The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Linearized Dynamics of Formation Flying Spacecraft on a J2-Perturbed Elliptical Orbit
Abstract
A linearized set of equations of relative motion about a J 2 -perturbed elliptical reference orbit is developed. This model uses analytical relations that are well suited for onboard applications. The inclusion of the J 2 perturbation in a simple analytical model can lead to formation flying guidance and control algorithms that make use of the natural J 2 -induced relative motion to perform maneuvers instead of constantly compensating for this perturbation. The model uses the linearized differential drift rate of mean orbit elements to predict the impact of the J 2 perturbation on relative osculating spacecraft motion. It analytically provides the relative motion in Hill coordinates at any given true anomaly using only the initial osculating relative orbit elements and the initial orbit elements of the reference trajectory. A linear time-varying state-space form of the model is also presented. Simulation results show that relative motion prediction remains accurate over several orbits.
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“Notably, perturbation models can be easily accommodated in the filter dynamics in the latter case [58,59,60].”
From Review of the robustness and applicability of monocular pose estimation systems for relative navigation with an uncooperative spacecraft (2019) · cites this paper as [58]
Citations
Cites
Analytical Mechanics Of Space Systems
Schaub, H., & Junkins, J. L. (2003) · American Institute of Aeronautics and Astronautics eBooks · doi:10.2514/4.861550 · Cited by 1,580
Fundamentals of Astrodynamics and Applications
Vallado, D. (1997) · Cited by 1,543
Bate, R. R., Mueller, D. D., & White, J. E. (1971) · Cited by 1,255
Solution of the problem of artificial satellite theory without drag
Brouwer, D. (1959) · The Astronomical Journal · doi:10.1086/107958 · Cited by 860
Relative Dynamics and Control of Spacecraft Formations in Eccentric Orbits
İnalhan, G., Tillerson, M., & How, J. P. (2002) · Journal of Guidance Control and Dynamics · doi:10.2514/2.4874 · Cited by 443
State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit
Gim, D.-W., & Alfriend, K. T. (2003) · Journal of Guidance Control and Dynamics · doi:10.2514/2.6924 · Cited by 392
High-Fidelity Linearized J Model for Satellite Formation Flight
Schweighart, S. A., & Sedwick, R. J. (2002) · Journal of Guidance Control and Dynamics · doi:10.2514/2.4986 · Cited by 373
Satellite Formation Flying Design and Evolution
Sabol, C., Burns, R., & McLaughlin, C. A. (2001) · Journal of Spacecraft and Rockets · doi:10.2514/2.3681 · Cited by 370
J2 Invariant Relative Orbits for Spacecraft Formations
Schaub, H., & Alfriend, K. T. (2001) · Celestial Mechanics and Dynamical Astronomy · doi:10.1023/a:1011161811472 · Cited by 347
Time-Explicit Representation of Relative Motion Between Elliptical Orbits
Melton, R. G. (2000) · Journal of Guidance Control and Dynamics · doi:10.2514/2.4605 · Cited by 236
Research works printed but not linked: 1
- Lovell T. A., 2003, 13th AAS/AIAA Space Flight Mechanics Conference
Cited by
Sorted by citations
Pasqualetto Cassinis, L., Fonod, R., & Gill, E. (2019) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2019.05.008 · Cited by 156
Metadata
- Authors
- Hamel, J.-F., & de Lafontaine, J.
- Affiliations
- Université de Sherbrooke (CA)
- Université de Sherbrooke, Sherbrooke, Quebec J1K 2R1, Canada
- Venue
- Journal of Guidance Control and Dynamics
- Published
- 2007-11
- Volume
- 30
- Issue
- 6
- Pages
- 1649-1658
- ISSN
- 0731-5090 (ISSN-L)
- 1533-3884
- OpenAlex
- W2158869043
- Cited by
- 67
- References
- 16
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 1 · 2023: 3 · 2021: 5 · 2020: 5 · 2019: 2 · 2018: 4 · 2017: 1 · 2016: 3 · 2015: 3 · 2014: 2 · 2013: 4 · 2012: 7
- FWCI
- 12.10
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Guidance Control and Dynamics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Spacecraft Dynamics and Control
- Physical Sciences › Engineering › Aerospace Engineering › Space Satellite Systems and Control
- Physical Sciences › Engineering › Aerospace Engineering › Spacecraft Design and Technology
- Keywords
- formation flying, J2 perturbation, eccentric orbits, spacecraft guidance and control
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