Relativity Physics and Science Calculator - Johannes Kepler's 2nd Law .
Relativity Science Calculator

 Web Relativity Physics and Science Calculator

Kepler's 2nd Law

"Since divine goodness has bestowed on us Tycho Brahe the most diligent observer, from whose observations this error of 8 minutes in Ptolemy's calculation for Mars has been deduced; it is right that with grateful minds we acknowledge and profit by God's good gift. ... For if I had thought that those 8 minutes of longitude were to be despised I should (that is by bisecting the eccentricity) already have applied a sufficient correction to the model I devised in Chapter 16. Now, because they could not be despised, these eight minutes, all alone, have opened up the road to reforming the whole of Astronomy, and they have become the material for a large part of this work." - Johannes Kepler ( 1571 - 1630 )
[ Source: "The New Astronomy": Astronomia nova ( Heidelberg, 1609 ), 113 - 114; KGW 3, 177 - 178, from School of Mathematics and Statistics, University of St Andrews, Scotland ]

Kepler's 2nd Law ( Equal Areas in Equal Times: Variable - speed model ):

The Law of Equal Areas states that a line joining a planet and its star sweeps out equal areas during equal intervals of time.

Sun = red circle

Planet = yellow circle

Blue arrow = initial condition

Red arrow = moving planet and is proportional to planet's velocity

Closer to the sun, the faster the planet passes in its transit orbit

Further from the sun, the slower the planet passes in its transit orbit

[ note: The last two observations hold because of Kepler's 2nd Law of Equal Areas where a planet sweeps out equal areas during equal intervals of time. ]

Proof: Kepler's 2nd Law

§ References:

1. "Astronomia Nova", by Johannes Kepler ( 1571 - 1630 )

2. "Harmonices Mundi", by Johannes Kepler ( 1571 - 1630 )

 [ Mail this page to a friend ] Site Navigation

 Your ip address is: 3.235.41.241 This document was last modified on: (none) Your browser is: CCBot/2.0 (https://commoncrawl.org/faq/) Domains: relativitycalculator.com, relativityphysics.com, relativityscience.com, relativitysciencecalculator.com, einsteinrelativityphysicstheory.com Urls: https://www.relativitycalculator.com, http://www.relativityphysics.com, http://www.relativityscience.com, http://www.relativitysciencecalculator.com, http://www.einsteinrelativityphysicstheory.com ss note: for a secure encrypted connection type 'https' in the url address bar - i.e., https://www.relativitycalculator.com/

.

.

.

.

.

.

.

.

.

.

.