Hi oompa_1,
Cool drawing, btw...
Are your concentric circles grouped together? If so, follow these steps:
1. Select the group
2. Go to: Format > Behavior > Placement Tab
3. Select: Placement Behavior = Do not layout and route around in the drop-down list
Nothing will glue to your group now (!!!)
4. Sub-select the black circle (select group, then click again on black dot)
5. Go to: Format > Behavior > Placement Tab again
6. Select: Placement Behavior = Layout and route around in the drop-down list
You've now specified that connectors should only glue to the sub-shape
7. Phew! Exhale!
Hope this works for you!