Απολογιστική = actuality

Απολογισμός = account, report, review

I therefore conclude that απολογιστικό φύλλο in this case must refer to the ship’s logsheet or ship’s log book (which is frequently maintained in loose leaf form, i.e., sheets filed together in a loose leaf folder) because one of the main the purposes of a ship’s log book is to record all of the events occurring on the journeys the ship takes.

See:

http://www.wordsense.eu/logsheet/ (logsheet (pl. logsheets = A sheet on which the entries of a log are written)

http://www.oxforddictionaries.com/definition/english/actuali...

http://www.oxforddictionaries.com/definition/english/log

http://www.thefreedictionary.com/log

1 Μαρ 2010 - What this means is that, while ship size is important, crew quality is at least ... Damage, as it occurs, is recorded on the affected ship's log sheet, ...
http://mapandcounters.blogspot.gr/2010_03_01_archive.html

I suspect this also means less load on our server. .... of the Company's safety management and quality system every ship's log sheet is checked ...
http://archive.oneguyfrombarlick.co.uk/www.oneguyfrombarlick...


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Note added at 20 hrs (2014-02-04 18:34:00 GMT)
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Alternatively, you could say 'voyage's log sheet', but the main thing is that 'απολογιστικό φύλλο' in this instance is 'log sheet'.