케플러의 법칙, 행성운동과 타원

이 항목의 스프링노트 원문주소

• 행성운동과 타원

 

 

메모

케플러의 법칙  KEPLER’S LAWS
1. A planet revolves around the sun in an elliptical orbit with the sun at one focus.
2. The line joining the sun to a planet sweeps out equal areas in equal times.
3. The square of the period of revolution of a planet is proportional to the cube of the length of the major axis of its orbit.

http://www.rowan.edu/colleges/las/departments/math/facultystaff/osler/ELLIPSE2.pdf

 

케플러 방정식

• http://www.scilogs.eu/en/blog/spacetimedreamer/2009-06-24/the-kepler-equation
• http://www.jgiesen.de/kepler/kepler.html
• \(M=E-e \sin E\)

 

 

관련된 항목들

• Newton on Abelian functions
• 베셀 미분방정식

 

 

관련논문

• Colwell, Peter. 1992. Bessel Functions and Kepler's Equation. The American Mathematical Monthly 99, no. 1 (January 1): 45-48. doi:10.2307/2324547. 
   
  
• Newton's Orbit Problem: A Historian's Response
  
  • Curtis Wilson
  • The College Mathematics Journal, Vol. 25, No. 3 (May, 1994), pp. 193-200
• Teaching the Kepler Laws for Freshmen
  
  • Maris van Haandel and Gert Heckman
  • The Mathematical Intelligencer
  • Volume 31, Number 2 / 2009년 4월

 

 

관련도서

• http://www.willbell.com/math/mc12.htm

 

사전형태의 자료

• http://en.wikipedia.org/wiki/Kepler%27s_Equation
• http://en.wikipedia.org/wiki/Eccentric_anomaly