http://wolfstone.halloweenhost.com/TechBase/com555_555TimerCalc.htmlThe top 555 timer schematic can handle the navigational lights with an on time of just over 50% and an off time a little under. I plugged into the calculator a value of 470 ohms for resistor-1 and 30,000 ohms for R2 with a 47 uFd capacitor and got just about an even split for on and off times for the LEDs of about 1 second each.
The bottom schematic and calculator can be used for the strobes as it adds a diode to by-pass R2 during charging, allowing a smaller on time and larger off time. With R-1 at 3,000 ohms and R-2 at 20,000 ohms with a 47 uFd capacitor, you get a 1/10 of a second flash on time and an off time of .65 seconds, adding to a cycle time of 3/4 of a second which is what I read somewhere for the TMP strobe cycle.