The `Halo' family of 3dimensional periodic orbits in the EarthMoon restricted 3body problem
Abstract
The Halo orbits originating in the vicinities of both,L _{1} andL _{2} grow larger, but shorter in period, as they shift towards the Moon. There is in each case a narrow band of stable orbits roughly halfway to the Moon. Nearer to the Moon, the orbits are fairly wellapproximated by an ‘almost rectilinear’ analysis. TheL _{2} family shrinks in size as it approaches the Moon, becoming stable again shortly before penetrating the lunar surface. TheL _{1}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.
 Publication:

Celestial Mechanics
 Pub Date:
 November 1979
 DOI:
 10.1007/BF01230405
 Bibcode:
 1979CeMec..20..389B
 Keywords:

 EarthMoon Trajectories;
 Libration;
 Orbital Mechanics;
 Planetary Orbits;
 Three Body Problem;
 Three Dimensional Motion;
 Angular Momentum;
 Celestial Mechanics;
 EarthMoon System;
 Eigenvalues;
 Equations Of Motion;
 Halo Orbit Space Station;
 EARTHMOON SYSTEM;
 THREE BODY PROBLEM;
 HALO;
 LAGRANGIAN POINTS;
 ORBITS;
 DATA REDUCTION;
 POSITION (LOCATION);
 DATA;
 MOON;
 PERTURBATIONS;
 ANGULAR MOMENTUM;
 PERIOD;
 DISTANCE;
 MATHEMATICAL MODELS;
 ECCENTRICITY;
 GRAVITY;
 Astronomy; Moon