The Three-Body Problem Part 31

10 Translator's Note: The Second Artillery Corps controls China's nuclear missiles.

11 Translator's Note: Qian Zhongshu (19101998) was one of the most famous Chinese literary scholars of the twentieth century. Erudite, witty, and aloof, he consistently refused media appearances. One might think of him as a Chinese Thomas Pynchon.

12 Translator's Note: For more on Ding Yi, see Ball Lightning by Cixin Liu.

13 Author's Note: See Isaac Asimov's short story "The Billiard Ball."

14 Translator's Note: This refers to w.a.n.g's status as a member of the Chinese Academy of Sciences.

15 Translator's Note: Hairen () means "Man of the Sea." This is a play on w.a.n.g Miao's name (), which can be read to mean "sea."

16 Translator's Note: The Warring States Period lasted from 475 BC to 221 BC. But King Wen of Zhou reigned much earlier, from 1099 BC to 1050 BC. He is considered the founder of the Zhou Dynasty, which overthrew the corrupt Shang Dynasty.

17 Translator's Note: King Zhou of Shang reigned from 1075 BC to 1046 BC. The last king of the Shang Dynasty, he was a notorious tyrant in Chinese history.

18 Translator's Note: Zhao Ge was the capital of Shang China, where King Zhou held court.

19 Translator's Note: Fu Xi is the first of the Three Sovereigns, a Chinese mythological figure. He was one of the progenitors of the human race along with the G.o.ddess Nwa.

20 Translator's Note: Ji Chang is King Wen's given name.

21 Author's Note: Chien-s.h.i.+ung Wu was one of the most outstanding physicists of the modern era, with many accomplishments in experimental physics. She was the first to experimentally disprove the hypothetical "law of conservation of parity" and thereby lend support to the work of theoretical physicists Tsung-Dao Lee and Chen-Ning Yang.

22 Translator's Note: Er guo tou is a distilled liquor made from sorghum, sometimes called "Chinese vodka."

23 Translator's Note: Mozi was the founder of the Mohist school of philosophy during the Warring States Period. Mozi himself emphasized experience and logic, and was known as an accomplished engineer and geometer.

24 Translator's Note: This was a Chinese 16-bit minicomputer modeled on the American Data General Nova.

25 Translator's Note: A maser is like a laser, but for electromagnetic radiation, typically microwaves, not in the visible light range.

26 Translator's Note: The Third Front program was a secret, military-led industrialization effort during the Cultural Revolution that built factories in China's interior, where they would be less vulnerable to American and Soviet attacks.

27 Translator's Note: Hand-written posters using large Chinese characters have become a.s.sociated with the Cultural Revolution in the popular imagination. However, they have a long history in China as tools of propaganda as well as protest both before and after the Cultural Revolution.

28 Author's Note: How three bodies would move under the influence of their mutual gravitational attractions is a traditional problem in cla.s.sical mechanics that arises naturally in the study of celestial mechanics. Many have worked on it since the sixteenth century. Euler, Lagrange, and more recent researchers (aided by computers) have all found solutions for special cases of the three-body problem. Karl F. Sundman later proved the existence of a general solution to the three-body problem in the form of a convergent infinite series, but the series converges so slowly that it is practically useless.

29 Translator's Note: Poincare showed that the three-body problem exhibited sensitive dependence on initial conditions, which we would now understand as characteristic of chaotic behavior.

30 Translator's Note: For details, please see Alain Chenciner and Richard Montgomery, "A remarkable periodic solution of the three-body problem in the case of equal ma.s.ses," Annals of Mathematics, 152 (2000), 881901.

31 Author's Note: Roche limit: edouard Roche, French astronomer, was the first to calculate the theoretical distance between two celestial bodies such that the smaller body will be torn apart by tidal forces from the larger body. The Roche limit is usually expressed as a function of the densities of the bodies and the equatorial radius of the larger body.

32 Translator's Note: Chairman Mao was often compared to the "red sun," especially during the years of the Cultural Revolution.

33 Translator's Note: The Chinese term for "sunspot" () literally means "solar black spots." Black, of course, was the color of counter-revolutionaries.

34 Translator's Note: Alpha Centauri, though appearing to the naked eye as a single star, is actually a double-star system (Alpha Centauri A and Alpha Centauri B). A third star, called Proxima Centauri and invisible to the naked eye, is probably gravitationally a.s.sociated with the double-star system. The Chinese name for the objects () makes it clear that the "star" is really a system of three stars.

35 Translator's Note: The Five Black Categories, the targets of the Cultural Revolution, were five political ident.i.ties used during the revolution: landlords, rich farmers, counter-revolutionaries, "bad elements," and right-wingers.

36 Translator's Note: During the initial phase of the Cultural Revolution, all cla.s.ses ceased at colleges and elementary, junior high, and high schools as older students became Red Guards. The resulting chaos finally caused the leaders.h.i.+p in Beijing to ask students to return to cla.s.s in late 1967 and continue the revolution in a more controlled manner.

37 Translator's Note: "Cowsheds" were locations set up by work units (factories, schools, towns, etc.) during the early phases of the Cultural Revolution to detain the counter-revolutionary "Monsters and Demons" (reactionary academic authorities, rightists, the Five Black Categories, etc.) at the work unit.

38 Translator's Note: This meeting marked the beginning of the "Reform and Opening Up" policy and was seen as the moment when Deng Xiaoping became the leader of China.

39 Translator's Note: In the later years of the Cultural Revolution, privileged, educated urban youths were sent down to the poor, mountainous countryside to live with and learn from the farmers there. Many of these so-called "Rusticated Youths" were former Red Guards, and some commentators believe that the policy was inst.i.tuted by Chairman Mao to restore order by removing the rebels, who had gotten out of control, from the cities.

40 Translator's Note: The Hundred-Day War at Tsinghua University was one of the most violent Red Guard civil wars during the Cultural Revolution. Fought between two Red Guard factions, it lasted from April 23 to July 27 in 1968. Mlee weapons, guns, grenades, mines, cannons, etc. were all used. In the end, eighteen people died, more than eleven hundred were wounded, and more than thirty were permanently disabled.

41 Translator's Note: Norman Bethune (18901939) was a Canadian surgeon who served with the Chinese Communists in their fight against the j.a.panese invasion force during World War II. As one of the few Westerners who showed friends.h.i.+p to the Chinese Communists, Bethune became a Chinese hero known to the elderly and children alike.

42 Translator's Note: There is a pun in Chinese between the word for a proton, zhizi (), and the word for a sophon, zhizi ().

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