Analytic Construction of Periodic Orbits about the Collinear Points
Abstract
A third-order analytical solution for halo-type periodic motion about the collinear points of the circular-restricted problem is presented. The three-dimensional equations of motion are obtained by a Lagrangian formulation. The solution is constructed using the method of successive approximations in conjunction with a technique similar to the Lindstedt-Poincaré method. The theory is applied to the Sun-Earth system.
- Publication:
-
Celestial Mechanics
- Pub Date:
- October 1980
- DOI:
- 10.1007/BF01229511
- Bibcode:
- 1980CeMec..22..241R
- Keywords:
-
- International Sun Earth Explorer 3;
- Lagrangian Equilibrium Points;
- Orbit Calculation;
- Orbital Mechanics;
- Satellite Orbits;
- Collinearity;
- Equations Of Motion;
- Libration;
- Three Dimensional Motion;
- Astronomy