Period of oscillation
Approximately the duration of state 1 will be related to the time const ant R2C1 as it depends on the charging of C1, and the duration of state 2 will be related to time constant R3C2 as it depends on the charging of C2. Because they need not to be the same, an asymmetric duty cycle is achieved easily.
But, the duration of each state depends also on the initial state of charge of capacitor in the question, and this in turn will depend on the amount of discharge during earlier state, which will also depend on resistors used during the discharge (R1 and R4) and also on the duration of earlier state, etc. The result is that when 1st powered up, the period will be quite long as capacitors are initially fully discharged, but period will quickly shorten and stabilize.
The period will also depend on any current drawn from the output and on the supply voltage.
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