This is one of the errors which occurs when you have set up a SharePoint 2007 farm where you applied the index and query roles to different servers.
Microsoft released a knowledge base article describing the problem: You cannot browse to an SSL-secured Office SharePoint Server 2007 site or to the Search Settings page for a Shared Services Provider.
Problem description
In my case I configured a small server farm:

The application server ws acting as the indexing server and the 2 web front-end servers acting as query servers.
After reviewing the event log at the end of the week I discovered an error with event ID 6482:
Event Source: Office SharePoint Server
Event Category: Office Server Shared Services
Event ID: 6482
Description:
Application Server Administration job failed for service instance Microsoft.Office.Server.Search.Administration.SearchServiceInstance (GUID).
Reason:
The underlying connection was closed: An unexpected error occurred on a send.
Technical Support Details:
System.Net.WebException: The underlying connection was closed: An unexpected error occurred on a send. ---> System.IO.IOException: Authentication failed because the remote party has closed the transport stream.
[Please read the knowledge base article for further details.]
This error occurred because I had:
- given my 2 web front-end servers the query role,
- given my application server the index role and
- updated the SharePoint 2007 server farm with Microsoft .NET Framework 3.5 Service Pack 1 (SP1).
The reason for this error is an self-issued certificate used by the Office Server Web Services that is no longer valid.
Solution
In order to solve this problem you need to reissue a new certificate. Please read the article for detailed instructions: You cannot browse to an SSL-secured Office SharePoint Server 2007 site or to the Search Settings page for a Shared Services Provider.