Force Click On An Accordion Index (section)

I want to bind a click event to a selector which when clicked will open up a given part within an accordion. In the example below I want a link with an id of show-part1 to open up the first section of an accordion. My accordion has four sections. Consequently there are four 'accordion_trigger_index' classes with an index value from 0 to 3.

The code below triggers but it just kicks me to the top of the page and then back again, as if the $('.accordion_trigger_index').click(function(){}); is firing albeit not interpreting the index value.

The accordion works fine when clicked on directly. The error must concerning forced a click event while passing the index of which accordion_trigger_index class I want it to trigger (open).

Code JavaScript:
<script>
$('#show-part1').bind('click', function() {
$('.accordion_trigger_index').trigger('click').index(0);

[Code]....