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Orbits of the Kepler problem via polar reciprocals

Orbits of the Kepler problem via polar reciprocals

: ์ด ๋…ผ๋ฌธ์€ ์ผ€ํ”Œ๋Ÿฌ ๋ฌธ์ œ์—์„œ ํ–‰์„ฑ ๊ถค๋„๋ฅผ ์ถ”์ ํ•˜๋Š” ๋ฐ ์‚ฌ์šฉ๋˜๋Š” ๊ธฐ์กด ๋ฐฉ๋ฒ•๋“ค์— ๋Œ€ํ•œ ์ƒˆ๋กœ์šด ์ ‘๊ทผ๋ฒ•์„ ์ œ์‹œํ•˜๊ณ  ์žˆ๋‹ค. ํŠนํžˆ, ์ด ๋…ผ๋ฌธ์—์„œ๋Š” ํ˜ธ๋„๊ทธ๋ž˜ํ”„์™€ ๊ทธ ๊ทน์  ์ƒํ˜ธ์ž‘์šฉ์„ ํ™œ์šฉํ•˜์—ฌ ๊ถค๋„๋ฅผ ๊ทธ๋ฆฌ๋Š” ๋ฐฉ๋ฒ•์„ ์†Œ๊ฐœํ•œ๋‹ค. 1. ๊ธฐ์กด ๋ฐฉ๋ฒ•์˜ ๋ฌธ์ œ์  ๊ธฐ์กด์˜ ๋ฐฉ๋ฒ•๋“ค์€ ๋ณต์žกํ•œ ๋ฏธ์ ๋ถ„ ๋Œ€์‹  ์–ด๋‘์šด ๊ธฐํ•˜ํ•™์ด๋ผ๋Š” ๋‹จ์ ์„ ๊ฐ€์ง€๊ณ  ์žˆ๋‹ค. ์ด๋Š” ๋Œ€๋ถ€๋ถ„์˜ ํ•™์ƒ๋“ค์ด ์ด๋Ÿฌํ•œ ์ง€์‹์„ ์ดํ•ดํ•˜๋Š” ๋ฐ ์–ด๋ ค์›€์„ ๊ฒช๋Š”๋‹ค๋Š” ๊ฒƒ์„ ์˜๋ฏธํ•œ๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด, ๋ฐ๋ฅด๋ฒ ์Šค(Derbes)์˜ ๋…ผ๋ฌธ์„ ์ฝ์€ ํ•œ ๋…์ž๋Š” '๋ณต์žกํ•œ ๋ฏธ์ ๋ถ„ ๋Œ€์‹  ์–ด๋‘์šด ๊ธฐํ•˜ํ•™์ด๋ผ๋Š” ๋Œ€๊ฐ€๋ฅผ ์น˜๋ฅธ ๊ฒƒ์— ์‹ค๋งํ–ˆ๋‹ค'๊ณ  ์–ธ๊ธ‰ํ•˜์˜€

