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Vessels and other fixed assets, net: (Tables)
6 Months Ended
Jun. 30, 2020
Property, Plant and Equipment [Abstract]  
Vessels and other fixed assets, net (Table)

    Cost   Accumulated depreciation   Net Book Value
Balance, December 31, 2019 $ 3,410,923 $ (445,396) $ 2,965,527
- Acquisitions, improvements and other vessel costs    44,388   —    44,388
- Depreciation for the period   —    (69,958)   (69,958)
Balance, June 30, 2020 $ 3,455,311 $ (515,354) $ 2,939,957