Approximate solutions of non-linear circular orbit relative motion in curvilinear coordinates

DOI10.1007/S10569-016-9716-XzbMath1374.70062OpenAlexW2491440554MaRDI QIDQ1680398

Javier Roa, Claudio Bombardelli, Juan Luis Gonzalo

Publication date: 16 November 2017

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

Full work available at URL: https://doi.org/10.1007/s10569-016-9716-x

zbMATH Keywords

curvilinear coordinatesFourier seriesrelative motionClohessy-Wiltshire solutionquadratic solution

Mathematics Subject Classification ID

Two-body problems (70F05) Orbital mechanics (70M20) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

Сравнение моделей относительного движения группы космических аппаратов ⋮ The theory of asynchronous relative motion. I: Time transformations and nonlinear corrections ⋮ Orbit covariance propagation via quadratic-order state transition matrix in curvilinear coordinates ⋮ Nonlinear analytic solution for perturbed relative motion using differential equinoctial elements ⋮ The circular restricted three-body problem in curvilinear coordinates

Cites Work

• The trajectories of a spaceprobe ejected from a space station in circular orbit
• An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station
• Unnamed Item

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