Table 1: Comparison between constants used for different determinations of the dynamical flattening (H): (1) the precession rate in longitude ($\psi _1$); (2) the speed of the general precession in longitude (p1); (3) the geodesic precession (pg); and (4) the obliquity of the ecliptic at J2000.0 ( $\epsilon _0$). The observational value actually used for each study is written in bold.
    (1) (2) (3) (4)
Sources  H  $\psi _1$  p1  pg   $\epsilon _0$
  ( $\times ~10^3$) (------------ in ''/cy -----------)  

Lieske et al. (1977)
  5038.7784 5029.0966 -1.92   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }448$

Kinoshita (1977) and Seidelmann (1982)
3.2739935 5038.7784 5029.0966 -1.92   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }448$

Williams (1994)
3.2737634 5038.456501 5028.7700 -1.9194   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }409$

Souchay & Kinoshita (1996)
3.2737548        - 5028.7700 -1.9194   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }448$

Bretagnon et al. (1997)
3.2737671 5038.456488 5028.7700 -1.919883   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }412$

Bretagnon et al. (2003)
      - 5038.478750 5028.792262 -1.919883   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }40880$

Fukushima (2003)
3.2737804 5038.478143 5028.7955 -1.9196   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }40955$

Capitaine et al. (2003)
3.27379448 5038.481507 5028.796195 -1.919883   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }406$

Mathews et al. (2002)
3.27379492 5038.478750 5028.7923 -1.9198   $23^{\circ}26'21\hbox{$.\!\!^{\prime\prime}$ }410$


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