Satellite Power Supply
The puddle around the electrolytic capacitor looks like glue. This is fairly common in automated assembly to glue down large components before wave soldering.
The ticking sound is one of two causes. Either the supply is going into shutdown because there is no load. Or the supply is going into shutdown due to an overcurrent condition. Does the ticking sound also exist when hooked to the rest of the circuit? If so, then its probably and overcurrent condition. If the ticking only occurs with the supply disconnected, then it is a no load overvoltage shutdown. You will have to provide a minimum load to get the power supply to run on the bench.
The load can be regular old power resistors. Usually, you just need a load on the supply section that is being tightly regulated. My guess would be the 3.3V section.
With the power supply disconnected and the power off, I would suggest measuring the resistance with an ohmmeter across all the electrolytics. If any capacitor shows an incircuit resistance of less than 200 ohms, unsolder it to determine whether it is the capacitor or a diode that is at fault.
Capacitors that fail often give some visual clues. The cases become swollen. (If the swelling is extreme, they may vent. The pattern on the top of the capacitor that looks like a pie cut into thirds, is on purpose to make them vent out the top rather than the side or bottom.) They ooze out the electrolyte. They overheat and their plastic wrapper changes color. Inspect all the capacitors for any that look different than the others. If one or more capacitors look different in color, shape, etc it is possible that its the bad one.
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Also, open capacitors can be checked out of circuit using a battery and a resistor to form an RC circuit. Place a voltmeter across the capacitor and then charge it through a resistor. Use a large value resistor and note the amount of time required to charge. You can compare this to a known good capacitor of similar value to get an estimate of the suspect capacitor's value. This gives a quick check before purchasing replacement capacitors. Electrolytic capacitors have large tolerances and most circuits work fine with capacitors that are slightly above or below the value on the label. Therefore, you are looking for gross errors. Failed capacitors will either be shorted, or have a value less than 50% of the label.