The Secular Variations of the Elements of the Orbits of the Four Inner Planets: Computed for the Epoch 1850; 0, G. M. T (Classic Reprint) - Tapa dura

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Excerpt from The Secular Variations of the Elements of the Orbits of the Four Inner Planets: Computed for the Epoch 1850; 0, G. M. T

The integral methods, founded upon the celebrated theorem of are wholly free from this latter disadvantage, for if it is desired to include all terms to the twenty fourth order this can be done by a computation which is less than twice as long as that required when the approximation is stopped at terms of the eleventh order. But the integral method, though thus extremely accurate, leads only to the numerical values of the variations dependent upon the values of the elements assumed; if they are desired for some other epoch at which the various elements possess different values from those adopted, or if an improved value of any of the elements becomes known, they can only be found by an entire repetition of the computation.

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