|
|
Thread Tools | Display Modes |
#1
|
|||
|
|||
Gravitational potential for fun and profit
I saw a neat article in "The Physics Teacher" last month that had a
nice plot of the gravitational potential within the inner solar system. So, I decided to play. For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result. http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave |
#2
|
|||
|
|||
Gravitational potential for fun and profit
On Nov 6, 7:47*am, Dave Typinski wrote:
I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann The language of Astronomy is first and foremost geometry,as a person can see,the insight and correlation Kepler drew in respect to orbital periods and distance from the Sun is both easy to understand and enjoyable whereas the contrived version by Newton is basically stitched together with the hope that nobody will notice that it is rubbish or know much about the original insights of astronomers. The thing about this is that there is a tremendous amount of work for dynamicists but they cannot find themselves out of the labyrinth they created and I can only point out so many time where they jump the tracks,take the wrong turn,apply an inappropriate analogy such as apple/Earth and the myriad of different things which dull astronomy. |
#3
|
|||
|
|||
Gravitational potential for fun and profit
On 6 nov, 06:27, oriel36 wrote:
On Nov 6, 7:47*am, Dave Typinski wrote: I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. You are absolutely right on this issue. Even in a precursor manuscript work "De gravitatione" written between 1665 and 1670 he stated in Definition 15. "Bodies are denser when their inertia is more intense and less so when their inertia is weaker." Apparently, from the get go he never assumed constancy of mass. Among other interesting precursor ideas, he also considered the possibility that light could maybe cause a body to move as the wind causes windmills sails to move. André Michaud That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann *The language of Astronomy is first and foremost geometry,as a person can see,the insight and correlation Kepler drew in respect to orbital periods and distance from the Sun is both easy to understand and enjoyable whereas the contrived version by Newton is basically stitched together with the hope that nobody will notice that it is rubbish or know much about the original insights of astronomers. The thing about this is that there is a tremendous amount of work for dynamicists but they cannot find themselves out of the labyrinth they created and I can only point out so many time where they jump the tracks,take the wrong turn,apply an *inappropriate analogy such as apple/Earth and the myriad of different things which dull astronomy. |
#4
|
|||
|
|||
Gravitational potential for fun and profit
On Nov 6, 2:39*pm, wrote:
On 6 nov, 06:27, oriel36 wrote: On Nov 6, 7:47*am, Dave Typinski wrote: I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. You are absolutely right on this issue. Even in a precursor manuscript work "De gravitatione" written between 1665 and 1670 he stated in Definition 15. "Bodies are denser when their inertia is more intense and less so when their inertia is weaker." Apparently, from the get go he never assumed constancy of mass. Among other interesting precursor ideas, he also considered the possibility that light could maybe cause a body to move as the wind causes windmills sails to move. André Michaud You all hang around Newton as if he accomplished something when that numbskull basically mutilated astronomy and I would have as much interest in dealing with his stupidity as I would a flat-Earther which is why the response is designed around making genuine people aware of exactly what Kepler did and how he did it. What Newton did was rob the great astronomers of their insights ,dilute the reasoning behind the difference between geocentricity and the motions of the Earth and insert a weak argument based on forces and what have you - "It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motion of particular bodies from the apparent; because the parts of that absolute space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motion." Newton http://members.tripod.com/~gravitee/...tions.htm#time I have news for you Andre,the main argument which distinguishes apparent retrograde motion (apparent motions) from the actual motions based on an orbitally moving Earth is very much easy to see hence Newton's false premise and conclusion based on the difference between apparent motions and actual motions - "For to the earth planetary motions appear sometimes direct, sometimes stationary, nay, and sometimes retrograde. But from the sun they are always seen direct,..." Newton Let me make things very simple and this is not addressed to you as I know you thoughts on Newton ,when Newton give himself that illegal choice of observer on Earth and the Sun to resolve retrogrades and his views became dominant,astronomy withered as a pursuit.In the early 20th century they expanded on that illegal choice of the late 17th century to an unlimited amount of choices (relativity) thereby the symptoms of the disease truly became manifest. I can go through all the details with ease but now prefer to stick with new and productive things that people can use,trying to bring fresh air to the poisoned discipline of astronomy.Carry on with your hero worship of Newton,humanity has now powerful imaging and time lapse footage to undo most of the damage that numbskull caused and particularly in the dilution of the merit system and what accomplishment really are. That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann *The language of Astronomy is first and foremost geometry,as a person can see,the insight and correlation Kepler drew in respect to orbital periods and distance from the Sun is both easy to understand and enjoyable whereas the contrived version by Newton is basically stitched together with the hope that nobody will notice that it is rubbish or know much about the original insights of astronomers. The thing about this is that there is a tremendous amount of work for dynamicists but they cannot find themselves out of the labyrinth they created and I can only point out so many time where they jump the tracks,take the wrong turn,apply an *inappropriate analogy such as apple/Earth and the myriad of different things which dull astronomy. |
