NDLI: Motion near frozen orbits as a means for mitigating satellite relative drift

Content Provider	Springer Nature Link
Author	Gurfil, P. Lara, M.
Copyright Year	2013
Abstract	Generally, any initially-close satellites—chief and deputy—moving on orbits with slightly different orbital elements, will depart each other on locally unbounded relative trajectories. Thus, constraints on the initial conditions must be imposed to mitigate the chief-deputy mutual departure. In this paper, it is analytically proven that choosing the chief’s orbit to be a frozen orbit can mitigate the natural relative drift of the satellites. Using mean orbital element variations, it is proven that if the chief’s orbit is frozen, then the mean differential eccentricity is periodic, leading to a periodic variation of the differential mean argument of latitude. On the other hand, if the chief’s orbit is non-frozen, a secular growth in the differential mean argument of latitude leads to a concomitant along-track separation of the deputy from the chief, thereby considerably increasing the relative distance evolution over time. Long-term orbital simulation results indicate that the effect of choosing a frozen orbit vis-à-vis a non-frozen orbit can reduce the relative distance drift by hundreds of meters per day.
Starting Page	213
Ending Page	227
Page Count	15
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	116
Issue Number	3
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-05-21
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cluster flight Orbital mechanics Frozen orbits Zonal harmonics Astrophysics and Astroparticles Dynamical Systems and Ergodic Theory Aerospace Technology and Astronautics Geophysics/Geodesy Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science

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