To fully take advantage of running JDK Mission Control in your Eclipse IDE, you need to run Eclipse on a JDK installation.
Attaching to locally running JVMs will only work if you're running with a JDK.

Follow the instructions below to run on a HotSpot JDK.

The easiest way to change the JVM on which to start Eclipse is by modifying the eclipse.ini file. You can also set the -vm on the command line used to start Eclipse. In windows you would typically do that in the shortcut you use to launch Eclipse. Here is an example ini file:

-showsplash
org.eclipse.platform
-vm
D:/java/jdk7_40/jre/bin/

You can also configure JVM options by using -vmargs on commandline or eclipse.ini:

-showsplash
org.eclipse.platform
-vm
D:/java/jdk8_131/jre/bin/
-vmargs
<JVM options on separate lines>

If you use JDK 9 (or later) to run Eclipse, the following JVM options are needed for JDK Mission Control to work properly:

-Djdk.attach.allowAttachSelf=true
--add-exports=java.xml/com.sun.org.apache.xerces.internal.parsers=ALL-UNNAMED
--add-exports=jdk.internal.jvmstat/sun.jvmstat.monitor=ALL-UNNAMED
--add-exports=java.management/sun.management=ALL-UNNAMED
--add-exports=java.management/sun.management.counter.perf=ALL-UNNAMED
--add-exports=jdk.management.agent/jdk.internal.agent=ALL-UNNAMED
--add-exports=jdk.attach/sun.tools.attach=ALL-UNNAMED
--add-opens=java.base/java.net=ALL-UNNAMED
--add-opens=jdk.attach/sun.tools.attach=ALL-UNNAMED

If running on Windows, also add:

--add-exports=java.desktop/sun.awt.windows=ALL-UNNAMED

If running on Mac OS, also add:

--add-exports=java.desktop/sun.lwawt.macosx=ALL-UNNAMED

If running on Linux, also add:

--add-exports=java.desktop/sun.awt.X11=ALL-UNNAMED