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

From The Portal Wiki
Jump to navigation Jump to search
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
The orbit of every planet is an ellipse with the Sun at one of the two foci.
<div class="floatright" style="text-align: center">
[[File:Kepler1stlaw.png|center|class=shadow|300px]]
</div>
'''Johannes Kepler''' (b. 1571)


''''' Kepler's laws of planetary motion''''' 1609-1619


Mathematically, an ellipse can be represented by the formula:
The orbit of every planet is an ellipse with the Sun at one of the two foci.
 
$${e r={\frac {p}{1+\varepsilon \,\cos \theta }},}{\displaystyle r={\frac {p}{1+\varepsilon \,\cos \theta }},}$$
 
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).




Line 14: Line 13:
*[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: