Bill,
Here is what I came up with based on specs for my 2003 Honda Odyssey:
GCVWR >> 8,265
subtract curb weight of van >> 4,387
subtract fluids in van >> 142
subtract people in van >> 500
Net Available >> 3,236
So that leaves 3,236 pounds available for the weight of the trailer and any cargo.
I'm not sure the Odyssey is a very good option for towing a TM. The thought of pushing the limit of any tow vehicle with my family riding along scares me.
-Mike
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