[2] Kunigunde is a core member of the Themis family (602), when applying the hierarchical clustering method to its proper orbital elements.

[5][11] In March 2018, a rotational light curve of Kunigunde was obtained from photometric observations by French amateur astronomer René Roy.

[9] Richard Ditteon at the Oakley Southern Sky Observatory (E09) determined a period of 8.82±0.02 with an amplitude of 0.30±0.05 magnitude (U=2).

[15] Photometry by Angeli and Guimarães at observatories in Brazil and Argentina gave a similar period of 8.80 hours (U=2).

[10] In 2013, an international study modeled a light curve with a sidereal period of 8.82653 hours and found two spin axes at (47.0°, 57.0°) and (234.0°, 50.0°) in ecliptic coordinates (λ, β) (U=n.a.).

[6][7][8] The Collaborative Asteroid Lightcurve Link derives an albedo of 0.0792 and a diameter of 39.29 kilometers based on an absolute magnitude of 10.4.