LettreGeorge Howard Darwin à Henri Poincaré, 12 octobre 1901

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3-15-35. George Howard Darwin to H. Poincaré

Oct. 12.01

Newnham Grange–Cambridge

Dear Monsieur Poincaré

I have no doubt you are substantially right,¹¹Poincaré had recently charged Darwin with error (§ 3-15-34). and I cannot now recall the argument which made me think as I did. Is not it at least partially true? At any rate I have made the first calculation of my coeff^ts (other than $\mathfrak{K}_{3}$ ) for $y=75^{\circ}$ , $\kappa=\sin 81^{\circ}5^{\prime}$ and find

\displaystyle\mathfrak{K}^{1}_{3}

\displaystyle=.130

\displaystyle\mathbf{K}^{1}_{3}

\displaystyle=.224

\displaystyle\mathfrak{K}^{2}_{3}

\displaystyle=.460

\displaystyle\mathbf{K}^{2}_{3}

\displaystyle=.465

\displaystyle\mathfrak{K}^{3}_{3}

\displaystyle=.604

\displaystyle\mathbf{K}^{3}_{3}

\displaystyle=.614

I shall go on and compute for $\kappa=\sin 81^{\circ}4^{\prime}$ – for the Jacobian is $\kappa=\sin 81^{\circ}4.4^{\prime}$ . In this way I have an independent calculation & verification.

I have found an error in my calculation of $\mathbf{K}^{1}_{3}$ for $y=69^{\circ}50$ , $\kappa=\sin 73^{\circ}56^{\prime}$ . It sh^d be $.299$ & not $.236$ . This does not disturb the order in which the $K$ ’s are arranged.

If it would be of any help to you I will send you my compⁿ of the critical Jacobian.

Having struggled so much with arithmetic and realised its extreme difficulty, it is a comfort to me to hear you confess yourself a bad calculator.²²See Poincaré to Darwin (§ 3-15-34).

Yours sincerely,

G. H. Darwin

ALS 2p. Collection particulière, Paris 75017.

Métadonnées

Titre: George Howard Darwin à Henri Poincaré, 12 octobre 1901
Incipit: I have no doubt you are substantially right.
Date: 1901-10-12
Expéditeur: Darwin, George Howard (1845-1912)
Destinataire: Poincaré, Henri (1854-1912)
Adresse: Paris
Lieu: Cambridge
Chapitre: George Howard Darwin
Lieu d’archivage: Private collection 75017
Type: fr Lettre autographe signée
Section (dans le livre): 35
Droits: Archives Henri Poincaré
Nombre de pages: 2
Est une partie de: La correspondance entre Henri Poincaré, les astronomes et les géodésiens
Langue: en
Publié sous la référence: Gharnati Ph.D.
Éditeur: Archives Henri Poincaré
Licence: CC BY-ND 4.0

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« George Howard Darwin à Henri Poincaré, 12 Octobre 1901 ». La Correspondance Entre Henri Poincaré, Les Astronomes Et Les géodésiens. Archives Henri Poincaré, s. d, Archives Henri Poincaré, s. d, La correspondance d'Henri Poincaré, consulté le 26 avril 2024, https://henripoincare.fr/s/correspondance/item/10416