Apache is a Open Source Foundation for development of Various projects.Jakarta is one of their project under which they have developed tomcat servlet container.
So in all tomcat is a project pf Apache Foundation. Just go through this pdf on link :
Jakarta (named after the place in Indonesia) was a grouping of Apache foundation projects in Java. It helped organize things, since the Apache group is most famous for its http web server, which has no java in it at all.
Over the years, certain Jakarta projects became so big in their own right that they dropped the Jakarta name. But I think even to this day, you can find tomcat under the jakarta.apache.org/tomcat URL in addition to the tomcat.apache.org one.
An IDE is no substitute for an Intelligent Developer.