Mathematics
Scientific paper
Nov 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20..389b&link_type=abstract
Celestial Mechanics, vol. 20, Nov. 1979, p. 389-404.
Mathematics
18
Earth-Moon Trajectories, Libration, Orbital Mechanics, Planetary Orbits, Three Body Problem, Three Dimensional Motion, Angular Momentum, Celestial Mechanics, Earth-Moon System, Eigenvalues, Equations Of Motion, Halo Orbit Space Station, Earth-Moon System, Three Body Problem, Halo, Lagrangian Points, Orbits, Data Reduction, Position (Location), Data, Moon, Perturbations, Angular Momentum, Period, Distance, Mathematical Models, Eccentricity, Gravity
Scientific paper
The halo orbits originating in the vicinities of both L1 and L2 grow larger, but shorter in period, as they shift towards the moon. There is in each case a narrow band of stable orbits roughly half-way to the moon. Nearer to the moon, the orbits are fairly well-approximated by an 'almost rectilinear' analysis. The L2 family shrinks in size as it approaches the moon, becoming stable again shortly before penetrating the lunar surface. The L1-family becomes longer and thinner as it approaches the moon, with a second narrow band of stable orbits with perilune, however, below the lunar surface.
Breakwell John V.
Brown V. J.
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