Indirect effect of the triaxiality in the Hamiltonian theory for the rigid Earth nutations
Dpto. de Matemática Aplicada, Escuela Politécnica Superior, Universidad de Alicante, 03080 Alicante, Spain
2 Grupo de Mecánica Celeste, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain
Corresponding author: A. Escapa, Alberto.Escapa@ua.es
Accepted: 30 April 2002
In this investigation we determine a new contribution to the nutation series due to an indirect effect of the triaxiality of the rigid Earth. We undertake this work in the context of the Hamiltonian theory for the rigid Earth, developed by Kinoshita ([CITE]) and recently updated by Souchay et al. ([CITE]). To do this, we express the potential energy in terms of the action–angle variables for the triaxial Earth. Then, we work out analytical formulae for the new contributions, showing that their numerical values are within the truncation level adopted by REN–2000 (Souchay et al. [CITE]), which was fixed to as.
Key words: celestial mechanics
© ESO, 2002