▁( see ▁below ). ▁ ▁Rot ation ▁period ▁▁ ▁Since ▁ 2 0 0 6 , ▁three ▁rot ational ▁light cur ves ▁of ▁S aga ▁were ▁obtained ▁from ▁phot ometric ▁observations ▁by ▁French ▁amateur ▁astronom ers ▁Laurent ▁Bern as con i ▁and ▁René ▁Roy , ▁as ▁well ▁as ▁by ▁astronom ers ▁at ▁the ▁Pal om ar ▁Trans ient ▁Factory ▁in ▁California . ▁Light cur ve ▁analysis ▁gave ▁a ▁rotation ▁period ▁between ▁ 9 . 2 7 8 ▁and ▁ 9 . 3 9 4 ▁hours ▁with ▁a ▁bright ness ▁amplitude ▁of ▁ 0 . 2 5 ▁to ▁ 0 . 3 3 ▁magnitude ▁( ). ▁ ▁Diam eter ▁and ▁al bed o ▁▁ ▁According ▁to ▁the ▁surve ys ▁carried ▁out ▁by ▁the ▁Inf ra red ▁Astronom ical ▁Sat ellite ▁IR AS , ▁the ▁Japanese ▁Ak ari ▁satellite ▁and ▁the ▁NE OW I SE ▁mission ▁of ▁NASA ' s ▁W ide - field ▁Inf ra red ▁Survey ▁Explorer , ▁S aga ▁measures ▁between ▁ 2 6 . 2 9 ▁and ▁ 3 8 . 1 1 3 ▁kilom eters ▁in ▁diameter ▁and ▁its ▁surface ▁has ▁an ▁al bed o ▁between ▁ 0 . 0 6 4 0 ▁and ▁ 0 . 1 4 7 . ▁ ▁The ▁Coll abor ative ▁Ast ero id ▁Light cur ve ▁Link ▁der ives ▁an ▁al bed o ▁of ▁ 0 . 1 1 9 9 ▁and ▁adopt s ▁a ▁diameter ▁of ▁ 2 9 . 1 1 ▁kilom eters ▁from ▁IR AS ▁with ▁an ▁absolute ▁magnitude ▁of ▁