|| LINEAR || APOcritical || align=right data-sort-value="0.49" | 490 m || |-id=671 bgcolor=#C2E0FF | 35671 || || — || September 23, 1998 || Steward Observatory || A. Gleason || other TNO || align=right | 324 km || |-id=672 bgcolor=#C2FFFF | 35672 || || — || October 23, 1998 || Kitt Peak || Spacewatch || L4 || align=right | 18 km || |-id=673 bgcolor=#C2FFFF | 35673 || || — || November 10, 1998 || Socorro || LINEAR || L4 || align=right | 35 km || |-id=674 bgcolor=#fefefe | 35674 || || — || November 14, 1998 || Socorro || LINEAR || H || align=right | 2.0 km || |-id=675 bgcolor=#fefefe | 35675 || || — || December 15, 1998 || Bédoin || P. Antonini || V || align=right | 2.1 km || |-id=676 bgcolor=#E9E9E9 | 35676 || || — || December 14, 1998 || Socorro || LINEAR || EUN || align=right | 5.3 km || |-id=677 bgcolor=#fefefe | 35677 || || — || December 15, 1998 || Socorro || LINEAR || — || align=right | 2.9 km || |-id=678 bgcolor=#fefefe | 35678 || || — || December 11, 1998 || Mérida || O. A. Naranjo || — || align=right | 6.3 km || |-id=679 bgcolor=#fefefe | 35679 || || — || December 17, 1998 || Oizumi || T. Kobayashi || FLO || align=right | 3.2 km || |-id=680 bgcolor=#fefefe | 35680 || || — || January 15, 1999 || Višnjan Observatory || K. Korlević || — || align=right | 1.9 km || |-id=681 bgcolor=#fefefe | 35681 || || — || January 16, 1999 || Nachi-Katsuura || Y. Shimizu, T. Urata || H || align=right | 2.0 km || |-id=682 bgcolor=#fefefe | 35682 || || — || January 18, 1999 || Oizumi || T. Kobayashi || — || align=right | 2.7 km || |-id=683 bgcolor=#fefefe | 35683 || || — || January 21, 1999 || Kleť || Kleť Obs. || — || align=right | 1.9 km || |-id=684 bgcolor=#fefefe | 35684 || || — || January 16, 1999 || Kushiro || S. Ueda, H. Kaneda || — || align=right | 6.1 km || |-id=685 bgcolor=#fefefe | 35685 || || — || January 21, 1999 || Caussols || ODAS || — || align=right | 1.7 km || |-id=686 bgcolor=#fefefe | 35686 || || — || January 16, 1999 || Socorro || LINEAR || — || align=right | 2.3 km || |-id=687 bgcolor=#fefefe |