Op amp analysis question
Looks like a Phase Shift oscillator to me. Here is almost the exact same circuit (from here):

 

It does as it's name suggests, uses a series of RC filters to shift the phase and create positive feedback.    

Here's an LTspice (crude, no gain control) circuit and simulation:



Simulation:



With values shown in question

I could not get the circuit to oscillate using the exact values, a change to the gain resistor was needed, from 56.2k&Omega; to 5.62k&Omega; (less than ~40k&Omega;):



Simulation:



I have a feeling that somewhere in the reverse engineering an order of magnitude type mistake has been made with one of the values. For a frequency this low I would use buffer amplifiers in between phase shift stages (to get rid of the issues caused by the loading effects of the cascaded filters)
I'd be interested to know what the circuit came from, might help give a clue or two to the desired frequency/amplitude.