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A number of missions have recently been proposed that aim to take advantage of the growing scientific interest in the region of space near libration points in the Sun-Earth system. In support of missions that include increasingly complex trajectories and incorporate libration point orbits, more efficient techniques and new philosophies for design must be considered.
The NRHO used as the staging orbit for crewed missions to the lunar surface by the HLS remains nearly perpendicular to the Earth-Moon line of sight, however, due to the libration of the Moon the location of the South Pole is ever shifting beneath it. DTE communication as well as ground illumination conditions near the South Pole coincide with lunar libration, with approximately 2-week cycles of DTE communication and solar availability. Additionally, the constant shifting of the South Pole region with respect to the NRHO leads to variations in the nominal HLS approach path to the surface in order to maintain near in-plane alignment of the NRHO, LLO, and approach phase. Making adjustments to the nominal approach path to achieve desired communication and lighting conditions quickly raises in-space ∆V. This analysis compares the ∆V impact of several trajectory strategies that could be used to alter the HLS approach path.
The NRHO used as the staging orbit for crewed missions to the lunar surface by the HLS remains nearly perpendicular to the Earth-Moon line of sight, however, due to the libration of the Moon the location of the South Pole is ever shifting beneath it. DTE communication as well as ground illumination conditions near the South Pole coincide with lunar libration, with approximately 2-week cycles of DTE communication and solar availability. Additionally, the constant shifting of the South Pole region with respect to the NRHO leads to variations in the nominal HLS approach path to the surface in order to maintain near in-plane alignment of the NRHO, LLO, and approach phase. Making adjustments to the nominal approach path to achieve desired communication and lighting conditions quickly raises in-space ΔV. This analysis compares the ΔV impact of several trajectory strategies that could be used to alter the HLS approach path.
NASA’s Artemis program plans to use a 9:2 resonant southward Near-Rectilinear Halo Orbit (NRHO) at the Earth-Moon’s L2 libration point to stage assets for a sustained lunar exploration campaign. This architecture includes the use of the Gateway space station positioned in this orbit. While the proximity operations in the NRHO are similar to field-free space dynamics, the far-field rendezvous aspect of the problem is more complicated. We analyze the key drivers of the ΔV performance of the far-field rendezvous problem from low lunar orbit to the Gateway. We find that lunar latitudinal libration is a driving factor to ΔV performance for surface ascent missions that rendezvous with the NRHO, and that transfer time from low lunar orbit to NRHO affects more aspects of the geometry and performance than expected from rendezvous in Keplerian orbits.
Isolating blocks and isolating neighborhoods have previously been used to compute periodic and quasiperiodic orbits around the collinear libration points in the circular restricted three-body problem. Isolating neighborhoods may be used to further explore the boundary between the Lissajous and quasihalo orbits at en- ergies where the halo orbits have bifurcated from the Lyapunov orbits. A method to compute trajectories that are forward and backward asymptotic to the libration point invariant set using very small velocity corrections is developed here. The method is then used to compute representative trajectories within this region and characterize their behavior.
Spectrum of lightning in the venus atmosphere. problems of selenodetic photogrammetry. drawings of lunar limb areas. topocentric librations.
Critical inclination of close earth satellites for case of asymmetrical potential of main body and small eccentricity - peculiar libration
Lunar flight handbook - orbital departure windows, libration points, and lunar flight orbit estimation, theory, and operations
Short period orbit calculations around equilateral libration points in plane restricted three-body problem
Equilateral triangle solution of three-body problem for Apollo Earth-Moon libration point missions
Material elasticity effects on planar librational motion of rigid satellite under action of gravity gradients
Earth-satellite orbits in resonance with tesseral perturbation, and motion near earth-moon libration point
Applied mathematics in celestial mechanics - theory of librational motions, earth shape, and satellite orbit calculations
Derivation of explicit equations governing deformations of self-gravitating viscous bodies in external force field for application to physical librations of moon
Periodic solutions of elliptical and restricted four-body problems about libration points of restricted three-body problem
Oscillating libration orbits with period rigorously commensurable in rational fraction to basic long period
Librational and flexural resonances induced in satellite whose center of mass is moving in planar elliptic orbit
Nonlinear resonance effect on attitude librations of undamped rigid gravity gradient stabilized satellite in circular Earth orbit