Articolo in rivista, 2021, ENG, 10.1016/j.actaastro.2020.11.047
E. M. Alessi, A. Buzzoni, J. Daquin, A. Carbognani, and G. Tommei
IMATI-CNR, Istituto di Matematica Applicata e Tecnologie Informatiche "E. Magenes", Via Alfonso Corti 12, 20133 Milano, Italy; IFAC-CNR, Istituto di Fisica Applicata "N. Carrara", Via Madonna del Piano 10, 50019 Sesto Fiorentino (FI), Italy; INAF-OAS, Osservatorio di Astrofisica e Scienza dello Spazio, Via P. Gobetti 93/3, 40129 Bologna, Italy; naXys, Department of Mathematics, University of Namur, 8 rempart de la Vierge, 5000 Namur, Belgium; Università di Pisa, Dipartimento di Matematica, Largo B. Pontecorvo 5, 56127 Pisa, Italy
The aim of this work is to analyze the orbital evolution of the mean eccentricity given by the Two-Line Elements (TLE) set of the Molniya satellites constellation. The approach is bottom-up, aiming at a synergy between the observed dynamics and the mathematical modeling. Being the focus the long-term evolution of the eccentricity, the dynamical model adopted is a doubly-averaged formulation of the third-body perturbation due to Sun and Moon, coupled with the oblateness effect on the orientation of the satellite. The numerical evolution of the eccentricity, obtained by a two-degree-of-freedom time dependent model assuming different orders in the series expansion of the third-body effect, is compared against the mean evolution given by the TLE. The results show that, despite being highly elliptical orbits, the second order expansion catches extremely well the behavior. Also, the lunisolar effect turns out to be non-negligible for the behavior of the longitude of the ascending node and the argument of pericenter. Finally, a frequency series analysis is proposed to show the main contributions that can be detected from the observational data.
Acta astronautica 179 , pp. 659–669
Molniya, Eccentricity evolution, Highly elliptical orbits, Third-body perturbation, Space situational awareness
IFAC – Istituto di fisica applicata "Nello Carrara", IMATI – Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes"
ID: 438567
Year: 2021
Type: Articolo in rivista
Creation: 2020-12-09 13:57:20.000
Last update: 2022-02-02 18:07:44.000
CNR authors
External links
OAI-PMH: Dublin Core
OAI-PMH: Mods
OAI-PMH: RDF
DOI: 10.1016/j.actaastro.2020.11.047
URL: https://www.sciencedirect.com/science/article/abs/pii/S0094576520307244
External IDs
CNR OAI-PMH: oai:it.cnr:prodotti:438567
DOI: 10.1016/j.actaastro.2020.11.047
ISI Web of Science (WOS): WOS:000604254600060
Scopus: 2-s2.0-85097587253