Physics
Gravitational constant calculation methodologies

Gravitational constant calculation methodologies

1. ์—ฐ๊ตฌ ๋ฐฐ๊ฒฝ ์ค‘๋ ฅ ์ƒ์ˆ˜(G)๋Š” ์ค‘๋ ฅ์„ ์ดํ•ดํ•˜๊ณ , ์šฐ์ฃผ์™€ ์ง€๊ตฌ ๋‚ด์—์„œ ๋ฐœ์ƒํ•˜๋Š” ๋‹ค์–‘ํ•œ ํ˜„์ƒ์„ ์„ค๋ช…ํ•˜๋Š”๋ฐ ํ•„์ˆ˜์ ์ธ ๋ฌผ๋ฆฌ ์ƒ์ˆ˜์ด๋‹ค. ์ด ๋…ผ๋ฌธ์€ G์˜ ์ •ํ™•ํ•œ ๊ณ„์‚ฐ ๋ฐฉ๋ฒ•์„ ๊ฐœ๋ฐœํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ๊ณผํ•™ ๋ฐ ๊ณตํ•™ ๋ถ„์•ผ์— ์ค‘์š”ํ•œ ์˜ํ–ฅ์„ ๋ฏธ์น  ์ˆ˜ ์žˆ๋Š” ๊ฐ€๋Šฅ์„ฑ์„ ํƒ์ƒ‰ํ•œ๋‹ค. 2. ์—ฐ๊ตฌ ๋ชฉ์  ๋ณธ ์—ฐ๊ตฌ๋Š” ์ฃผ๋กœ ์„ธ ๊ฐ€์ง€ ์ ‘๊ทผ ๋ฐฉ์‹์„ ์‚ฌ์šฉํ•˜์—ฌ ์ค‘๋ ฅ ์ƒ์ˆ˜(G)๋ฅผ ๊ณ„์‚ฐํ•˜๋Š” ๋ฐฉ๋ฒ•๋ก ์„ ๊ฒ€ํ† ํ•˜๋ฉฐ, ํŠนํžˆ ๋น„๊ท ์ผ ๊ฐ€์Šค ํ๋ฆ„์ด G ๊ฐ’์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์„ ๋ถ„์„ํ•˜๊ณ ์ž ํ•œ๋‹ค. ์ด๋ฅผ ํ†ตํ•ด G์˜ ์ •ํ™•ํ•œ ๊ฐ’์„ ์–ป๊ธฐ ์œ„ํ•œ ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์‹œํ•œ๋‹ค. 3. ์—ฐ๊ตฌ ๋ฐฉ๋ฒ• ๋ฐฉ๋ฒ• 1: ๋ถˆ์กฐํ™” ์ง„๋™

Physics
Echo-based measurement of the speed of sound

Echo-based measurement of the speed of sound

์ด ๋…ผ๋ฌธ์€ ๊ฐ„๋‹จํ•œ ์‹คํ—˜ ๋ฐฉ๋ฒ•์œผ๋กœ ์Œ์†์„ ์ธก์ •ํ•˜๋Š” ๊ณผ์ •๊ณผ ๊ทธ ๊ฒฐ๊ณผ๋ฅผ ์ƒ์„ธํžˆ ์„ค๋ช…ํ•˜๊ณ  ์žˆ๋‹ค. ์—ฐ๊ตฌ์˜ ํ•ต์‹ฌ์€ ํ’์„ ์ด ํ„ฐ์ง€๋Š” ์ˆœ๊ฐ„๋ถ€ํ„ฐ ์—์ฝ”๊ฐ€ ๋„์ฐฉํ•  ๋•Œ๊นŒ์ง€์˜ ์‹œ๊ฐ„ ์ฐจ์ด๋ฅผ ํ†ตํ•ด ์Œ์†์„ ๊ณ„์‚ฐํ•˜๋Š” ๊ฒƒ์ด๋‹ค. ์‹คํ—˜ ๋ฐฉ๋ฒ• ๋ฐ ์žฅ๋น„ ์‹คํ—˜์—์„œ๋Š” Audacity๋ผ๋Š” ์˜ค๋””์˜ค ํŽธ์ง‘ ์†Œํ”„ํŠธ์›จ์–ด๋ฅผ ์‚ฌ์šฉํ•˜์—ฌ ํ’์„ ์ด ํ„ฐ์ง€๋Š” ์ˆœ๊ฐ„๊ณผ ์—์ฝ”๊ฐ€ ๋„์ฐฉํ•œ ์‹œ์ ์„ ์ •ํ™•ํžˆ ์ธก์ •ํ•˜์˜€๋‹ค. ํ’์„ ์€ ํฐ ํ‰ํ‰ํ•œ ๋ฒฝ์—์„œ 45.72m ๋–จ์–ด์ง„ ๊ณณ์—์„œ ํ„ฐ์กŒ์œผ๋ฉฐ, ์‹คํ—˜ ํ™˜๊ฒฝ์˜ ์˜จ๋„๋Š” 18.3ยฐC, ์Šต๋„๋Š” 16.1%, ํ˜„์ง€ ๊ณ ๋„๋Š” 360m์˜€๋‹ค. ๊ฒฐ๊ณผ ๋ถ„์„ ์‹คํ—˜์—์„œ๋Š” ์„ธ ๊ฐœ์˜ ํ’์„ ์„ ์‚ฌ์šฉํ•˜์—ฌ ์ธก์ •์„

Physics

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