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Adjustment of Previously Reported Financial Information (Details) (USD $)
3 Months Ended 9 Months Ended
Sep. 30, 2014
Sep. 30, 2013
Sep. 30, 2014
Sep. 30, 2013
Dec. 31, 2013
Jan. 31, 2013
Dec. 31, 2012
Balance Sheets [Abstract]              
Cash and cash equivalents $ 2,588,100 $ 5,077,300 $ 2,588,100 $ 5,077,300 $ 2,112,700   $ 1,596,800
Accounts receivable, net 2,726,300   2,726,300   3,303,800    
Finance leases receivable 945,400   945,400   1,895,200    
Aircraft and aircraft engines held for lease, net 159,408,600   159,408,600   152,954,600    
Assets held for sale 6,561,200   6,561,200   735,000    
Prepaid expenses and other 4,296,700   4,296,700   3,633,000    
Total assets 176,526,300   176,526,300   164,634,300    
Accounts payable and accrued expenses 2,239,700   2,239,700   1,202,700    
Notes payable and accrued interest 108,352,400   108,352,400   77,527,300    
Security deposits 5,579,300   5,579,300   6,265,000    
Unearned revenues 2,121,400   2,121,400   646,700    
Deferred income taxes 7,540,700   7,540,700   14,573,800    
Total liabilities 142,189,200   142,189,200   118,499,400    
Preferred stock 0   0   0    
Common stock 1,600   1,600   1,600    
Paid-in capital 14,780,100   14,780,100   14,780,100    
Retained earnings 20,059,500   20,059,500   31,857,300    
Treasury stock (504,100)   (504,100)   (504,100)    
Total stockholders' equity 34,337,100   34,337,100   46,134,900    
Total liabilities and stockholders' equity 176,526,300   176,526,300   164,634,300    
Statement of Operations [Abstract]              
Operating lease revenue, net 4,815,400 4,368,200 15,998,500 13,941,200      
Maintenance reserves income, net 0 6,146,000 3,393,600 13,866,000      
Gain on disposal of assets and other income 1,809,400 1,985,200 2,963,900 4,147,700      
Total Income 6,625,500 12,537,200 22,507,800 32,599,400      
Maintenance 2,173,200 1,413,800 5,819,800 4,883,700      
Depreciation 1,731,500 1,803,600 5,609,900 5,376,600      
Management fees 1,205,000 1,058,400 3,864,900 3,231,000      
Interest 1,225,000 966,200 3,793,000 3,034,300      
Professional fees, general and administrative and other 360,200 256,400 1,488,000 881,000      
Insurance 413,600 276,300 1,034,100 827,900      
Bad debt expense 0 357,600 0 357,600      
Total expenses 19,189,700 6,154,800 40,536,000 18,659,700      
Income before taxes (12,564,200) 6,382,400 (18,028,200) 13,939,700      
Tax provision (4,317,200) 2,361,200 (6,230,400) 4,764,300      
Net (loss)/income (8,247,000) 4,021,200 (11,797,800) 9,175,400      
(Loss)/earnings per share:              
Basic (in dollars per share) $ (5.34) $ 2.61 $ (7.64) $ 5.95      
Diluted (in dollars per share) $ (5.34) $ 2.53 $ (7.64) $ 5.78      
Cumulative net decrease of in stockholders' equity           8,088,200  
As Reported Previously [Member]
             
Balance Sheets [Abstract]              
Cash and cash equivalents         2,112,700    
Accounts receivable, net         3,313,700    
Finance leases receivable         1,895,200    
Aircraft and aircraft engines held for lease, net         152,375,200    
Assets held for sale         735,000    
Prepaid expenses and other         3,633,000    
Total assets         164,064,800    
Accounts payable and accrued expenses         1,175,300    
Notes payable and accrued interest         77,527,300    
Maintenance reserves and accrued maintenance costs         13,254,100    
Security deposits         6,265,000    
Unearned revenues         646,700    
Deferred income taxes         16,099,700    
Total liabilities         114,968,100    
Preferred stock         0    
Common stock         1,600    
Paid-in capital         14,780,100    
Retained earnings         34,819,100    
Treasury stock         (504,100)    
Total stockholders' equity         49,096,700    
Total liabilities and stockholders' equity         164,064,800    
Statement of Operations [Abstract]              
Operating lease revenue, net   4,368,200   13,941,200      
Maintenance reserves income, net   556,900   8,260,500      
Gain on disposal of assets and other income   2,023,000   4,792,200      
Total Income   6,948,100   26,993,900      
Maintenance   2,451,100   6,239,900      
Depreciation   1,790,300   5,339,700      
Management fees   1,054,000   3,218,500      
Interest   966,200   3,034,300      
Professional fees, general and administrative and other   278,900   948,600      
Insurance   276,300   827,900      
Bad debt expense   357,600   357,600      
Total expenses   7,174,400   19,966,500      
Income before taxes   (226,300)   7,027,400      
Tax provision   114,300   2,414,100      
Net (loss)/income   (340,600)   4,613,300      
(Loss)/earnings per share:              
Basic (in dollars per share)   $ (0.22)   $ 2.99      
Diluted (in dollars per share)   $ (0.22)   $ 2.91      
As Adjusted [Member]
             
