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Derivative Instruments and Fair Value Measurements - Schedule of Fair Value Measurements (Details) - USD ($)
Sep. 30, 2018
Dec. 31, 2017
Liabilities    
Non-current restricted cash $ 10,907,592 $ 74,917
Recurring    
Assets    
Cash and cash equivalents 91,644,657 56,325,961
Short-term investment   4,500,000
Recurring | Level 1    
Assets    
Cash and cash equivalents 91,644,657 56,325,961
Short-term investment   0
Recurring | Level 2    
Assets    
Cash and cash equivalents 0 0
Short-term investment   4,500,000
Recurring | Norwegian Bond Debt Facility    
Liabilities    
Debt instrument 194,702,844 193,950,329
Recurring | Norwegian Bond Debt Facility | Level 1    
Liabilities    
Debt instrument 0 0
Recurring | Norwegian Bond Debt Facility | Level 2    
Liabilities    
Debt instrument 206,100,000 200,990,000
Recurring | New First Lien Facility    
Liabilities    
Debt instrument 58,871,447 63,758,185
Recurring | New First Lien Facility | Level 1    
Liabilities    
Debt instrument 0 0
Recurring | New First Lien Facility | Level 2    
Liabilities    
Debt instrument 60,000,000 65,000,000
Recurring | Ultraco Debt Facility    
Liabilities    
Debt instrument 68,700,906 59,975,162
Recurring | Ultraco Debt Facility | Level 1    
Liabilities    
Debt instrument 0 0
Recurring | Ultraco Debt Facility | Level 2    
Liabilities    
Debt instrument $ 69,800,000 $ 61,200,000