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Table 1 Parameters of the Earth used for the determination of Antarctic polar motion excitation functions. Sources: (a) Petit and Luzum (2010), (b) Wilson and Vicente (1990), (c) Göttl (2013), (d) Seitz et al. (2012), (e) Mathews et al. (1991)

From: The influence of Antarctic ice loss on polar motion: an assessment based on GRACE and multi-mission satellite altimetry

Parameter

Name

Value

Source

a

Earth’s equatorial radius

6378136.3 m

(a)

GM

Gravimetric gravitational constant

\(3986004418\cdot 10^{14}\) m3s-2

(b)

\(\Omega\)

Earth’s mean angular velocity

\(7.292115\cdot 10^{-5}\) rad s-1

(b)

A

Equatorial moment of inertia of the Earth

\(8.0095\cdot 10^{37}\) kg m2

(c)

B

Equatorial moment of inertia of the Earth

\(8.0097\cdot 10^{37}\) kg m2

(c)

C

Axial moment of inertia of the Earth

\(8.0359\cdot 10^{37}\) kg m2

(c)

G

Gravitational constant

\(6.674\cdot 10^{-11}\) m3kg-1s-2

(b)

\(k'_2\)

Degree 2 load Love number

\(-0.308\)

(a)

T

Chandler period

432.98 d

(d)

\(A_c\)

Equatorial moment of inertia of the Earth’s core

\(9.1168\cdot 10^{36}\) kg m2

(e)

\(\epsilon _c\)

Ellipticity of the Earth’s core

\(2.546\cdot 10^{-3}\)

(e)