#5
|
|||
|
|||
Gravitational potential for fun and profit
On 6 nov, 13:52, oriel36 wrote:
On Nov 6, 2:39*pm, wrote: On 6 nov, 06:27, oriel36 wrote: On Nov 6, 7:47*am, Dave Typinski wrote: I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. You are absolutely right on this issue. Even in a precursor manuscript work "De gravitatione" written between 1665 and 1670 he stated in Definition 15. "Bodies are denser when their inertia is more intense and less so when their inertia is weaker." Apparently, from the get go he never assumed constancy of mass. Among other interesting precursor ideas, he also considered the possibility that light could maybe cause a body to move as the wind causes windmills sails to move. André Michaud You all hang around Newton as if he accomplished something when that numbskull basically mutilated astronomy and I would have as much interest in dealing with his stupidity as I would a flat-Earther which is why the response *is designed around making genuine people aware of exactly what Kepler did and how he did it. What Newton did was rob the great astronomers of their insights ,dilute the reasoning behind the difference between geocentricity and the motions of the Earth and insert a weak argument based on forces and what have you - "It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motion of particular bodies from the apparent; because the parts of that absolute space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motion." Newton http://members.tripod.com/~gravitee/...tions.htm#time I have news for you Andre,the main argument which distinguishes apparent retrograde motion (apparent motions) from the actual motions based on an orbitally moving Earth is very much easy to see hence Newton's false premise and conclusion based on the difference between apparent motions and actual motions - "For to the earth planetary motions appear sometimes direct, sometimes stationary, nay, and sometimes retrograde. But from the sun they are always seen direct,..." Newton Let me make things very simple and this is not addressed to you as I know you thoughts on Newton ,when Newton give himself that illegal choice of observer on Earth and the Sun to resolve retrogrades *and his views became dominant,astronomy withered as a pursuit.In the early 20th century they expanded on that illegal choice of the late 17th century to an unlimited amount of choices (relativity) thereby the symptoms of the disease truly became manifest. I can go through all the details with ease but now prefer to stick with new and productive things that people can use,trying to bring fresh air to the poisoned *discipline of astronomy.Carry on with your hero worship of Newton,humanity has now powerful imaging and time lapse footage to undo most of the damage that numbskull caused and particularly in the dilution of the merit system and what accomplishment really are. I have no idea why you think I worship Newton as a hero. To me he is just one of the many discoverers of the past. I take from all of them all info that seamlessly integrates together and leave the rest as garbage. I do not even really care who discovered this or that. I care only for overall consistency with observed physical reality. André Michaud That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann *The language of Astronomy is first and foremost geometry,as a person can see,the insight and correlation Kepler drew in respect to orbital periods and distance from the Sun is both easy to understand and enjoyable whereas the contrived version by Newton is basically stitched together with the hope that nobody will notice that it is rubbish or know much about the original insights of astronomers. The thing about this is that there is a tremendous amount of work for dynamicists but they cannot find themselves out of the labyrinth they created and I can only point out so many time where they jump the tracks,take the wrong turn,apply an *inappropriate analogy such as apple/Earth and the myriad of different things which dull astronomy. |
#6
|
|||
|
|||
Gravitational potential for fun and profit
On Nov 6, 9:51*pm, wrote:
On 6 nov, 13:52, oriel36 wrote: On Nov 6, 2:39*pm, wrote: On 6 nov, 06:27, oriel36 wrote: On Nov 6, 7:47*am, Dave Typinski wrote: I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot..htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. You are absolutely right on this issue. Even in a precursor manuscript work "De gravitatione" written between 1665 and 1670 he stated in Definition 15. "Bodies are denser when their inertia is more intense and less so when their inertia is weaker." Apparently, from the get go he never assumed constancy of mass. Among other interesting precursor ideas, he also considered the possibility that light could maybe cause a body to move as the wind causes windmills sails to move. André Michaud You all hang around Newton as if he accomplished something when that numbskull basically mutilated astronomy and I would have as much interest in dealing with his stupidity as I would a flat-Earther which is why the response *is designed around making genuine people aware of exactly what Kepler did and how he did it. What Newton did was rob the great astronomers of their insights ,dilute the reasoning behind the difference between geocentricity and the motions of the Earth and