Talk:Love number

Ref.[2]
the link does not work any more Ra-raisch (talk) 20:34, 4 February 2019 (UTC)

kL
I found the definition of kL = 3J2vo²/vt² in with J2=(Jz-Jx)/r²m, vt²=ω²r² and vo²=Gm/r. Ra-raisch (talk) 18:31, 10 February 2019 (UTC)

First Reference
The following paper was submitted in 1908, then read early 1909. It is available as a free .pdf from Roy Soc. LOVE, A. E. H., 1909. "The yielding of the earth to disturbing forces". Proc. Roy. Soc. London, A 82, pp. 73 – 88. King of Tea Tree (talk) 11:53, 24 February 2020 (UTC) The Love numbers h and k are first introduced at the end of section 3 of Love's 1909 paper “The Yielding of the Earth to Disturbing Forces”. That paper was submitted on 18 Nov 1908. King of Tea Tree (talk) 07:28, 1 March 2020 (UTC)

Tidal Love Numbers (k₂) of Solar System Objects (plus notes, analysis and empirical formulas)
Measures the rigidity of a planetary body and its susceptibility to change shape in response to a tidal potential.

The first numbers are the ones that I decided are probably the most correct, and the ones in parentheses are others I found online.


 * Earth:  0.308
 * Moon:   0.024±0.002 (0.02405, 0.0222, 0.02664)
 * Mercury: 0.485±0.04 (0.0965, 0.52, 0.45)
 * Venus:  0.275±0.02 (0.295, 0.254)
 * Mars:   0.168 (0.168, 0.0712)
 * Jupiter: 0.58±0.07 (0.525, 0.565, 0.66)
 * Io:     0.09 (or as much as 0.5 with a very high melt fraction, i.e. magma ocean)
 * Saturn: 0.36±0.03 (0.341, 0.39)
 * Titan:  0.47±0.1 (0.36, 0.57)

The tidal Love number k₂ can be approximated from planet mass (m) by the formula "k₂ = 2e24m^0.82" for smaller terrestrial worlds, "k₂ = 5e25m^2.03" for earth-like worlds, and "k₂ = 2e28m^3.5" for giant planets. These formulas are extrapolated from the above data.


 * Higher core mass = higher love number
 * Higher mantle mass = lower love number


 * More homogenous interior = higher love number
 * More stratified interior = lower love number

SnailsAttack (talk) 15:09, 30 June 2021 (UTC)