Russian Offensive Campaign Assessment, September 9
https://www.understandingwar.org/backgrounder/russian-offensive-campaign-assessment-september-9
Five key points from the Institute for the Study of War are excerpted below, but they go into much greater depth in the actual article linked above. They post updates daily, and since good news regarding the Ukrainian counter offensive has been in the media the last couple of days, I figured I'd post this here to give them some visibility. They are really a great resource.
Ukrainian forces have captured an estimated 2,500 square kilometers in Kharkiv Oblast in the Kharkiv area counteroffensive as of September 9.
Ukrainian forces may collapse Russian positions around Izyum if they sever Russian ground lines of communication (GLOCs) north and south of Izyum.
The Kremlin is rushing resources to the Kharkiv City-Izyum line in an attempt to halt Ukrainian advances after Ukrainian forces achieved remarkable operational surprise.
The Kremlin is refusing to publicly address Ukrainian successes in Kharkiv Oblast, but the counteroffensive likely prompted Russian President Vladimir Putin to convene a meeting with top Russian security and political officials on September 9.[7]
Ukraines counteroffensive operation in Kherson Oblast to degrade Russian forces on the Southern Axis is continuing simultaneously with Ukrainian operations on the Kharkiv City-Izyum line.