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天文學 1543

《天體運行論》

尼古拉·哥白尼

地球只是一顆普通行星,繞著居中的太陽運轉。

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In depth · the introduction

十四個世紀以來,地球一直靜止在萬物的中心。一位謹慎的波蘭教士,做了那件不可思議的事——他讓地球動了起來。

核心想法

地球並不特殊。它是一顆和別的行星一樣的行星——每天自轉一圈,每年繞太陽一圈。坐在中心的是太陽,而非地球;眾行星則按各自繞行一周所需的時間,依次排開。

一旦接受這一點,一個古老的謎團就化解了。隔一陣子,某顆行星會像是停下來,在星空裡向後漂移幾個星期,然後又轉回向前。它並不是真的在倒退。只是我們大家都在繞太陽飛奔,而我們正從它旁邊超車——或被它超過。

它是如何誕生的

哥白尼是波蘭弗龍堡大教堂的一位詠禮司鐸(canon),在偷來的閒暇裡做天文學。這套體系他很早就想通了——一份簡短的手稿《要釋》(Commentariolus)約在 1514 年流傳——可他隨後壓了幾十年,怕招來譏笑。一位年輕的路德派數學家雷蒂庫斯找上門來,把這部大書勸進了印刷所。

書在紐倫堡付印時,一位名叫奧西安德爾的編者,悄悄加了一篇不具名的序言,堅稱會動的地球只是一種數學上的方便、並非字面上的真相——以此緩和衝擊,卻未經許可。據說,哥白尼只在他去世的那一天,1543 年,才見到這部完成的書。

它為何重要

哥白尼並沒有證明地球在動。他的體系不比舊的更準,而且仍靠著一層層的圓運轉。他改變的,是那個問題本身。憑著把太陽放到中心的膽量,他把天空變成了某種可以測量、可以解釋的東西——並給下一個世紀留下一道謎題,由克卜勒、伽利略與牛頓接力解完。他也開啟了人類漫長的「謙卑」:從創世的中心,被打落成一顆運動著的小小行星。

一個可以想像的畫面

想像你在高速公路上超越一輛較慢的車。當你與它並排、再超到前面,那輛車看起來就像相對遠處的山丘向後滑去——儘管它其實仍在前進。行星正是如此。當跑得更快的地球,從內圈趕過火星時,火星就會相對星空向後漂移幾個星期。天上並不需要畫出任何圈套——只要兩個旅人同在一條弧線上,一個超過另一個。

可互動的日心模型:太陽居中,地球與一顆可選行星(金星、火星、木星)各沿圓形軌道運行。一條虛線視線從運動中的地球穿過行星,伸向恆星之環,標出行星的視黃經;下方的圖把這一黃經隨時間畫出,跨越一個會合週期,其中向後倒退的逆行段以紅色高亮。拖動時間,或點選行星。

它的位置

早在古希臘,阿里斯塔克就已猜到地球在動——但這想法夭折了,托勒密的地心體系一直統治到 1543 年。哥白尼把太陽留在中心,卻仍守著完美的圓。半個世紀後,克卜勒(《新天文學》,1609,見本館另一篇)把這些圓彎成了橢圓,而牛頓的《自然哲學的數學原理》(1687)才終於解釋了行星何以運動。「哥白尼式的」一詞,已用來泛指任何把我們挪出中心的發現。

The original document
Original source text
Nicolaus Copernicus · De revolutionibus orbium coelestium · Nuremberg: Johannes Petreius, 1543 · in six books
The full title
On the Revolutions of the Heavenly Spheres, in six books — printed at Nuremberg in 1543, the year of its author's death. Legend has it Copernicus saw the finished volume only on the last day of his life.
An unsigned preface — added without permission
The printed book opens with an anonymous letter 'To the Reader' (Ad lectorem) arguing that the moving Earth need not be held true, only treated as a convenient device for calculation. Copernicus did not write it: the Lutheran theologian Andreas Osiander, who oversaw the press, slipped it in. Kepler later named him and exposed the substitution.
Dedication to Pope Paul III
Copernicus dedicates the work to the Pope, expecting to be hooted off the stage for setting the Earth in motion, and answers in advance that only the competent may judge such matters:
Mathematics is written for mathematicians.
He nonetheless submits the whole to wiser judgement:
For I am not so enamoured of my own opinions that I disregard what others may think of them.
Book I — the new cosmos
The universe and the Earth are spherical; the Earth turns once a day on its axis and travels once a year around the Sun; the planets are ranked outward from the centre by their periods — Mercury, Venus, the Earth with its Moon, Mars, Jupiter, Saturn — and the fixed stars lie immensely far beyond. Of the Sun's central place Copernicus writes:
At rest, however, in the middle of everything is the sun. For, in this most beautiful temple, who would place this lamp in another or better position than that from which it can light up the whole thing at the same time?
[ … ]
Books II–VI — the working astronomy
Book II treats spherical astronomy with a catalogue of the fixed stars; Book III, the precession of the equinoxes and the Earth's annual motion; Book IV, the Moon; Books V and VI, the longitudes and latitudes of the planets. Throughout, Copernicus keeps uniform circular motion and small epicycles — so the system reproduces the sky about as well as Ptolemy's Almagest, and no better.
Nicolaus Copernicus · Canon of Frombork · 1543