NDLI: Natural and sail-displaced doubly-symmetric Lagrange point orbits for polar coverage

Content Provider	Springer Nature Link
Author	Ceriotti, Matteo McInnes, Colin R.
Copyright Year	2012
Abstract	This paper proposes the use of doubly-symmetric, eight-shaped orbits in the circular restricted three-body problem for continuous coverage of the high-latitude regions of the Earth. These orbits, for a range of amplitudes, spend a large fraction of their period above either pole of the Earth. It is shown that they complement Sun-synchronous polar and highly eccentric Molniya orbits, and present a possible alternative to low thrust pole-sitter orbits. Both natural and solar-sail displaced orbits are considered. Continuation methods are described and used to generate families of these orbits. Starting from ballistic orbits, other families are created either by increasing the sail lightness number, varying the period or changing the sail attitude. Some representative orbits are then chosen to demonstrate the visibility of high-latitude regions throughout the year. A stability analysis is also performed, revealing that the orbits are unstable: it is found that for particular orbits, a solar sail can reduce their instability. A preliminary design of a linear quadratic regulator is presented as a solution to stabilize the system by using the solar sail only. Finally, invariant manifolds are exploited to identify orbits that present the opportunity of a ballistic transfer directly from low Earth orbit.
Starting Page	151
Ending Page	180
Page Count	30
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	114
Issue Number	1-2
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-06-22
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Three-body problem Eight-shaped orbits Solar sailing Polar observation Periodic orbits Visibility analysis Stability Geophysics/Geodesy Aerospace Technology and Astronautics Astrophysics and Astroparticles Dynamical Systems and Ergodic Theory 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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