insert a weak argument based on forces and what have you - "It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motion of particular bodies from the apparent; because the parts of that absolute space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motion." Newton http://members.tripod.com/~gravitee/...tions.htm#time I have news for you Andre,the main argument which distinguishes apparent retrograde motion (apparent motions) from the actual motions based on an orbitally moving Earth is very much easy to see hence Newton's false premise and conclusion based on the difference between apparent motions and actual motions - "For to the earth planetary motions appear sometimes direct, sometimes stationary, nay, and sometimes retrograde. But from the sun they are always seen direct,..." Newton Let me make things very simple and this is not addressed to you as I know you thoughts on Newton ,when Newton give himself that illegal choice of observer on Earth and the Sun to resolve retrogrades *and his views became dominant,astronomy withered as a pursuit.In the early 20th century they expanded on that illegal choice of the late 17th century to an unlimited amount of choices (relativity) thereby the symptoms of the disease truly became manifest. I can go through all the details with ease but now prefer to stick with new and productive things that people can use,trying to bring fresh air to the poisoned *discipline of astronomy.Carry on with your hero worship of Newton,humanity has now powerful imaging and time lapse footage to undo most of the damage that numbskull caused and particularly in the dilution of the merit system and what accomplishment really are. I have no idea why you think I worship Newton as a hero. To me he is just one of the many discoverers of the past. Newton is little more than junk merchant who knew his audience so forget about his 'discoveries',whatever they are he had no competence in astronomy,its methods and its insights and you will not dare argue with me point for point on even basic astronomical precepts,premises and conclusions. I take from all of them all info that seamlessly integrates together and leave the rest as garbage. The garbage preceded Newton,specifically the so-called 'predictive' Equatorial coordinate system created by John Flamsteed and on which Isaac hung his forces/laws agenda ,a nasty astrological framework that bypasses geocentricity in its descent into a dull dismal place as remote from astronomy as a person or line of reasoning can possibly get. I do not even really care who discovered this or that. I care only for overall consistency with observed physical reality. Fine word that 'reality',it gets thrown around quite a bit but I have little use for anything only geometric arguments and sadly,your responses do not contain any.If I ask you the most basic astronomical question you will give the wrong answer such as what is the value for daily rotation through 360 degrees ?. André Michaud You are welcome to remain in the late 17th century with Isaac but this 21st century person doesn't think much of musty 'universal laws of gravitation',an astrological concept that appeals to the vacuous or the outright dumb who know no better. That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann *The language of Astronomy is first and foremost geometry,as a person can see,the insight and correlation Kepler drew in respect to orbital periods and distance from the Sun is both easy to understand and enjoyable whereas the contrived version by Newton is basically stitched together with the hope that nobody will notice that it is rubbish or know much about the original insights of astronomers. The thing about this is that there is a tremendous amount of work for dynamicists but they cannot find themselves out of the labyrinth they created and I can only point out so many time where they jump the tracks,take the wrong turn,apply an *inappropriate analogy such as apple/Earth and the myriad of different things which dull astronomy.. |
#7
|
|||
|
|||
Gravitational potential for fun and profit
On 6 nov, 16:21, oriel36 wrote:
On Nov 6, 9:51*pm, wrote: On 6 nov, 13:52, oriel36 wrote: On Nov 6, 2:39*pm, wrote: On 6 nov, 06:27, oriel36 wrote: On Nov 6, 7:47*am, Dave Typinski wrote: I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. You are absolutely right on this issue. Even in a precursor manuscript work "De gravitatione" written between 1665 and 1670 he stated in Definition 15. "Bodies are denser when their inertia is more intense and less so when their inertia is weaker." Apparently, from the get go he never assumed constancy of mass. Among other interesting precursor ideas, he also considered the possibility that light could maybe cause a body to move as the wind causes windmills sails to move. André Michaud You all hang around Newton as if he accomplished something when that numbskull basically mutilated astronomy and I would have as much interest in dealing with his stupidity as I would a flat-Earther which is why the response *is designed around making genuine people aware of exactly what Kepler did and how he did it. What Newton did was rob the great astronomers of their insights ,dilute the reasoning behind the difference between geocentricity and the motions of the Earth and insert a weak argument based on forces and what have you - "It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motion of particular bodies from the apparent; because the parts of that absolute space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motion." Newton http://members.tripod.com/~gravitee/...tions.htm#time I have news for you Andre,the main argument which distinguishes apparent retrograde motion (apparent motions) from the actual motions based on an orbitally moving Earth is very much easy to see hence Newton's false premise and conclusion based on the difference