An analytical solution of the Lagrange equations valid also for very low eccentricities: influence of a central potential

DOI10.1007/S10569-005-1473-1zbMath1145.70014OpenAlexW2032003666MaRDI QIDQ817660

Gilles Métris, Florent Deleflie, Pierre Exertier

Publication date: 17 March 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-005-1473-1

zbMATH Keywords

spherical harmonicsartificial satellitesanalytic integrationeccentricity vectorshort and long period termszero eccentricities

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (2)

Resonant dynamics of medium Earth orbits: space debris issues ⋮ Position and velocity perturbations for the determination of geopotential from space geodetic measurements

Cites Work

• Long-period variations of the eccentricity vector valid also for near circular orbits around a non-spherical body
• Nonsingular elements in description of the motion of small eccentricity and inclination satellites
• The geopotential in nonsingular orbital elements
• The equations of motion of an artificial satellite in nonsingular variables

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