TY - JOUR

T1 - On controllability region of orbital motion near L1

AU - Shmyrov, A.

AU - Shmyrov, V.

PY - 2015

Y1 - 2015

N2 - In this paper we consider controlled orbital motion in a neighborhoodof first collinear libration point L1 of Earth-Sun system. Circularrestricted three-body problem is used as a mathematical model.Also, we use nonlinear Hill’s equations and linearized equations for localdescription of orbital motion in a neighborhood of L1. We considerspecial formulation of controlled motion and we present family of controls,which save hamiltonian form of equations of motion. With helpof Hamiltonian we give the estimation of controllability region and ofthe charge of necessary control influence.

AB - In this paper we consider controlled orbital motion in a neighborhoodof first collinear libration point L1 of Earth-Sun system. Circularrestricted three-body problem is used as a mathematical model.Also, we use nonlinear Hill’s equations and linearized equations for localdescription of orbital motion in a neighborhood of L1. We considerspecial formulation of controlled motion and we present family of controls,which save hamiltonian form of equations of motion. With helpof Hamiltonian we give the estimation of controllability region and ofthe charge of necessary control influence.

U2 - 10.12988/ams.2015.510638

DO - 10.12988/ams.2015.510638

M3 - Article

VL - 9

SP - 7229

EP - 7236

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 145

ER -