between apparent motions and actual motions - "For to the earth planetary motions appear sometimes direct, sometimes stationary, nay, and sometimes retrograde. But from the sun they are always seen direct,..." Newton Let me make things very simple and this is not addressed to you as I know you thoughts on Newton ,when Newton give himself that illegal choice of observer on Earth and the Sun to resolve retrogrades *and his views became dominant,astronomy withered as a pursuit.In the early 20th century they expanded on that illegal choice of the late 17th century to an unlimited amount of choices (relativity) thereby the symptoms of the disease truly became manifest. I can go through all the details with ease but now prefer to stick with new and productive things that people can use,trying to bring fresh air to the poisoned *discipline of astronomy.Carry on with your hero worship of Newton,humanity has now powerful imaging and time lapse footage to undo most of the damage that numbskull caused and particularly in the dilution of the merit system and what accomplishment really are. I have no idea why you think I worship Newton as a hero. To me he is just one of the many discoverers of the past. Newton is little more than *junk merchant who knew his audience so forget about his 'discoveries',whatever they are he had no competence in astronomy,its methods and its insights and you will not dare argue with me point for point on even basic astronomical precepts,premises and conclusions. I take from all of them all info that seamlessly integrates together and leave the rest as garbage. The garbage preceded Newton,specifically the so-called *'predictive' Equatorial coordinate system created by John Flamsteed and on which Isaac hung his forces/laws agenda ,a nasty astrological framework that bypasses geocentricity in its descent into a dull dismal place as remote from astronomy as a person or line of reasoning can possibly get. *I do not even really care who discovered this or that. I care only for overall consistency with observed physical reality. Fine word that 'reality',it gets thrown around *quite a bit but I have little use for anything only geometric arguments and sadly,your responses do not contain any. If I ask you the most basic astronomical question you will give the wrong answer such as what is the value for daily rotation through 360 degrees ?. André Michaud You are welcome to remain in the late 17th century with Isaac but this 21st century person doesn't think much of musty 'universal laws of gravitation',an astrological concept that appeals to the vacuous or the outright dumb who know no better. I don't understand why you are so angry. To me there is no universal law of gravitation. There is only electromagnetic interaction between fundamental elementary scatterable particles. Nothing else is required in the 3-spaces geometry to explain everything. From my perspective, there is no discontinuity between the fundamental elementary scatterable particles level and the macro level. So-called "universal law of gravitation" is just a macro perspective of what happens at the elementary particles level. I care only for what seems coherent, and leave argument about who is right or wrong to others. Well, I don't expect you understand what I am talking about anyway. André Michaud That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann *The language of Astronomy is first and foremost geometry,as a person can see,the insight and correlation Kepler drew in respect to orbital periods and distance from the Sun is both easy to understand and enjoyable whereas the contrived version by Newton is basically stitched together with the hope that nobody will notice that it is rubbish or know much about the original insights of astronomers. The thing about this is that there is a tremendous amount of work for dynamicists but they cannot find themselves out of the labyrinth they created and I can only point out so many time where they jump the tracks,take the wrong turn,apply an *inappropriate analogy such as apple/Earth and the myriad of different things which dull astronomy. |
#8
|
|||
|
|||
Gravitational potential for fun and profit
On Nov 6, 11:15*pm, wrote:
On 6 nov, 16:21, oriel36 wrote: On Nov 6, 9:51*pm, wrote: On 6 nov, 13:52, oriel36 wrote: On Nov 6, 2:39*pm, wrote: On 6 nov, 06:27, oriel36 wrote: On Nov 6, 7:47*am, Dave Typinski wrote: I saw a neat article in "The Physics Teacher" last month that had a nice plot of the gravitational potential within the inner solar system. So, I decided to play. *For my troubles, I got a better understanding of just what the heck a potential is in the first place--at least in the one dimensional case--and made some cool plots. Here's the result.http://home.alltel.net/trapezium/Essays/GravPot.htm Corrections invited, as always. -- Dave Well,for a start,the premises and conclusions are all wrong and for people who haven't a clue what Newton did or those who know no better,let me explain a few things. Lets look at what he said about orbital motion - 'PHÆNOMENON IV. ' "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun." Newton To an empiricist it does not matter whether it is junk and it is junk,it only matters that the underpinning astronomical arguments are gotten rid of so that planetary motion can be treated like the behavior of an apple.The actual statement of Kepler is quite different and for an astronomer,quite a joy to behold - "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 A more gentle version is one almost anyone can 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 Astronomers work with geometric precision whereas the victory of empiricism is promoting the idea that an equational treatment based on loss correlations are accurate when they are not.How many here have heard the statement - f=ma,well Newton never said it,to quote a