then C = v. If we substitute this value for C into the previous equations, then:
,
Thus we have
VII
If this value for is substituted into equations (VI), we obtain:
.
If we multiply this equations by 2dr, then:
,
and if we integrate again,
,
where D is a constant magnitude, that depends on the constant magnitudes which are contained in the equation. From this equation that is found now, the time can be eliminated, hence:
,
If we substitute this value for dt into equation (VII), then we obtain:
,
To integrate this equations, we bring it into the form: