Daily Report 18/2/17

The equivalent of 105,426 printed pages was downloaded (384.385 megabytes) from 2,083 downloaded memory files and 416 distinct visits, each averaging 4.5 memory pages and 9 minutes, printed pages to hits ratio of 50.61, top ten referrals total of 2,210,376, main spiders Google, MSN and Yahoo. Collected ECE2 858, Top ten 696, Collected Evans / Morris 594, Collected scientometrics 403, F3(Sp) 234, Barddoniaeth 166, Principles of ECE 117, Eckardt / Lindstrom 100, Collected Proofs 66, Autobiography volumes one and two 64, Engineering Model 59, UFT88 47, Evans Equations 46 (est), PECE 37, UFT311 35, CEFE 33, ECE2 30, Self charging inverter 25, UFT321 17, Llais 16, PLENR 10, UFT313 14, UFT314 14, UFT315 11, UFT316 13, UFT317 24, UFT318 12, UFT319 16, UFT320 13, UFT322 16, UFT323 12, UFT324 13, UFT325 17, UFT326 14, UFT327 14, UFT328 21, UFT329 17, UFT330 11, UFT331 16, UFT332 11, UFT333 17, UFT334 11, UFT335 13, UFT336 9, UFT337 13, UFT338 10, UFT339 9, UFT340 10, UFT341 16, UFT342 8, UFT343 12, UFT344 17, UFT345 11, UFT346 11, UFT347 13, UFT348 11, UFT349 14, UFT351 15, UFT352 22, UFT353 18, UFT354 20, UFT355 11, UFT356 18, UFT357 19, UFT358 15, UFT359 17, UFT360 13, UFT361 11, UFT362 19, UFT363 17, UFT364 19, UFT365 12, UFT366 30, UFT367 33, UFT368 33, UFT369 32 to date in Februrary 2017. University of Pittsburg Home page; Kocaeli University Turkey extensive UFT section; Jesus College Oxford UFT166. Intense interest all sectors updated usage file attached for February 2017.

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Many thanks

Many thanks again to Dave Burleigh!

To: EMyrone@aol.com
Sent: 20/02/2017 05:40:29 GMT Standard Time
Subj: Re: FOR POSTING: UFT370 Sections 1 and 2 and Background Notes

Done today

Dave

On 2/19/2017 6:50 AM, EMyrone wrote:

These are sections 1 and 2 of UFT370 , entitled “Cartan Geometry and the Gyroscope”. The paper defines the Cartan spin connection of classical rotational dynamics in general, and several examples are worked out for the nutations and precessions of the freely rotating asymmetric top, and for the asymmetric top subjected to an external torque. Full details are given in extensive calculations in the accompanying notes, calculations which have all been checked by computer algebra as usual. Both the Euler angles and spherical polar coordinates are used. Section 3 is pencilled in for computations and graphics by co author Dr. Horst Eckardt, and for his dumbbell model of the nutations and precessions of the earth in orbit around the sun. This may lead to a more complete theory of the Milankowitch cycles. With the theory of this paper, the Laithwaite and Shipov experiments can be fully understood and simulated by a desktop computer.

FOR POSTING: UFT370 Sections 1 and 2 and Background Notes

These are sections 1 and 2 of UFT370 , entitled “Cartan Geometry and the Gyroscope”. The paper defines the Cartan spin connection of classical rotational dynamics in general, and several examples are worked out for the nutations and precessions of the freely rotating asymmetric top, and for the asymmetric top subjected to an external torque. Full details are given in extensive calculations in the accompanying notes, calculations which have all been checked by computer algebra as usual. Both the Euler angles and spherical polar coordinates are used. Section 3 is pencilled in for computations and graphics by co author Dr. Horst Eckardt, and for his dumbbell model of the nutations and precessions of the earth in orbit around the sun. This may lead to a more complete theory of the Milankowitch cycles. With the theory of this paper, the Laithwaite and Shipov experiments can be fully understood and simulated by a desktop computer.