participant - "I challenge anyone to quote a single, solitary place where Newton in the Principia or elsewhere said F=ma. He was much too careful a man to assume the constancy of mass and never, but never, went beyond F = d(mv)/dt and never took the m out of the parenthesis as constant. You are absolutely right on this issue. Even in a precursor manuscript work "De gravitatione" written between 1665 and 1670 he stated in Definition 15. "Bodies are denser when their inertia is more intense and less so when their inertia is weaker." Apparently, from the get go he never assumed constancy of mass. Among other interesting precursor ideas, he also considered the possibility that light could maybe cause a body to move as the wind causes windmills sails to move. André Michaud You all hang around Newton as if he accomplished something when that numbskull basically mutilated astronomy and I would have as much interest in dealing with his stupidity as I would a flat-Earther which is why the response *is designed around making genuine people aware of exactly what Kepler did and how he did it. What Newton did was rob the great astronomers of their insights ,dilute the reasoning behind the difference between geocentricity and the motions of the Earth and insert a weak argument based on forces and what have you - "It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motion of particular bodies from the apparent; because the parts of that absolute space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motion." Newton http://members.tripod.com/~gravitee/...tions.htm#time I have news for you Andre,the main argument which distinguishes apparent retrograde motion (apparent motions) from the actual motions based on an orbitally moving Earth is very much easy to see hence Newton's false premise and conclusion based on the difference between apparent motions and actual motions - "For to the earth planetary motions appear sometimes direct, sometimes stationary, nay, and sometimes retrograde. But from the sun they are always seen direct,..." Newton Let me make things very simple and this is not addressed to you as I know you thoughts on Newton ,when Newton give himself that illegal choice of observer on Earth and the Sun to resolve retrogrades *and his views became dominant,astronomy withered as a pursuit.In the early 20th century they expanded on that illegal choice of the late 17th century to an unlimited amount of choices (relativity) thereby the symptoms of the disease truly became manifest. I can go through all the details with ease but now prefer to stick with new and productive things that people can use,trying to bring fresh air to the poisoned *discipline of astronomy.Carry on with your hero worship of Newton,humanity has now powerful imaging and time lapse footage to undo most of the damage that numbskull caused and particularly in the dilution of the merit system and what accomplishment really are. I have no idea why you think I worship Newton as a hero. To me he is just one of the many discoverers of the past. Newton is little more than *junk merchant who knew his audience so forget about his 'discoveries',whatever they are he had no competence in astronomy,its methods and its insights and you will not dare argue with me point for point on even basic astronomical precepts,premises and conclusions. I take from all of them all info that seamlessly integrates together and leave the rest as garbage. The garbage preceded Newton,specifically the so-called *'predictive' Equatorial coordinate system created by John Flamsteed and on which Isaac hung his forces/laws agenda ,a nasty astrological framework that bypasses geocentricity in its descent into a dull dismal place as remote from astronomy as a person or line of reasoning can possibly get. *I do not even really care who discovered this or that. I care only for overall consistency with observed physical reality. Fine word that 'reality',it gets thrown around *quite a bit but I have little use for anything only geometric arguments and sadly,your responses do not contain any. If I ask you the most basic astronomical question you will give the wrong answer such as what is the value for daily rotation through 360 degrees ?. André Michaud You are welcome to remain in the late 17th century with Isaac but this 21st century person doesn't think much of musty 'universal laws of gravitation',an astrological concept that appeals to the vacuous or the outright dumb who know no better. I don't understand why you are so angry. To me there is no universal law of gravitation Good,there was nothing to build on except an astrological 'prediction' system ,just an artifice of the calendar system where Isaac tried to squeeze the celestial arena and the motions of the Earth into the equable 365/366 day system instead of the astronomically correct 365 days 5 hours 49 minutes. The guys in sci.astro.amateur have been boxed in for years with nothing to say while the rest of the forum is seeing the original astronomical insights restored using modern imaging,graphics and whatever else is at hand,they can even add a new motion the Earth with respect to the central Sun. André Michaud That was done by the guesswork-loving intuitive physicists who lived after him. Of course, the Principia are not written in the language of algebra, but of geometry." Petr Beckmann *The language of Astronomy is first and foremost ... read more » |
Thread Tools | |
Display Modes | |
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
@@@Best Profit Business@@@ | chrisprabu | Amateur Astronomy | 0 | July 23rd 08 11:51 AM |
Queries on possible Mp/Me variation with gravitational potential | [email protected] | Research | 0 | October 18th 05 09:06 AM |
CATS Profit and competition | [email protected] | Policy | 1 | July 15th 04 03:44 AM |
For Profit | Old Physics | Policy | 16 | June 2nd 04 02:04 AM |