Chasing the dragon

Chasing the dragon

19th-century star atlas illustration of the constellation Draco

Originally published 7 August 2005

If the Roy­al Obser­va­to­ry at Green­wich has a roy­al star, it has to be Gam­ma Dra­co­nis, also known as Eltanin, “the drag­on’s head.” Eltanin is not an espe­cial­ly bright star, in a con­stel­la­tion, Dra­co, the Drag­on, with­out any bright stars. But it does have a claim to local fame: It pass­es direct­ly over­head Lon­don once each day.

In 1669, Robert Hooke, Isaac New­ton’s neme­sis, pro­posed to observe Gam­ma Dra­co­nis through­out the course of a year, hop­ing to detect its par­al­lax. Par­al­lax: a fan­cy word for a com­mon notion. Hold your fin­ger up in front of your nose. Now look at it first with one eye, then the oth­er. Notice how your fin­ger seems to move against the more dis­tant back­ground. That’s par­al­lax: an appar­ent change in the posi­tion of an object when viewed from two dif­fer­ent places. Notice also that as you move your fin­ger far­ther away from your nose, the appar­ent shift becomes less. The greater the dis­tance of the observed object, the less the par­al­lax. What Hooke hoped to see was a change in the appar­ent posi­tion of Gam­ma Dra­co­nis due to the Earth­’s motion in its orbit.

Suc­cess, he knew, would make him famous. He would have pro­vid­ed the first unam­bigu­ous proof that the Earth moves through space as Coper­ni­cus had pro­posed. And more, he would be the first to mea­sure direct­ly the dis­tance to a star.

Not that Hooke need­ed anoth­er feath­er in his cap. He was already acknowl­edged as one of the clever­est nat­ur­al philoso­phers of his time, a new Leonar­do. In 1662 he had been appoint­ed Cura­tor of Exper­i­ments for the new­ly-cre­at­ed Roy­al Soci­ety, and in the fol­low­ing years he con­trived an extra­or­di­nary range of exper­i­ments and inven­tions. Vac­u­um pump, air com­pres­sor, uni­ver­sal joint, iris diaphragm (today used in cam­eras), spi­ral spring for clocks, barom­e­ter, hygrom­e­ter, wind gauge, clock-dri­ven tele­scope: His fer­tile mind cranked out one use­ful device after anoth­er. His inter­na­tion­al rep­u­ta­tion was assured with the pub­li­ca­tion in 1665 of Micro­graphia, a won­drous com­pendi­um of the world of the very small revealed by the new­ly invent­ed micro­scope. The diarist Samuel Pepys called it “the most inge­nious book that I have ever read in my life.”

Strange fel­low, Hooke. A sick­ly, stooped, pop-eyed man, afflict­ed with an assort­ment of uncer­tain mal­adies, includ­ing, no doubt, hypochon­dria. A ner­vous, can­tan­ker­ous insom­ni­ac, jeal­ous of his fame, quick to put down oth­ers. He seems to have intu­it­ed the inverse square law of grav­i­ty before New­ton, but he lacked the patience and math­e­mat­i­cal skill to do what New­ton did — apply the law to both ter­res­tri­al and celes­tial motions. Today his name appears in sci­ence books only in asso­ci­a­tion with the elas­tic law of springs, not a par­tic­u­lar­ly fun­da­men­tal insight into the work­ings of nature. Like Leonar­do, his rest­less mind flit­ted so nim­bly from top­ic to top­ic that he seems nev­er to have fol­lowed through any idea ful­ly. So it was with his 1669 pro­pos­al — to mea­sure stel­lar parallax.

Hooke knew the stars were very far away (like oth­ers of his time, he sup­posed they were oth­er Suns), and that the par­al­lax would be small. If, in the 17th cen­tu­ry, you want­ed to mea­sure the posi­tion of a star with exceed­ing accu­ra­cy there were advan­tages to choos­ing a star that pass­es near the zenith (the point direct­ly over­head). First, grav­i­ty defines the zenith exact­ly; one need only align a tele­scope with a plumb bob to be sure that it point­ed ver­ti­cal­ly. Sec­ond, the star’s light pass­es per­pen­dic­u­lar­ly through the Earth­’s atmos­phere, so it will not be sub­ject to refrac­tion, the bend­ing of light that occurs when light pass­es oblique­ly through any trans­par­ent medium.

Hooke cut holes through the inte­ri­or ceil­ings and roof of his apart­ment at Gre­sham Col­lege in Lon­don, and set up a thir­ty-six-foot-long ver­ti­cal tele­scope, aligned with a plumb bob. With this he watched Gam­ma Dra­co­nis tran­sit near the zenith, care­ful­ly ascer­tain­ing its angu­lar dis­tance from the zenith point. He made mea­sure­ments on July 6, July 9, August 6, and Octo­ber 21, all in the year 1669, and thought he observed a tiny shift of 1/100th of a degree. But he was not at all cer­tain that his appa­ra­tus worked reli­ably, and had lit­tle con­fi­dence in this result. After less than a hand­ful of obser­va­tions, he aban­doned the project due to “incon­ve­nient weath­er and great indis­po­si­tion to my health.”

And just as well. It turns out that Gam­ma Dra­con­is’s par­al­lax is less than a thou­sandth of what Hooke thought he had — with great dif­fi­cul­ty! — mea­sured. The actu­al par­al­lax of a star would not be mea­sured until the Ger­man astronomer Friedrich Wil­helm Bessel pulled off the trick in 1838.

Still, give Hooke his due. He had a go at mea­sur­ing the dis­tance to a star, and estab­lished an exper­i­men­tal plan that oth­ers would fol­low. If he did­n’t find the dis­tance to Gam­ma Dra­co­nis, or see the annu­al wob­ble in the star’s appar­ent posi­tion that proved the Earth moves, he at least con­firmed more reli­ably than any­one before that if the Earth does move the stars are very far away indeed.

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