Third-order development of shape, gravity, and moment of inertia for highly flattened celestial bodies. Application to Ceres

Free Access

Table 4

(a−c) radii difference for different interior models of Ceres assuming the mean radius derived from the Hubble Space Telescope observations by Thomas et al. (2005) (C1, C2, C3) and the mean radius derived from adaptive optics imaging Drummond et al. (2014) (C4).

(a−c)	Homogeneous	Two-layer	Four-layer	Four-layer
Method	C1 (km)	C2 (km)	C3 (km)	C4 (km)

This paper, numerical^a
First order	37.908	30.939	31.286	30.480
Second order	39.561	32.011	32.384	31.541
Third order	39.739	32.107	32.483	31.635

MacLaurin, analytical^b
First order	37.908 (1.856)	–	–	–
Second order	39.561 (0.203)	–	–	–
Third order	39.739 (0.025)	–	–	–
(exact)	39.764	–	–	–

Approximate, analytical
First order^c	37.908	30.939	–	–
First order^d	37.908	30.948	–	–

Numerical^e	39.7	33.1	–	–

Notes. The number in parentheses in the second column describes the accuracy of the Maclaurin solution.

^(a)

This paper.

^(b)

Analytical, homogeneous Maclaurin ellipsoid.

^(c)

Dermott (1979).

^(d)

Zharkov et al. (1985).

^(e)

Thomas et al. (2005).

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.