0 ▁in ▁magnitude ▁( ). ▁In ▁addition ▁astronom ers ▁at ▁the ▁Pal om ar ▁Trans ient ▁Factory ▁found ▁a ▁period ▁of ▁ 4 . 0 9 6 ▁hours ▁with ▁an ▁amplitude ▁of ▁ 0 . 2 8 ▁om ▁May ▁ 2 0 1 1 ▁( ), ▁and ▁French ▁amateur ▁astronom er ▁René ▁Roy ▁obtained ▁a ▁period ▁of ▁ 8 . 1 9 2 2 ▁hours ▁( tw ice ▁the ▁period ▁solution ) ▁with ▁an ▁amplitude ▁of ▁ 0 . 3 6 ▁( ). ▁ ▁Pol es ▁▁ ▁In ▁ 2 0 1 6 , ▁an ▁international ▁study ▁mode led ▁a ▁light cur ve ▁with ▁a ▁conc urr ing ▁period ▁of ▁ ▁hours ▁and ▁found ▁two ▁spin ▁axes ▁of ▁( 2 6 9 . 0 ° , ▁− 3 1 . 0 ° ) ▁and ▁( 1 0 3 . 0 ° , ▁− 5 9 . 0 ° ) ▁in ▁e cli ptic ▁coordinates ▁( λ ,   β ) ▁( ). ▁ ▁Diam eter ▁and ▁al bed o ▁▁ ▁According ▁to ▁the ▁survey ▁carried ▁out ▁by ▁the ▁NE OW I SE ▁mission ▁of ▁NASA ' s ▁W ide - field ▁Inf ra red ▁Survey ▁Explorer , ▁Val div ia ▁measures ▁between ▁ 9 . 1 3 ▁and ▁ 1 1 . 6 7 9 ▁kilom eters ▁in ▁diameter ▁and ▁its ▁surface ▁has ▁an ▁al bed o ▁between ▁ 0 . 2 0 5 ▁and ▁ 0 . 4 0 4 , ▁while ▁the ▁Japanese ▁Ak ari ▁satellite ▁found ▁an ▁al bed o