Computing natural transfers between Sun–Earth and Earth–Moon Lissajous libration point orbits

A Methodology for the Computation of Constrained Orbits and its Application to the Design of Solar System Trajectories

“…This two-parameter family of solutions imposes less constraints to the mission designer than the widely used halo orbits, essentially because the in-plane and the out-of-plane amplitudes can be chosen independently one from the other. As a further advantage, the eclipse/occultation avoidance problem can be solved [16,17] in a non expensive way. Their practical application has been proved in the Sun-Earth framework by several missions, to cite some, the very recent Herschel-Planck and Gaia, both designed on orbits around L 2 .…”

“…10 Relative configuration between Earth-Moon and Sun-Earth coupled CR3BPs defined by Canalias [3,4] to compute initial seeds for heteroclinic connections. The Sun is the big yellow dot, Earth and Moon are both represented in black, but with different sizes Refined heteroclinic connections between Earth-Moon and Sun-Earth coupled systems (black) together with the initial guess (red).…”

“…We consider the refinement of different kinds of trajectories: Lissajous quasi-periodic orbits, either in the Sun-Earth or in the Earth-Moon systems, transfer orbits connecting a Low Earth Orbit (LEO) with a Lissajous orbit in the Earth-Moon system [2] and of heteroclinic orbits connecting two coupled CR3BPs. In this case, we use the trajectories computed by Canalias [3,4], which link Earth-Moon LPOs with Sun-Earth LPOs.…”

Sun–Earth $$L_{1}$$ L 1 and $$L_{2}$$ L 2 to Moon transfers exploiting natural dynamics

“…For instance, the methodology has been employed in the study of multi-moon tours Lantoine et al 2011;Campagnola and Russell 2011) and in the context of the CR3BP Gómez et al 2001;Marsden and Ross 2006;Canalias and Masdemont 2008;Fantino et al 2010). e defnition and equations of motion of the CR3BP (seion 2.1), its equilibrium points (seion 2.2), the fow near these equilibrium points (seion 2.3), and the method of conneing two CR3BPs (seion 2.4) provide the background theory from existing literature on which the subsequent seions (use of the survival maps and the design of the transfers) rely.…”

“…is methodology has been used in the past to study trajeories between the Sun-Earth libration points and the vicinity of the Earth and Moon, where a conneion is made using the unstable manifold fowing from the Sun-Earth libration point (within the Sun-Earth CR3BP) and the stable manifold fowing towards the Moon L2 point (within the Earth-Moon CR3BP) at low ∆v cost. Examples include the work done by ; Gómez et al (2001); Canalias and Masdemont (2008);and Fantino et al (2010).…”