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Fees and Related Party Transactions (Details) - USD ($)
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Advisory Fees [Abstract]    
Advisory fees at annual rate of the Members' Capital 1.50%  
Advisory fees $ 422,597 $ 424,019
Sponsor Fees [Abstract]    
Sponsor Fees $ 222,799 224,152
Incentive Allocation [Abstract]    
Percentage of incentive allocation 20.00%  
Incentive allocation $ 536,800 0
Administrator's Fee [Abstract]    
Administrator's fees $ 36,437 $ 36,865
Class 0 Units [Member]    
Sponsor Fees [Abstract]    
Sponsor fees at annual rate of the Members' Capital 0.50%  
Class 2 Units [Member]    
Sponsor Fees [Abstract]    
Sponsor fees at annual rate of the Members' Capital 1.25%