Bounded motion design in the Earth zonal problem using differential algebra based normal form methods

DOI10.1007/s10569-020-9953-xzbMath1443.70055OpenAlexW3010524802MaRDI QIDQ2004685

A. Weisskopf, Roberto Armellin, Martin Berz

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-020-9953-x

zbMATH Keywords

bounded motiondifferential algebranormal form methodszonal problem

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Uses Software

• Cosy

Cites Work

• Application of high order expansions of two-point boundary value problems to astrodynamics
• Gravity assist space pruning based on differential algebra
• Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization
• Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting
• Numerical integration of periodic orbits in the main problem of artificial satellite theory
• Improved initialization conditions and single impulsive maneuvers for \(J_2\)-invariant relative orbits
• Long-term passive distance-bounded relative motion in the presence of \(J_2\) perturbations
• Bounded relative motion under zonal harmonics perturbations
• E/I-vector separation for safe switching of the GRACE formation
• \(J_2\) invariant relative orbits for spacecraft formations
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