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Fair Value Measurements (Details) - USD ($)
Sep. 30, 2019
Dec. 31, 2018
Liabilities    
Restricted cash $ 29,600,000 $ 11,000,000
Recurring    
Assets    
Cash and cash equivalents 101,123,450 78,163,638
Recurring | Level 1    
Assets    
Cash and cash equivalents 101,123,450 78,163,638
Recurring | Level 2    
Assets    
Cash and cash equivalents 0 0
Recurring | Norwegian Bond Debt Facility    
Liabilities    
Debt instrument 187,509,565 190,469,155
Recurring | Norwegian Bond Debt Facility | Level 1    
Liabilities    
Debt instrument 0 0
Recurring | Norwegian Bond Debt Facility | Level 2    
Liabilities    
Debt instrument 192,240,000 195,040,000
Recurring | New First Lien Facility    
Liabilities    
Debt instrument 140,392,735 58,939,307
Recurring | New First Lien Facility | Level 1    
Liabilities    
Debt instrument 0 0
Recurring | New First Lien Facility | Level 2    
Liabilities    
Debt instrument 143,342,658 60,000,000
Recurring | Convertible Bond Debt    
Liabilities    
Debt instrument 91,924,874  
Recurring | Convertible Bond Debt | Level 2    
Liabilities    
Debt instrument $ 120,111,300  
Recurring | Ultraco Debt Facility    
Liabilities    
Debt instrument   81,351,115
Recurring | Ultraco Debt Facility | Level 1    
Liabilities    
Debt instrument   0
Recurring | Ultraco Debt Facility | Level 2    
Liabilities    
Debt instrument   $ 82,600,000