Lectures On the Lunar Theory

Cover Lectures On the Lunar Theory
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LECTURES THE LUNAR THEORY - 1900 - PREFACE. - THE following lectures were collected from manuscripts left by the late Professor J. G. Adatns, and are now reprinted without change froin his Collected Scientific Papers, Vol. XI., pp. 1-84. It was thought that the wide interest attaching to the lunar problem reached many besides the professed astronomer, and would justify a separate publication of this short work. It is known that Adams contemplated the publication of some such essay himself, and it must be a matter of regret to - a11 that he never did so. No pains have been spared to present the material properly, but it is unavoidable that it should appear from the hands of an editor in a less perfect form than if the author had issued it himself. Yet, allowing for this disadvantage, I think those best qualified t, o judge will consider this work fully worthy of Adamss great name. Of current elementary theories it may be said that they leave off where the difficulties of the subject beg

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in, that is to say, where the various cases of slow convergence have been exposed, but not dealt with. It is perhaps not too much to say that these lectures carry us to th6 point where such difficulties end, in an adequate evaluation of all the chief constants. They leave the probIem effectively solved and not merely stated, and shew the path clear for the formation of a detailed theory, if that is desired. R. A. SAMPSON. DURHAM. 8 October, 1900. -- CONTENTS. -- v. VI. VII. VIII. IX. S. XI. 111. SIII. HISTORICA S L K ETCH . . ACCEI, ERATIO O N F T HE 1100s RELATIVE TO THE EARTH. THl, SUNS COOHI INAT S IS TERJIS OF THE TIJIE . THE VARIATIO-U . THE VARIAT O N c o t i n . d THE VARIATIOS c o t t i e d . CORRE TIO OE N P R O S I J I A S T O I UTIO . S S THE PARAI, LAC I T N IC E QUAL . I TY . . THE P ARA I ACTIIIN E QU. LITY 0tLtilb1 e l . THE A N S E Q L U A IOX . THE EQIJATIO O N F THE CESTRE AND THE EVECLIOS . THE EVECTIO A X SD THE MOTION O F r - APSE . r I 7 HE L O T I O S OF THE AP E A , SD THE CHASGE O Y SEIL ECCESTRICITT . THE LATITUDE AS D THE IOTIO OF N T H. S ODF . RIOTIOX IN AN ORBIT OF ANT INCLINATION . IOTIO IN N A N ORHIT O F ASY SCT. TTATIOS conti ed . ON HILLS M ETHOD OF TREATING THE LUNART HF ORT . OS HILT. IE rHoI OF IREATINi THE T, us, R THEOR Y P o . LECTURES THE LUNAR THEORY. LECTURE o S n the Lunar Theory were given by Adams from 1860 with few intermissions nntil 1889. Originally their aim was to illustrate geometrically the analytical processes and thereby render them more comprehensible, and they included some elegant theorems on the geometry of conics which have since become common property but every year several lectures were rewritten, and thus the whole fabric gradually changed into the form in which it is here presented,-the form, practically, in which he gave them last. Perhaps it is s zperfluous to say that these Lectures stand upon a different footing to treatises that are intended to form the basis of Tables. With such, co npletenessi s the first object and manner of presentation is secondary. Immense as is the labour of forming a treatise of this description, there exist several that leave little to desire in respect to fulness of detail...

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Lectures On the Lunar Theory
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