This is a fun idea. The code is a mess though. A lot doesn't work and the parts that do probably don't do what they're supposed to do. Even without strict and warnings, we get-

orbital2.pm did not return a true value.
BEGIN failed--compilation aborted.
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And with-

"my" variable $self masks earlier declaration in same scope at orbital
+2.pm line 38.
Global symbol "$self" requires explicit package name at orbital2.pm li
+ne 10.
Global symbol "$self" requires explicit package name at orbital2.pm li
+ne 12.
Global symbol "$self" requires explicit package name at orbital2.pm li
+ne 21.
Global symbol "$self" requires explicit package name at orbital2.pm li
+ne 22.
Global symbol "$self" requires explicit package name at orbital2.pm li
+ne 32.
Global symbol "$seconds" requires explicit package name at orbital2.pm
+ line 38.
Global symbol "$self" requires explicit package name at orbital2.pm li
+ne 47.
Compilation failed in require.
BEGIN failed--compilation aborted.
[download]

Fun project though. I hope you keep plugging away at it.