From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: X-Spam-Checker-Version: SpamAssassin 3.4.2 (2018-09-13) on inbox.vuxu.org X-Spam-Level: X-Spam-Status: No, score=-0.8 required=5.0 tests=DKIM_INVALID,DKIM_SIGNED, MAILING_LIST_MULTI,RCVD_IN_DNSWL_NONE autolearn=ham autolearn_force=no version=3.4.2 Received: from minnie.tuhs.org (minnie.tuhs.org [45.79.103.53]) by inbox.vuxu.org (OpenSMTPD) with ESMTP id 55e36256 for ; Fri, 18 Oct 2019 22:05:42 +0000 (UTC) Received: by minnie.tuhs.org (Postfix, from userid 112) id C65B89B8A8; Sat, 19 Oct 2019 08:05:40 +1000 (AEST) Received: from minnie.tuhs.org (localhost [127.0.0.1]) by minnie.tuhs.org (Postfix) with ESMTP id 780F09B57F; Sat, 19 Oct 2019 08:05:15 +1000 (AEST) Authentication-Results: minnie.tuhs.org; dkim=fail reason="signature verification failed" (2048-bit key; unprotected) header.d=google.com header.i=@google.com header.b="On0Xm11P"; dkim-atps=neutral Received: by minnie.tuhs.org (Postfix, from userid 112) id 6C0039B57F; Sat, 19 Oct 2019 08:05:12 +1000 (AEST) Received: from mail-oi1-f174.google.com (mail-oi1-f174.google.com [209.85.167.174]) by minnie.tuhs.org (Postfix) with ESMTPS id 04C629B553 for ; Sat, 19 Oct 2019 08:05:12 +1000 (AEST) Received: by mail-oi1-f174.google.com with SMTP id i16so6497640oie.4 for ; Fri, 18 Oct 2019 15:05:11 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=20161025; h=mime-version:references:in-reply-to:from:date:message-id:subject:to :cc:content-transfer-encoding; bh=5W2ruQ4I6cmm8TU5iv5AA5dQVmkfiYUfl74rHMr1o0I=; b=On0Xm11PYhsbpqm1goZOdwD2uwLIgeG0qZq9+Hz56A0Prj5jVKvz3Dc9d953nJDYNH WoG7onaRrZZ66x9Ns4frsxbTzOEA232CzsFQuG4R3AFDru4bXF0rzKh8ApupV8mMVB4A nKH5cM0EOtsMmIOF2F/+izd7GEQ6WWhd6XIF5Az1PaVqgKA0cV6KjUMg5wGU/fQtppMp sehoLU101Ayje0SbTGm93mLLlGmZwEIMuZFMd+6niaireNipFnJDuoSt+bHydenGkmhE /zsUnV1ogETjwVcstymZNIVRE+RE/l3V0RLHId6HJZejOBs9hMiA4GeYQlh9t15cY+Sp kOKg== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20161025; h=x-gm-message-state:mime-version:references:in-reply-to:from:date :message-id:subject:to:cc:content-transfer-encoding; bh=5W2ruQ4I6cmm8TU5iv5AA5dQVmkfiYUfl74rHMr1o0I=; b=uVKBgR66N/YPDOMRrf9NYZG4BQ19A0I1RLjLC7mU9ovApkH+XLB2r7D/PTOA0jrFHh uQIZbklCTKv45j+yx6WDQxl2Kx6d4GQGHukwO6lOZSpvNHoEmaicEEufHgMxECSQKj3j u/UDa2t7UZYsySIIMLhiXu9NF2be5oEsclwXv9iaCtjIzlsSrz+EPT/8t4KdMfne+4m5 xHMrQXYgiByG2GNVBwcjERgi4WBGs8ZMUx3dBEeJP1dUlynswC/A77bvyo6Td8xdH76Q 8anrV3+belSxDdoY/AzH0wHQPLTxRS8ylz2nuqB6XYJhW5UpGqRmzov/bqnqJPbaf1U1 o7lg== X-Gm-Message-State: APjAAAUyj2l+wWe9gIuhNxDcbL93apT6QwKK/ITYtOXOVp7xmKQXdbEs JaaZnmpFHYMHABA8eGgLGZm0oFWm07HHVJi26H+zKw== X-Google-Smtp-Source: APXvYqxHR1pywdwUzVXYXX3gDzWhpVpYj6sjoPBJjqup46SEg5ZUy7Kepkp8mqLaWfEtoN8Iwv3IVV5BxjB4vUbs91w= X-Received: by 2002:a05:6808:186:: with SMTP id w6mr9642502oic.80.1571436310971; Fri, 18 Oct 2019 15:05:10 -0700 (PDT) MIME-Version: 1.0 References: <201910181152.x9IBq95P001809@coolidge.cs.Dartmouth.EDU> <20191018183610.diq_a%steffen@sdaoden.eu> In-Reply-To: Date: Fri, 18 Oct 2019 15:04:59 -0700 Message-ID: To: SPC Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Subject: Re: [TUHS] Space Travel, was New: The Earliest UNIX Code X-BeenThere: tuhs@minnie.tuhs.org X-Mailman-Version: 2.1.26 Precedence: list List-Id: The Unix Heritage Society mailing list List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , From: Ken Thompson via TUHS Reply-To: Ken Thompson Cc: The Eunuchs Hysterical Society Errors-To: tuhs-bounces@minnie.tuhs.org Sender: "TUHS" while writing "space travel," i could not get the space ship integration around a planet to keep from either gaining or losing energy due to floating point errors. i asked dick hamming if he could help. after a couple hours, he came back with a formula. i tried it and it worked perfectly. it was some weird simple double integration that self corrected for fp round off. as near as i can ascertain, the formula was never published and no one i have asked (including me) has been able to recreate it. i look forward to the OCR of the code. On Fri, Oct 18, 2019 at 1:20 PM SPC wrote: > > Well, It appears that CHM has published an article about "Space Travel" c= ode... > > https://computerhistory.org/blog/the-earliest-unix-code-an-anniversary-so= urce-code-release/ > > Cordiales saludos / Kind Regards. > > Gracias | Regards - Saludos | Greetings | Freundliche Gr=C3=BC=C3=9Fe | S= alutations > -- > Sergio Pedraja > --