A counterweight could negate the weight of the boat, possibly using water as the weight? Let a little water out to drop the boat, pump a little water in to raise the boat?
...motor that is 230v and draws 7.7amps at 60hz single phase. ... 24vdc preferred?...
You'll need the inrush current to get an idea of the startup surge current the inverter must supply. If you can find a DC motor you'd be better off.
7.7 amps x 240 (assuming USA) = 1848 watts while running. In-rush current might be as high as 80 amps (e.g., 20,000 watt surge on inverter). Look for the LRA on the motor if you already have it.
... runs ...10 minutes at a time... use the lift 1-2 times a day max, pretty much only on the weekends.
2 times a day, thats 4 events (2 up and 2 down) of 10 minutes or 40 minutes total per day.
Since you need 1848 W for 40 minutes, it's 1848 x 40 min (1 h/ 60 min) =1232 wh/d, 2 days for the weekend, so 2464 Wh.
Battery is 24 volts and needs to supply 2464 Wh / 24V = 102 Ah. Lead Acid use a 50% DoD, so 204 Ah. If LiFePO4, 80%, so 128 Ah.
You need a battery big enough to handle the discharge rate (typically 1C), which is 1848 W/24V = 77 amps @ 24V. The battery is over that, so no worries there.
If lead acid, the peukert effect would for high draw would be substantial, so add 20 to 30% or as indicated by the battery's datasheet.
Assuming an 80% round trip efficiency, the solar panels would need to regenerate 2464 / .8 = 3080 Wh over the course of 5 days = 3080 / 5 = 616 W/d. Assuming an
insolation of 4, then 616/ 4 = 154 W array.
... The lights would only be switch activated, so no motion sense, and a maybe total up to 30 watts, not looking for a lot of light, just enough to light up the dock and boat at night. I can see them being on for a few hours at a time during the night at most, again, mostly just during the weekend. thanks in advance!
30 watts x 3 hours (a few?) = 90 watts hours/day, 180 watt hours/weekend, an additional 7.5 Ah @ 24V (15 Ah if Lead Acid). At 80% Round trip efficiency, 225 watt hours of solar needed to replenish.
The additional solar would be 225 watt hours spread over 5 days or 225 / 5 = 45 Wh, at insolation of 4 that's 12 Watts. 12 + 154 = 166 watt array.
Hope that helps!
Update: Don't trust my math ... already corrected two errors! ?