抄録
This paper analyzes the behavior of an interplanetary dust particle on a horseshoe orbit by solving equations of the circular restricted three-body problem (CR3BP) analytically to predict the distribution of dust particles around the Earth’s orbit, because in previous research numerical simulation showed that dust particles trapped on a horseshoe orbit contributes a number density of dust particles around the Earth’s orbit. An analytical solution is obtained by coordinate transformation and linearization of external forces on the assumption that a horseshoe orbit is an oscillation centered at Lagrange point L3. This paper describes properties of the horseshoe solution and also shows that the analytical solution of the CR3BP is consistent with that of numerical integration.