Difference between revisions of "Kepler's 1st law"

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'''Johannes Kepler''' (b. 1571)
''''' Kepler's laws of planetary motion''''' 1609-1619


The orbit of every planet is an ellipse with the Sun at one of the two foci.
The orbit of every planet is an ellipse with the Sun at one of the two foci.


Mathematically, an ellipse can be represented by the formula:
$${e r={\frac {p}{1+\varepsilon \,\cos \theta }},}{\displaystyle r={\frac {p}{1+\varepsilon \,\cos \theta }},}$$
where $$p$$ is the semi-latus rectum, ε is the eccentricity of the ellipse, r is the distance from the Sun to the planet, and θ is the angle to the planet's current position from its closest approach, as seen from the Sun. So (r, θ) are polar coordinates.
For an ellipse 0 < ε < 1 ; in the limiting case ε = 0, the orbit is a circle with the Sun at the centre (i.e. where there is zero eccentricity).




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*[https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#First_law_of_Kepler Kepler's 1st law]
*[https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#First_law_of_Kepler Kepler's 1st law]
== Discussion: ==
== Discussion: ==
[[Category:Pages for Merging]]

Latest revision as of 17:38, 1 November 2020

Kepler1stlaw.png

Johannes Kepler (b. 1571)

Kepler's laws of planetary motion 1609-1619

The orbit of every planet is an ellipse with the Sun at one of the two foci.


Resources:

Discussion: