Self-aligning vibration resistant coupling apparatus

A self-aligning coupling apparatus comprising:

• a first connecting element having a body with a first plurality of accessory teeth;
• a second connecting element having a body with a second plurality of accessory teeth;
• an interconnecting coupling joining the first and second element;
• said first plurality of accessory teeth including at least one indexing tooth having an apex angle less than an apex angle of the remaining teeth of the first plurality, the at least one indexing tooth further having a height greater than the remaining teeth of the first plurality;
• said second plurality of accessory teeth equal in number to the first plurality and having an apex angle complementing the apex angle of the remaining teeth of the first plurality and having means intermediate the teeth to receive the at least one indexing tooth upon joining of the first and second element by the interconnecting coupling.