# Keplerovi zakoni

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Keplerovi zakoni opisuju kretanje planeta oko Sunca. Formulisana su tri Keplerova zakona:

## Prvi Keplerov zakon

Sunce kao fokus u eliptičkoj orbiti

Planete se kreću po eliptičkim putanjama u kojem se u jednom od fokusa nalazi centar mase sunce.

## Drugi Keplerov zakon

Ilustracija za Keplerov drugi zakon.

Radijus vektor Sunce-planeta u jednakim vremenskim intervalima opisuje jednake površine.

Ovaj zakon se matematički može predstaviti izrazom:

${\displaystyle r^{2}{\frac {d\theta }{dt}}=const}$

## Treći Keplerov zakon

Kvadrati perioda obilaska planeta oko sunca (T) su srazmerni kubovima velikih poluosa (a) njihovih putanja.

Matematički se ovaj zakon može napisati izrazom: ${\displaystyle {\frac {a_{1}^{3}}{T_{1}^{2}}}={\frac {a_{2}^{3}}{T_{2}^{2}}}=const}$

## Spoljašnje veze

• B.Surendranath Reddy; animation of Kepler's laws: applet
• Crowell, Benjamin, Conservation Laws, http://www.lightandmatter.com/area1book2.html, an online book that gives a proof of the first law without the use of calculus. (see section 5.2, pp. 112)
• David McNamara and Gianfranco Vidali, Kepler's Second Law - Java Interactive Tutorial, http://www.phy.syr.edu/courses/java/mc_html/kepler.html, an interactive Java applet that aids in the understanding of Kepler's Second Law.
• University of Tennessee's Dept. Physics & Astronomy: Astronomy 161 page on Johannes Kepler: The Laws of Planetary Motion [1]
• Equant compared to Kepler: interactive model [2]
• Kepler's Third Law:interactive model [3]
• Solar System Simulator (Interactive Applet)