Gene,
Your battery is a 90 amp-hr capacity unit, so it should be "float" charged at a rate of C/20 or a bit less...this means that a 4.5 amp charge or less is preferred once the battery is fully charged to keep it from loosing too much electrolyte when it is in 'storage' over the winter. It is best to have a well regulated float charger to ensure the electrolyte loss is not significant. Many good solar charging systems have this feature. The unit you are using should suffice.
How is it connected? When in storage, all the trailer battery powered systems should be disconnected, with the possible exception of the smoke/carbon monoxide detector... I would definitely disconnect your RV's "normal" power distribution unit from the battery you are storing and attempting to float charge.
Chuck
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2007 Tour Master T40C
Acura MDX toad
"It takes a great deal of time to recover from any improvement..."
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