We present results derived from the first multi-chord stellar occultation by the trans-Neptunian object ( 229762 ) 2007 UK _ { 126 } , observed on 2014 November 15 .
The event was observed by the Research and Education Collaborative Occultation Network ( RECON ) project and International Occultation Timing Association ( IOTA ) collaborators throughout the United States .
Use of two different data analysis methods obtain a satisfactory fit to seven chords , yelding an elliptical fit to the chords with an equatorial radius of R = 338 _ { -10 } ^ { +15 } km and equivalent radius of R _ { eq } = 319 _ { -7 } ^ { +14 } km .
A circular fit also gives a radius of R = 324 _ { -23 } ^ { +30 } km .
Assuming that the object is a Maclaurin spheroid with indeterminate aspect angle , and using two published absolute magnitudes for the body , we derive possible ranges for geometric albedo between p _ { V } = 0.159 _ { -0.013 } ^ { +0.007 } and p _ { R } = 0.189 _ { -0.015 } ^ { +0.009 } , and for the body oblateness between \epsilon = 0.105 _ { -0.040 } ^ { +0.050 } and \epsilon = 0.118 _ { -0.048 } ^ { +0.055 } .
For a nominal rotational period of 11.05 h , an upper limit for density of \rho = 1740 kg m ^ { -3 } is estimated for the body .