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Long-Term Debt (Condensed) (Details) - USD ($)
6 Months Ended
Jun. 26, 2018
Jun. 25, 2018
Jun. 20, 2018
Jun. 11, 2018
Jun. 04, 2018
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Mar. 31, 2018
Jun. 08, 2017
Mar. 31, 2015
Debt obligations                      
Total debt obligations               $ 742,080,804 $ 775,164,186    
Less: deferred financing fees           $ 16,061,034   15,544,668 16,061,034    
Total               726,536,136 759,103,152    
Presented as follows:                      
Current portion of long-term debt               63,968,414 65,067,569    
Long-term debt—net of current portion and deferred financing fees               662,567,722 694,035,583    
Total               726,536,136 759,103,152    
Deferred financing fees                      
Deferred finance fees, beginning           16,061,034          
Additions           1,080,848          
Amortization           (1,597,214) $ (2,898,375)        
Deferred finance fees, end           $ 15,544,668          
CJNP LPG Transport LLC                      
Long-Term Debt                      
Value of vessel transferred       $ 48,300,000              
Term of Charter Agreement       6 years              
Period until purchase option exercisable       2 years              
Proceeds from sale of vessel       $ 21,700,000              
Deposit retained by buyer       $ 26,600,000              
CMNL LPG Transport LLC                      
Long-Term Debt                      
Value of vessel transferred   $ 45,800,000                  
Term of Charter Agreement   7 years                  
Period until purchase option exercisable   2 years                  
Proceeds from sale of vessel   $ 20,600,000                  
Deposit retained by buyer   $ 25,200,000                  
CNML LPG Transport LLC                      
Long-Term Debt                      
Value of vessel transferred $ 50,800,000                    
Term of Charter Agreement 7 years                    
Period until purchase option exercisable 2 years                    
Proceeds from sale of vessel $ 22,900,000                    
Deposit retained by buyer $ 27,900,000                    
2017 Bridge Loan                      
Long-Term Debt                      
Original loan amount                   $ 97,000,000  
Repayment of debt     $ 44,600,000   $ 22,300,000            
Debt obligations                      
Total debt obligations                 66,940,405    
2017 Bridge Loan | CMNL LPG Transport LLC                      
Long-Term Debt                      
Repayment of debt     21,200,000                
2017 Bridge Loan | CNML LPG Transport LLC                      
Long-Term Debt                      
Repayment of debt     $ 23,400,000                
Japanese Financings                      
Debt obligations                      
Total debt obligations               220,443,121 161,568,910    
Corsair Japanese Financing                      
Debt obligations                      
Total debt obligations               49,020,833 50,645,833    
Concorde Japanese Financing                      
Debt obligations                      
Total debt obligations               53,576,923 55,192,308    
Corvette Japanese Financing                      
Debt obligations                      
Total debt obligations               54,115,385 55,730,769    
CJNP Japanese Financing                      
Long-Term Debt                      
Stated rate (as a percent)       6.00%              
Estimated financing cost to be incurred       $ 100,000              
Monthly brokerage commission (as a percent)       1.25%              
Brokerage commission fee on exercised purchase option excluding buyer deposit (as a percent)       1.00%              
Principal payment frequency       monthly              
Periodic principal payment amount       $ 100,000              
Balloon payment amount       $ 13,000,000              
Debt obligations                      
Total debt obligations               21,230,000      
CMNL Japanese Financing                      
Long-Term Debt                      
Stated rate (as a percent)   6.00%                  
Estimated financing cost to be incurred   $ 100,000                  
Monthly brokerage commission (as a percent)   1.25%                  
Brokerage commission fee on exercised purchase option excluding buyer deposit (as a percent)   1.00%                  
Principal payment frequency   monthly                  
Periodic principal payment amount   $ 100,000                  
Balloon payment amount   $ 11,000,000                  
Debt obligations                      
Total debt obligations               20,130,942      
CNML Japanese Financing                      
Long-Term Debt                      
Stated rate (as a percent) 6.00%                    
Estimated financing cost to be incurred $ 100,000                    
Monthly brokerage commission (as a percent) 1.25%                    
Brokerage commission fee on exercised purchase option excluding buyer deposit (as a percent) 1.00%                    
Principal payment frequency monthly                    
Periodic principal payment amount $ 100,000                    
Balloon payment amount $ 13,000,000                    
Debt obligations                      
Total debt obligations               22,369,038      
2015 Debt Facility                      
Long-Term Debt                      
Original loan amount                     $ 758,000,000
Debt obligations                      
Total debt obligations               521,637,683 546,654,871    
Commercial Financing                      
Debt obligations                      
Total debt obligations               181,838,421 187,989,229    
KEXIM Direct Financing                      
Debt obligations                      
Total debt obligations               133,432,153 141,004,162    
KEXIM Guaranteed                      
Debt obligations                      
Total debt obligations               137,857,316 145,348,064    
K-sure Insured                      
Debt obligations                      
Total debt obligations               $ 68,509,793 $ 72,313,416