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Long-term Debt (Details) - USD ($)
9 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2019
Jul. 23, 2019
Mar. 31, 2019
Mar. 31, 2015
Debt obligations            
Total debt obligations     $ 662,120,307   $ 710,096,616  
Less: deferred financing fees $ 11,846,890   11,846,890   14,005,830  
Total     650,273,417   696,090,786  
Presented as follows:            
Current portion of long-term debt     63,968,414   63,968,414  
Long-term debt—net of current portion and deferred financing fees     586,305,003   632,122,372  
Total     650,273,417   696,090,786  
Deferred financing fees            
Deferred finance fees, beginning 14,005,830          
Additions 40,547          
Amortization (2,199,487) $ (2,383,918)        
Deferred finance fees, end $ 11,846,890          
Japanese Financings            
Debt obligations            
Total debt obligations     203,025,593   213,476,121  
Corsair Japanese Financing            
Debt obligations            
Total debt obligations     44,958,333   47,395,833  
Concorde Japanese Financing            
Debt obligations            
Total debt obligations     49,538,462   51,961,538  
Corvette Japanese Financing            
Debt obligations            
Total debt obligations     50,076,923   52,500,000  
CJNP Japanese Financing            
Debt obligations            
Total debt obligations     19,420,625   20,506,250  
CMNL Japanese Financing            
Debt obligations            
Total debt obligations     18,418,899   19,446,131  
CNML Japanese Financing            
Debt obligations            
Total debt obligations     20,612,351   21,666,369  
2015 Debt Facility            
Long-Term Debt            
Original loan amount           $ 758,000,000
Minimum interest coverage ratio for following 9 month period (as a percent)       200.00%    
Minimum interest coverage ratio for thereafter (as a percent)       250.00%    
Minimum consolidated liquidity if interest coverage ratio of consolidated EBTDA is less than required       $ 47,500,000    
Debt obligations            
Total debt obligations     459,094,714   496,620,495  
Commercial Financing            
Debt obligations            
Total debt obligations     166,461,402   175,687,613  
KEXIM Direct Financing            
Debt obligations            
Total debt obligations     114,502,131   125,860,144  
KEXIM Guaranteed            
Debt obligations            
Total debt obligations     119,130,446   130,366,568  
K-sure Insured            
Debt obligations            
Total debt obligations     $ 59,000,735   $ 64,706,170