Rendezvous orbital dynamics and control(RODC) is a key technology for operating space rendezvous and docking missions. This paper surveys the studies on RODC. Firstly,the basic relative dynamics equation set is introduced and its improved versions are evaluated. Secondly,studies on rendezvous trajectory optimization are commented from three aspects: the linear rendezvous,the nonlinear two-body rendezvous,and the perturbed and constrained rendezvous. Thirdly,studies on relative navigation are briefly reviewed,and then close-range control methods including automated control,manual control,and telecontrol are analyzed. Fourthly,advances in rendezvous trajectory safety and robust analysis are surveyed,and their applications in trajectory optimization are discussed. Finally,conclusions are drawn and prospects of studies on RODC are presented. Firstly, the basic relative dynamics equation set is introduced and its improved versions are evaluated. Secondly, studies on rendezvous trajectory optimization are commented from three aspects: the linear rendezvous, the nonlinear two-body rendezvous, and the perturbed and constrained rendezvous. Thirdly, studies on relative navigation are briefly reviewed, and then close-range control methods including automated control, manual control, Fourthly, advances in rendezvous trajectory safety and robust analysis are surveyed, and their applications in trajectory optimization are discussed. Finally, conclusions are drawn and prospects of studies on RODC are presented.