Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital			1.50%
Advisory fees	$ 137,783	$ 126,730	$ 383,469	$ 369,562
Sponsor Fees [Abstract]
Sponsor fees	68,596	66,399	$ 193,653	191,557
Incentive Allocation [Abstract]
Percentage of incentive allocation			20.00%
Incentive allocation	377,471	449,740	$ 377,041	1,801,700
Administrator's Fee [Abstract]
Administrator's fee	11,594	10,613	32,494	30,974
Professional Fees [Abstract]
Professional fees	58,279	54,594	144,370	146,374
Operating Expenses [Abstract]
Operating expenses	$ 5,347	$ 5,944	$ 15,960	$ 7,669
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%