The Past Earth's Rotation

We have proposed a model to obtain the length of the day and month at any geologic time. The day is found to increase by 0.002 sec/century since the seventeenth century. The lengthening of the day is attributed entirely to the increasing gravitational constant ($G$) with time that manifested its self in tidal forces. The data obtained are consistent with those found from Palaeontology. The length of the day 4500 million years ago was 6 hours and the synodic month was 56.26 present epoch days.