Balance Sheets [Abstract]              
Cash and cash equivalents         2,112,700    
Accounts receivable, net         3,303,800    
Finance leases receivable         1,895,200    
Aircraft and aircraft engines held for lease, net         152,954,600    
Assets held for sale         735,000    
Prepaid expenses and other         3,633,000    
Total assets         164,634,300    
Accounts payable and accrued expenses         1,202,700    
Notes payable and accrued interest         77,527,300    
Maintenance reserves and accrued maintenance costs         18,283,900    
Security deposits         6,265,000    
Unearned revenues         646,700    
Deferred income taxes         14,573,800    
Total liabilities         118,499,400    
Preferred stock         0    
Common stock         1,600    
Paid-in capital         14,780,100    
Retained earnings         31,857,300    
Treasury stock         (504,100)    
Total stockholders' equity         46,134,900    
Total liabilities and stockholders' equity         164,634,300    
Statement of Operations [Abstract]              
Operating lease revenue, net   4,368,200   13,941,200      
Maintenance reserves income, net   6,146,000   13,866,000      
Gain on disposal of assets and other income   2,023,000   4,792,200      
Total Income   12,537,200   32,599,400      
Maintenance   1,413,800   4,883,700      
Depreciation   1,803,600   5,376,600      
Management fees   1,058,400   3,231,000      
Interest   966,200   3,034,300      
Professional fees, general and administrative and other   278,900   948,600      
Insurance   276,300   827,900      
Bad debt expense   357,600   357,600      
Total expenses   6,154,800   18,659,700      
Income before taxes   6,382,400   13,939,700      
Tax provision   2,361,200   4,764,300      
Net (loss)/income   4,021,200   9,175,400      
(Loss)/earnings per share:              
Basic (in dollars per share)   $ 2.61   $ 5.95      
Diluted (in dollars per share)   $ 2.53   $ 5.78      
Effect of Change [Member]
             
Balance Sheets [Abstract]              
Cash and cash equivalents         0    
Accounts receivable, net         (9,900)    
Finance leases receivable         0    
Aircraft and aircraft engines held for lease, net         579,400    
Assets held for sale         0    
Prepaid expenses and other         0    
Total assets         569,500    
Accounts payable and accrued expenses         27,400    
Notes payable and accrued interest         0    
Maintenance reserves and accrued maintenance costs         5,029,800    
Security deposits         0    
Unearned revenues         0    
Deferred income taxes         (1,525,900)    
Total liabilities         3,531,300    
Preferred stock         0    
Common stock         0    
Paid-in capital         0    
Retained earnings         (2,961,800)    
Treasury stock         0    
Total stockholders' equity         (2,961,800)    
Total liabilities and stockholders' equity         569,500    
Statement of Operations [Abstract]              
Operating lease revenue, net   0   0      
Maintenance reserves income, net   5,589,100   5,605,500      
Gain on disposal of assets and other income   0   0      
Total Income   5,589,100   5,605,500      
Maintenance   (1,037,300)   (1,356,200)      
Depreciation   13,300   36,900      
Management fees   4,400   12,500      
Interest   0   0      
Professional fees, general and administrative and other   0   0      
Insurance   0   0      
Total expenses   (1,019,600)   (1,306,800)      
Income before taxes   6,608,700   6,912,300      
Tax provision   2,246,900   2,350,200      
Net (loss)/income   $ 4,361,800   $ 4,562,100      
(Loss)/earnings per share:              
Basic (in dollars per share)   $ 2.83   $ 2.96      
Diluted (in dollars per share)   $ 2.75   $ 2.87