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Income Taxes (Details) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Current tax provision [Abstract]    
Federal $ 0 $ 0
State 3,200 800
Foreign 414,000 329,500
Current tax provision 417,200 330,300
Deferred tax (benefit)/provision:    
Federal (1,270,400) 1,159,700
State (26,100) 35,100
Foreign (93,500) (111,300)
Net legislative change in corporate tax rate 0 (5,380,300)
Deferred tax benefit (1,390,000) (4,296,800)
Total income tax benefit (972,800) (3,966,500)
Income tax rate reconciliation [Abstract]    
Income tax provision at statutory federal income tax rate (1,901,400) 1,167,100
State tax (benefit)/provision, net of federal benefit (44,500) 33,100
Non-deductible expenses 647,200 213,500
Non-deductible management and acquisition fees 325,900 0
Net legislative change in corporate tax rate 0 (5,380,200)
Total income tax benefit (972,800) (3,966,500)
Deferred tax assets [Abstract]    
Current and prior year tax losses 4,065,100 3,362,100
Maintenance reserves 3,100,800 2,810,200
Foreign tax credit 611,900 295,800
Deferred interest expense 81,800 0
Deferred maintenance, bad debt allowance and other 92,500 38,800
Alternative minimum tax credit 45,500 45,500
Deferred tax assets 7,997,600 6,552,400
Deferred tax liabilities [Abstract]    
Accumulated depreciation on aircraft and aircraft engines (14,773,800) (14,591,000)
Deferred income (320,600) (495,100)
Favorable Lease (185,400) 0
Net deferred tax liabilities $ (7,282,200) (8,533,700)
Federal tax rate 21.00%  
Current year federal operating loss carryovers $ 19,000,000  
Percentage of annual taxable income that can be offset in future years 80.00%  
Current year federal operating loss carryovers through 2037 $ 16,000,000  
Current year federal operating loss carryovers that may carryforward indefinitely 5,000,000  
Current year state operating loss carryovers 327,000  
Pre-tax income from domestic sources 6,000,000 2,200,000
Pre-tax income from foreign sources 3,100,000 1,200,000
Changes to unrecognized tax benefits during period 0 0
Reconciliation of Unrecognized Tax Benefits [Roll Forward]    
Balance at January 1 0 0
Additions for prior years' tax positions 85,400 0
Balance at December 31 $ 85,400 $ 0