Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended		6 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital			1.50%
Advisory fees	$ 125,463	$ 127,699	$ 245,686	$ 242,832
Sponsor Fees [Abstract]
Sponsor fees	63,213	65,975	$ 125,057	125,158
Incentive Allocation [Abstract]
Percentage of incentive allocation			20.00%
Incentive allocation	0	673,322	$ (430)	1,351,960
Administrator's Fee [Abstract]
Administrator's fee	10,736	10,593	20,900	20,361
Professional Fees [Abstract]
Professional fees	78,292	55,744	86,091	91,780
Operating Expenses [Abstract]
Operating expenses	$ 5,207	$ 1,725	$ 10,613	$ 1,725
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%