Says manuscript [Mechanism of the Heavens] cannot be improved materially except perhaps on one or two small points. Will look at it again when it is together in a whole. Announces birth of JH's daughter [Caroline] that morning.
Says manuscript [Mechanism of the Heavens] cannot be improved materially except perhaps on one or two small points. Will look at it again when it is together in a whole. Announces birth of JH's daughter [Caroline] that morning.
Offers congratulations on arrival of JH's first child. Thanks him for communicating his thoughts on her manuscript [Mechanism of the Heavens] at such a time.
Sending back part of manuscript [Mechanism of the Heavens] for criticism. Hopes Mrs. Herschel and baby are well.
Will bring her manuscript [Mechanism of the Heavens]. Apologizes for holding it so long. Critiques various passages concerning permanent rotation and equations of stability. Sends condolences on Dr. Somerville's loss.
Sends a method of estimating the variations in the elements of orbits during the perturbations in longitude and distance. Used it in manuscript when examining Saturn and Jupiter.
Wants to use method of indeterminate coefficients to integrate the differential equations of the planets' perturbations. [Originally written to W. Fairfax.]
Needs advice on integrating equations. Praises JH's book [Prelim. Discourse]. Says James Mackintosh and [Henry] Hallam also praise it. Note from William Somerville, which needs a reply, is enclosed.
Explains to MS P. S. Laplace's method of indeterminate coefficients in mathematics. Thanks MS for her praise of his book [Prelim. Discourse], which JH values more highly than newspaper reviews.
Sends preliminary observations that will be prefixed to her book [Mechanism of the Heavens]. Wants JH to make any criticisms of it before it is published.
Returns proofs and sends a few remarks concerning them. Discusses difficulty of measuring Eta Coronae. Anxious to see her [Mechanism of the Heavens]. Has another daughter [Isabella].
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