Abstract: The growing debris cloud in orbit has caused concern in many countries,the number of space objects which are cataloged has increased by more than 2 times with in 30 years.If they are not cleared actively, the number will grow rapidly in the next 200 years and cause great threat. Uncontrolled fly-around orbit can stay near the target for a long time, provide long time to observe and capture debris. This paper proposed a plan of fly-around orbit,inferred two methods based on C-W equation and orbital elements, and designed an orbit planusing 5 orbit maneuvers aimed at hypothetical target, which fits for any initial position, and has practical value for engineering.