Hi,
I have the same problem on my boat, it comes from the prop gland.
I have a 100 Amp AGM battery, Lifeline brand, that I charge with a 20 watt I think, Solar Panel, and feed this via the !2 volt Socket in the Accessories circuit. the battery seems ok even in winter.
It seems to do a good job and I have Two other 80 Amp hour AGm Lifelines on board as spares that we charge up now and then.
THe boat has one for starting, one for house and one for the Winch, and I am wiring in a Ring Feed Circuit with welding thickness cables, to feed high current to the bow where the battery for the anchor winch underdeck.motor .
That way I can take a feed circuit off the main ring feed anywhere along the ring with minimal voltage drop.
I think with solar panels now only about 3$ Aus per watt, and a good solar controller about $ 200 at 30 amps with a cool readout guage, A few 80 watt or higher panels would allow easy recharging without worrying about over charging and would allow bigger batteries if you wanted later, for things like lighting and a TV. http://www.trademe.co.nz/Trade-Me-Motors/Caravans-motorhomes/Parts-accessories/Solar-panels-accessories/photos/a-498089826/p-202641772.htm
Has a picture of a neat looking controller.Another brand Morning Star ones are supposed to be the best ones though I think.
When sizing battery capacity and panels always go for as much as you can afford and add as you can, it makes not worrying about leaving gear on long great.
I leave the radar on all the whole trip for fun and training. It helps to take a few photos of the radar display at differing settings, while in the mooring, and print them and laminate the photos to place beside the radar for handy referance in fog or dark to know what it should look like, A few all around photos on a clear day printed and laminated are also great for bearings and matching to the radar.
Having a remote activated solar powered light on your own mooring is neat too !.