|| || || September 27, 1978 || Nauchnij || L. I. Chernykh || — || align=right | 4.9 km || |-id=796 bgcolor=#fefefe | 5796 Klemm || || || November 7, 1978 || Palomar || E. F. Helin, S. J. Bus || — || align=right | 5.7 km || |-id=797 bgcolor=#FFC2E0 | 5797 Bivoj || 1980 AA || || January 13, 1980 || Kleť || A. Mrkos || AMO || align=right data-sort-value="0.4" | 400 m || |-id=798 bgcolor=#E9E9E9 | 5798 Burnett || || || September 13, 1980 || Palomar || S. J. Bus || — || align=right | 8.6 km || |-id=799 bgcolor=#E9E9E9 | 5799 Brewington || || || October 9, 1980 || Palomar || C. S. Shoemaker || — || align=right | 5.4 km || |-id=800 bgcolor=#d6d6d6 | 5800 Pollock || || || October 16, 1982 || Kleť || A. Mrkos || THM || align=right | 11 km || |} 5801–5900 |-bgcolor=#fefefe | 5801 Vasarely || 1984 BK || || January 26, 1984 || Kleť || A. Mrkos || — || align=right | 13 km || |-id=802 bgcolor=#fefefe | 5802 Casteldelpiano || || || April 27, 1984 || La Silla || V. Zappalà || — || align=right | 4.9 km || |-id=803 bgcolor=#E9E9E9 | 5803 Ötzi || 1984 OA || || July 21, 1984 || Kleť || A. Mrkos || — || align=right | 16 km || |-id=804 bgcolor=#fefefe | 5804 Bambinidipraga || || || September 9, 1985 || Kleť || A. Mrkos || — || align=right | 6.0 km || |-id=805 bgcolor=#E9E9E9 | 5805 Glasgow || 1985 YH || || December 18, 1985 || Anderson Mesa || E. Bowell || EUN || align=right | 9.3 km || |-id=806 bgcolor=#fefefe | 5806 Archieroy || || || January 11, 1986 || Anderson Mesa || E. Bowell || H || align=right | 6.8 km || |-id=807 bgcolor=#d6d6d6 | 5807 Mshatka || || || August 30, 1986 || Nauchnij || L. I. Chernykh || slow || align=right | 13 km || |-id=808 bgcolor=#d6d6d6 | 5808 Babelʹ || || || August 27, 1987 || Nauchnij || L. G. Karachkina || EOS || align=right | 13 km || |-id=809 bgcolor=#d6d6d6 | 5809 Kulibin || || || September 4, 1987 || Nauchnij || L. V. Zhuravleva || — || align=right | 7.8 km || |-id=810 bgcolor=#fefefe | 5810 || 1988 EN || — || March 10, 1988 || Gekko || Y. Oshima || — || align=right