Title :
On the existence of periodic orbits in the CR3BP
Author :
Zhang, W. ; Gao, F.B. ; Zhang, J.H.
Author_Institution :
Coll. of Mech. Eng., Beijing Univ. of Technol., Beijing, China
Abstract :
In the case of the circular restricted three-body problem (CR3BP), the existence of periodic orbits is strictly proved for the firstand third-order time dependent approximate system in the inertial frame. Moreover, the expression of periodic orbits for the first order nonautonomous system of CR3BP is presented analytically, which makes a difference for the known results obtained by semi-analytical and semi-numerical methods in the rotating frame.
Keywords :
N-body problems; celestial mechanics; numerical analysis; CR3BP; circular restricted three-body problem; first-order nonautonomous system; first-order time dependent approximate system; inertial frame; periodic orbits; rotating frame; semianalytical method; seminumerical method; third-order time dependent approximate system; Approximation methods; Differential equations; Educational institutions; Electronic mail; Equations; Mechanical engineering; Orbits;
Conference_Titel :
Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
Conference_Location :
Hohhot
Print_ISBN :
978-1-4244-9436-1
DOI :
10.1109/MACE.2011.5988786
