Honoring Kepler

[oriel16]

The original statement of Kepler in expressing his achievement is this -

“The proportion existing between the periodic times of any two planets is exactly the sesquiplicate proportion of the mean distances of the orbits, or as generally given,the squares of the periodic times are proportional to the cubes of the mean distances.” Kepler

It means that when observed from an orbitally moving Earth,a planet will return to the same spot after a given period based on the main argument of Copernicus for the Earth’s motion -

apod.nasa.gov/apod/image/0112/JuSa2000_tezel.gif

The full and magnificent expression is easy to understand -

“But it is absolutely certain and exact that the ratio which exists between the periodic times of any two planets is precisely the ratio of the 3/2th power of the mean distances, i.e., of the spheres themselves; provided, however, that the arithmetic mean between both
diameters of the elliptic orbit be slightly less than the longer diameter. And so if any one take the period, say, of the Earth, which is one year, and the period of Saturn, which is thirty years, and extract the cube roots of this ratio and then square the ensuing ratio by squaring the cube roots, he will have as his numerical products the most just ratio of the distances of the Earth and Saturn from the sun. 1 For the cube root of 1 is 1, and the square of it is 1; and the cube root of 30 is greater than 3, and therefore the square of it is
greater than 9. And Saturn, at its mean distance from the sun, is slightly higher than nine times the mean distance of the Earth from the sun.” Kepler

I owe this much to Kepler and Copernicus who had their work destroyed (Edited).Whatever charity is shown to the empirical proponents here,none is shown to the great Christian astronomers and the enormous effort it takes to come to these insights.

 

[oriel16]

The original statement of Kepler in expressing his achievement is this -

“The proportion existing between the periodic times of any two planets is exactly the sesquiplicate proportion of the mean distances of the orbits, or as generally given,the squares of the periodic times are proportional to the cubes of the mean distances.” Kepler

It means that when observed from an orbitally moving Earth,a planet will return to the same spot after a given period based on the main argument of Copernicus for the Earth’s motion -

apod.nasa.gov/apod/image/0112/JuSa2000_tezel.gif

The full and magnificent expression is easy to understand -

“But it is absolutely certain and exact that the ratio which exists between the periodic times of any two planets is precisely the ratio of the 3/2th power of the mean distances, i.e., of the spheres themselves; provided, however, that the arithmetic mean between both
diameters of the elliptic orbit be slightly less than the longer diameter. And so if any one take the period, say, of the Earth, which is one year, and the period of Saturn, which is thirty years, and extract the cube roots of this ratio and then square the ensuing ratio by squaring the cube roots, he will have as his numerical products the most just ratio of the distances of the Earth and Saturn from the sun. 1 For the cube root of 1 is 1, and the square of it is 1; and the cube root of 30 is greater than 3, and therefore the square of it is
greater than 9. And Saturn, at its mean distance from the sun, is slightly higher than nine times the mean distance of the Earth from the sun.” Kepler

I owe this much to Kepler and Copernicus who had their work destroyed (Edited).Whatever charity is shown to the empirical proponents here,none is shown to the great Christian astronomers and the enormous effort it takes to come to these insights.

I have to laugh at this ‘charity’ business,the empircists would love nothing better than replace Churches as places of worship with universities and have their knowledge their anti-scientific method.I actually know the technical details of what they did and how they distorted the great Chrsitian scientific works while the Church does nothing.

Charity,if the Church does not actively fight this anti-inspirational empirical cult in the proper way,they will not show you charity,and you know what,they would be right.

Christianity will survive the denominational Church as it stands today and even though I love my Catholic community and its decency,I have nothing to say about the Church authorities.

When you start distorting or ‘editing’ my posts then the purpose of coming here is finished.

 

[The_Barbarian]

There is no conflict between Kepler and Newton. Newton’s theory, when applied to the planets, produces the same results as Kepler’s laws. The only difference between Kepler’s Law and Newton’s theory is that the theory explains why it happens that way.

And that’s a great thing, because it then can be applied to anything; the moon, a space probe, or an apple falling from a tree. It has become a useful and adaptable way of understanding motion in a gravitational field.