Analysis of \(J_2\)-perturbed motion using mean non-osculating orbital elements

DOI10.1007/s10569-004-0890-xzbMath1147.70309OpenAlexW2119742772MaRDI QIDQ1766280

Pini Gurfil

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1007/s10569-004-0890-x

zbMATH Keywords

Keplerian motionLagrange's equationsoblatenessorbital mechanicsosculating elementsaveraged systemsecular and long periodic perturbations

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (6)

Planetary orbital equations in externally-perturbed systems: position and velocity-dependent forces ⋮ Comparative study of Mercury's perihelion advance ⋮ Delaunay variables approach to the elimination of the perigee in artificial satellite theory ⋮ Modifications of the method of variation of parameters ⋮ Gauge theory for finite-dimensional dynamical systems ⋮ Improved initialization conditions and single impulsive maneuvers for \(J_2\)-invariant relative orbits

Cites Work

• Gauge symmetry of the N-body problem in the Hamilton–Jacobi approach
• Gauge freedom in theN-body problem of celestial mechanics
• The method of variation of constants and multiple time scales in orbital mechanics
• \(J_2\) invariant relative orbits for spacecraft formations

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