Related Experiment Video
Updated: Jun 15, 2026

Atom Probe Tomography Analysis of Exsolved Mineral Phases
Published on: October 25, 2019
Gravity field, shape, and moment of inertia of Titan
Luciano Iess1, Nicole J Rappaport, Robert A Jacobson
1Dipartimento di Ingegneria Aerospaziale ed Astronautica, Università La Sapienza, via Eudossiana 18, 00184 Rome, Italy. luciano.iess@uniroma1.it
Abstract:
Precise radio tracking of the spacecraft Cassini has provided a determination of Titan's mass and gravity harmonics to degree 3. The quadrupole field is consistent with a hydrostatically relaxed body shaped by tidal and rotational effects. The inferred moment of inertia factor is about 0.34, implying incomplete differentiation, either in the sense of imperfect separation of rock from ice or a core in which a large amount of water remains chemically bound in silicates. The equilibrium figure is a triaxial ellipsoid whose semi-axes a, b, and c differ by 410 meters (a-c) and 103 meters (b-c). The nonhydrostatic geoid height variations (up to 19 meters) are small compared to the observed topographic anomalies of hundreds of meters, suggesting a high degree of compensation appropriate to a body that has warm ice at depth.
Related Concept Videos
Mass Moment of Inertia
Consider a differential mass element on an arbitrary object. The differential moment of inertia can be calculated by multiplying the mass of the element by the square of its distance from the object's rotational...
Moments of Inertia: Problem Solving
Moments of Inertia for Areas
Inertia Tensor
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
Moments of Inertia for an Area about Inclined Axes
Mass Moment of Inertia: Problem Solving
The axle can be approximated to a solid cylinder with longitudinal and perpendicular axes. Initially, a thin disc is considered parallel to the circular face of the cylinder.

