import java.net.*;
import java.io.*;
import javax.net.ssl.*;

import java.util.Properties;
import java.util.*;
import com.Ostermiller.util.Base64;

public class TestHTTPS
{
 public static void main(String [] args)
 {

  try
  {


   URL u=new URL("https://mysslhost:443/my_page.html");
   HttpsURLConnection con = (HttpsURLConnection)u.openConnection();
   con.setRequestProperty("Content-Type","text/xml");

   String user = "user:password";
   String encoding = new String(Base64.encode(new String(user).getBytes()));
   con.setRequestProperty("Authorization", "Basic "+encoding);


   con.connect();

//тут выбрасывается долбаное исключение, 
//javax.net.ssl.SSLHandshakeException: sun.security.validator.ValidatorException:
//No trusted certificate found

   
  }
 catch(Exception e)
  {
   System.out.println(e.toString());
  } 

 }
}