Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended
	Mar. 31, 2023	Mar. 31, 2022
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital	1.50%
Advisory fees	$ 120,223	$ 115,133
Sponsor Fees [Abstract]
Sponsor fees	$ 61,844	59,183
Incentive Allocation [Abstract]
Percentage of incentive allocation	20.00%
Incentive allocation	$ (430)	678,638
Administrator's Fee [Abstract]
Administrator's fee	10,164	9,768
Professional Fees [Abstract]
Professional fees	7,799	36,036
Operating Expenses [Abstract]
Operating expenses	$ 5,406	$ 0
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%