An Introduction to the Study of Variable Stars

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The next step is to improve these approximate determina- tions by employing all the other maxima, and there are six more which are satisfactory enough to be of use. While it will be found that the elements are not materially altered, the proc- ess will be carried out in full, since in the case of other stars this preliminary calculation may not give a sufficiently accu- rate result. Before introducing the numerical values, the equation will be developed according to which the corrections to the... approximate elements may be determined. MEAN LIGHT CURVE 189 Let TQ and P be the approximate elements, T and P be the improved elements, n stand for the number of a maximum in the entire series, counting from T Q, for which n = 1, dT and dP stand for the differences T - T and P P, i. E. , the differences between the approxi- mate elements and the improved elements. Then the two equations may be formed (1) TQ + nP = computed maximum, (2) (T + dT) + n(P + dP) = observed maximum. Representing the observed and computed maxima by the symbols and C, and subtracting the first equation from the second, we have the resulting equation (3) dT + ndP = 0- C.

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