JSI Tip 10349. How to troubleshoot SMS Administrator console connectivity?

Microsoft Knowledge Base Article 317872 contains the following introduction:

If you are using SMS and you try to connect to the site server, you may receive a "Connection Failed" message. Or, the nodes may not be displayed after you are connected. Additionally, errors that are similar to the following may be logged in the AdminUI.log file on the server:

Error: Possible UI connection error code is -2147023174 [0x800706ba]

Error: Possible UI connection error code is -2146959355 [0x80080005]

Error: Possible UI connection error code is -2147217394

Error: Possible UI connection error code is -2147217389[0x80041013] Failed to execute method GetProviderVersion! Function GetProviderVersion returns empty string of ProviderVersion. Wbem call failed: T_WbemSyncEnumToContainer_Core, return code: -2147217389 We fail to get the ProviderVersion. SiteCode - SiteServerName , Provider Version : Failed to set the connection. error code: -2147217389

Error(ConnectServer): Possible UI connection error code is -2147024891

Error: Possible UI connection error code is -2147024891 [0x80070005]

This article describes how to troubleshoot a new or an existing SMS Administrator console to determine why it cannot connect to the site server.