naa a22 4500 510774393 CHVBK 20180411083225.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s40295-015-0033-5 doi (NATIONALLICENCE)springer-10.1007/s40295-015-0033-5 Deprit's Elimination of the Parallax Revisited [Elektronische Daten] [Juan San-Juan, David Ortigosa, Luis López-Ochoa, Rosario López] An extension of Deprit's elimination of the parallax is proposed. This extension takes advantage of the flexibility of the Lie-Deprit method, when the inverse of the Lie operator is applied in order to calculate the generating function of this Lie transform. We have found that, under certain conditions, a function 𝓕 n $\mathcal {F}_{n}$ , belonging to the null space of the Lie operator, can be added to the generating function of the transform at each order, so that the argument of the perigee, and therefore the argument of latitude, can be fully removed in the zonal case of the artificial satellite problem. American Astronautical Society, 2015 Elimination of the parallax nationallicence Artificial satellite theory nationallicence Lie-Deprit method nationallicence San-Juan Juan Department of Mathemtics and Computer Science, GRUCACI, University of La Rioja, Logroño, Spain aut Ortigosa David Department of Mathemtics and Computer Science, University of La Rioja, Logroño, Spain aut López-Ochoa Luis Department of Mechanical Engineering, University of La Rioja, Logroño, Spain aut López Rosario Center for Biomedical Research of La Rioja (CIBIR), GRUCACI, University of La Rioja, Logroño, Spain aut The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/2(2013-06-01), 137-148 0021-9142 60:2<137 2013 60 40295 https://doi.org/10.1007/s40295-015-0033-5 text/html Onlinezugriff via DOI 1 brief-communication jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s40295-015-0033-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- San-Juan Juan Department of Mathemtics and Computer Science, GRUCACI, University of La Rioja, Logroño, Spain aut NATIONALLICENCE 700 1- Ortigosa David Department of Mathemtics and Computer Science, University of La Rioja, Logroño, Spain aut NATIONALLICENCE 700 1- López-Ochoa Luis Department of Mechanical Engineering, University of La Rioja, Logroño, Spain aut NATIONALLICENCE 700 1- López Rosario Center for Biomedical Research of La Rioja (CIBIR), GRUCACI, University of La Rioja, Logroño, Spain aut NATIONALLICENCE 773 0- The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/2(2013-06-01), 137-148 0021-9142 60:2<137 2013 60 40295 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer