Lissajous trajectories for lunar global positioning and communication systems |
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Authors: | Daniele Romagnoli Christian Circi |
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Institution: | 1.DLR Institute of Space Systems,Bremen,Germany;2.Scuola di Ingegneria Aerospaziale,University of Rome “La Sapienza”,Rome,Italy |
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Abstract: | This work proposes a Lunar Global Positioning System (LGPS) and a Lunar Global Communication System (LGCS) using two constellations
of satellites on Lissajous trajectories around the collinear L
1 and L
2 libration points in the Earth–Moon system. This solution is compared against a Walker constellation around the Moon similar
to the one used for the Global Positioning System (GPS) on the Earth to evaluate the main differences between the two cases
and the advantages of adopting the Lissajous constellations. The problem is first studied using the Circular Restricted Three
Body Problem to find out its main features. The study is then repeated with higher fidelity using a four-body model and higher-order
reference trajectories to simulate the Earth-Moon-spacecraft dynamics more accurately. The LGPS performance is evaluated for
both on-ground and in-flight users, and a visibility study for the LGCS is used to check that communication between opposite
sides of the Moon is possible. The total ΔV required for the transfer trajectories from the Earth to the constellations and the trajectory control is calculated. Finally,
the estimated propellant consumption and the total number of satellites for the Walker constellation and the Lissajous constellations
is used as a performance index to compare the two proposed solutions. |
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Keywords: | |
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