Application of Cartesian coordinates to Planetary Movement

Authors

  • Edgard Vidalón Vidalón Facultad de Ciencias. Universidad Nacional de Ingeniería

Keywords:

gravitational forces , planetary moment

Abstract

The analysis of the motion of a particle which moves under the action of a gravitational force caused by anotherparticle (which is fixed in the origin of coordinates) is studied in the course of Clasical Mechanics in undergraduate.It is demostraded in this course, using polar coordinates, that the trajectory is a c ́onical and in the case of anelliptical movement (Example: Planetary Movement) one of the focus matches the origin of coordinates.In the present article, the mentioned property will be shown (which is the Kepler’s first law) by an alternativemethod that consists of using cartesian coordinates and concepts of analytical geometry.

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References

1. Jerry B. Marion, Dinámica Clásica de las Partículas y Sistemas. Ed. Reverté S. A., Edicion 1975, p.276- 282(1975).
2. Joseph Norwood, Mecánica Clásica a Nivel Intermedio. Ed. Prentice Hall / Pearson, p.136-140(1981).
3. Norman B. Haaser, Joseph P. La Salle, Joseph A. Sullivan , Anaalisis Matemático. Ed. Trillas S. A., Vol I, p.236-243(1977)

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Published

2021-06-18

How to Cite

Vidalón Vidalón, E. (2021). Application of Cartesian coordinates to Planetary Movement. Journal of the Science Faculty @ UNI, 17(1), 22–24. Retrieved from https://revistas.uni.edu.pe/index.php/revciuni/article/view/951

Issue

Vol. 17 No. 1 (2014)

Section

Artículos

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