variable precession
We continue the study undertaken in Efroimsky [Celest. Mech. Dyn. Astron. 91, 75–108 (2005a)] where we explored the influence of spin-axis variations of an oblate planet on satellite orbits.Expand
Precession Relaxation of Viscoelastic Oblate Rotators
Perturbations of all sorts destabilise the rotation of a small body and leave it in a non-principal spin state. In such a state, the body experiences alternating stresses generated by the inertialExpand
Energy dissipation by internal stresses in a free-rotating symmetric ellipsoid: Application to Comet P/Halley
Internal stresses dissipate energy in a rotating body, unless it spins about one of its principal axes. If the body is rotating around a non-principal axis, its major-inertia axis and its angularExpand
Stress field and spin axis relaxation for inelastic triaxial ellipsoids
A compact formula for the stress tensor inside a self-gravitating, triaxial ellipsoid in an arbitrary rotation state is given. It contains no singularity in the incompressible medium limit. TheExpand
Asteroid 1620 Geographos: III. Inelastic Relaxation in the Vicinity of the Poles
The rate of inelastic relaxation of asteroid 1620 Geographos in the vicinity of the poles, corresponding to rotation about the axes of minimal and maximal principal moment of inertia, was consideredExpand
Simulations of wobble damping in viscoelastic rotators.
TLDR
Simulations of nearly spherical but wobbling bodies with hard and soft cores show that the energy dissipation rate is more sensitive to the material properties in the core than near the surface. Expand
Mechanical Alignment of Suprathermal Paramagnetic Cosmic-Dust Granules: The Cross Section Mechanism
We develop a comprehensive quantitative description of the cross section mechanism discovered by Lazarian. This is one of the processes that determine grain orientation in clouds of suprathermalExpand
...
1
2
...

References

SHOWING 1-10 OF 57 REFERENCES
Relaxation of wobbling asteroids and comets - theoretical problems, perspectives of experimental observation
Abstract A body dissipates energy when it freely rotates about any axis different from principal. This entails relaxation, i.e., decrease of the rotational energy, with the angular momentumExpand
Inelastic dissipation in wobbling asteroids and comets
Asteroids and comets dissipate energy when they rotate about any axis different from the axis of the maximal moment of inertia. We show that the most efficient internal relaxation happens at twiceExpand
Disruption of kilometre-sized asteroids by energetic collisions
Recent numerical studies suggest that ‘rubble-pile’ asteroids (gravitationally bound aggregates of collisional debris) are common in the Solar System, and that self-gravitation may equal or exceedExpand
Comments on the rotational state and non-gravitational forces of comet 46P/Wirtanen
Abstract Experience of modeling the rotational state and non-gravitational forces of comet 1P/Halley and other comets is applied to comet 46P/Wirtanen. While the paucity of physical data onExpand
On a Possible Rotation State of (433) Eros
Abstract Due to its extremely prolate figure, Asteroid (433) Eros may exhibit an unusual nonprincipal axis rotation state. As a result of a relatively small difference between the maximum andExpand
Radio science results during the NEAR-shoemaker spacecraft rendezvous with eros
We determined the mass of asteroid 433 Eros, its lower order gravitational harmonics, and rotation state, using ground-based Doppler and range tracking of the Near Earth Asteroid RendezvousExpand
Coma Morphology And Constraints On The Rotation Of Comet Hale–Bopp (C/1995 O1)
We present constraints on the spin state of comet Hale-Bopp based on coma morphology. Three cases of rotational states are compatible with near perihelion observations: (1) principal-axis rotation,Expand
Long-Term Evolution of Rotational States and Nongravitational Effects for Halley-like Cometary Nuclei
Abstract We present the results of numerical simulations for the long-term evolution of rotational states of near-prolate cometary nuclei over many orbits under sublimation-induced torques. We deriveExpand
Precession of a freely rotating rigid body. Inelastic relaxation in the vicinity of poles
When a solid body is freely rotating at an angular velocity Ω, the ellipsoid of constant angular momentum, in the space Ω1,Ω2,Ω3, has poles corresponding to spinning about the minimal-inertia andExpand
Earth, Moon and Planets
THIS is one of a series of books from Harvard Observatory, all of which are compiled by specialists in their own particular sphere. The present volume gives up-to-date information about the bodies inExpand
...
1
2
3
4
5
...