a370thpaper.pdf

a370thpapernotes1.pdf

a370thpapernotes2.pdf

a370thpapernotes3.pdf

a370thpapernotes4.pdf

a370thpapernotes5.pdf

a370thpapernotes6.pdf

a370thpapernotes7.pdf

a370thpapernotes8.pdf

a370thpapernotes9.pdf

Daily Report 17/2/17

The equivalent of 97,733 printed pages was downloaded (356.334 megabytes) from 2,526 downloaded memory files (hits) and 394 distinct visits each averaging 5.5 memory pages and 9 minutes, printed pages to hits ratio of 38.69, top ten referrals total of 2,210,189, main spiders Google, MSN and Yahoo. Collected ECE2 830, Top ten 658, Collected Evans / Morris papers 561(est), Collected scientometrics 393, F3(Sp) 214, Barddoniaeth 161, Principles of ECE 115, Collected Eckardt / Lindstrom Papers 73, Collected Proofs 71, Engineering Model 58, Autobiography volumes one and two 58, Evans Equations 46, UFT88 44, PECE 36, UFT311 34, CEFE 33, ECE2 28, Self charging inverter 24, UFT321 15, Llais 15, PLENR 10(est), UFT313 14, UFT314 13, UFT315 11, UFT316 13, UFT317 24, UFT318 12, UFT319 16, UFT320 13, UFT322 15, UFT323 10, UFT324 12, UFT325 16, UFT326 13, UFT327 13, UFT328 21, UFT329 17, UFT330 11, UFT331 16, UFT332 11, UFT333 17, UFT334 11, UFT335 13, UFT336 9, UFT337 12, UFT338 8, UFT339 9, UFT340 10, UFT341 16, UFT342 8, UFT343 12, UFT344 17, UFT345 11, UFT346 11, UFT347 12, UFT348 10, UFT349 12, UFT351 15, UFT352 21, UFT353 17, UFT354 20, UFT355 10, UFT356 18, UFT357 19, UFT358 15, UFT359 17, UFT360 11, UFT361 11, UFT362 18, UFT363 16, UFT364 18, UFT365 12, UFT366 28, UFT367 30, UFT368 33, UFT369 32 to date in February 2017. City of Winnipeg UFT papers; Faculty of Engineering University of Windsor UFT213; City University of Hong Kong UFT6; University of Sussex general. Intense interest all sectors, updated usage file attached for February 2017.

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370(9): Orbital Kinetic Energy and Lagrangian

Thie note expresses any three dimensional orbital motion of m around M in terms of the orbital spherical polar coordinates, Eqs. (18) to (22), and in terms of orbital Euler angles, Eqs. (24) to (28). These equations give the nutations and precessions of the centre of mass of the orbiting object. A three dimensional orbit is much more intricate than a two dimensional orbit. In addition to the orbital kinetic energy there is a spin kinetic energy due to the internal nutations and precessions of the object in orbit. This internal or rotational kinetic energy is 1/2 sigma I sub i omega squared sub i, i = 1, 2, 3, where I sub i are the three principal moments of inertia and omega sub i the angular velocities in the internal frame of the object (e.g. the planet Earth in orbit around the sun). Either the spherical polar coordinates or the Euler angles can be used. In the former case tehre are five Lagrange variables in general, three for the orbit, and two for the rotational kinetic energy. In the latter case there are seven Lagrange variables, four for the orbit and three for the internal or rotational kinetic energy. If the orbit is considered to be planar the number of Lagrange variables is reduced because plane polar coordinates can be used for the orbit. These sets of simultaneous differential equations can be solved by Maxima, giving all the information needed for any problem, for example the Milankovitch cycles, and a gyroscope subjected to an external force or torque. It is matter of setting up and defining the lagrangian, and identifying the Lagrange variables. In principle this is straightforward, and the Maxima code gives all the solutions in tems of various trajectories. This is the great advantage of the code.

a370thpapernotes9.pdf

Daily Report 16/2/17

The equivalent of 86,888 printed pages was downloaded (316.795 megabytes) from 2,515 downloaded memory files (hits) and 497 distinct visits each averaging 3.9 memory pages and 6 minutes, printed pages to hits ratio of 34.55, top ten referrals total 2,210,042, main spiders Google, MSN and Yahoo. Collected ECE2 752, Top ten 629, Evans / Morris 528(est), Collected scientometrics 369, F3(Sp) 206, Barddoniaeth 153, Principles of ECE 105, Eckardt / Lindstrom 87, Collected Proofs 58, Engineering Model 52, UFT88 41, PECE 34, UFT311 33, CEFE 31, Evans Equations 28, ECE2 27, Self charging inverter 23, Llais 14, UFT321 14, PLENR 10, UFT313 15, UFT314 12, UFT315 10, UFT316 12, UFT317 19, UFT318 11, UFT319 14, UFT320 11, UFT322 13, UFT323 8, UFT324 11, UFT325 14, UFT326 12, UFT327 12, UFT328 20, UFT329 16, UFT330 8, UFT331 13, UFT332 10, UFT333 14, UFT334 9, UFT335 11, UFT336 8, UFT337 11, UFT338 6, UFT339 8, UFT340 9, UFT341 14, UFT342 7, UFT343 11, UFT344 15, UFT345 9, UFT346 10, UFT347 11, UFT348 9, UFT349 11, UFT351 14, UFT352 20, UFT353 15, UFT354 19, UFT355 8, UFT356 17, UFT357 17, UFT358 12, UFT359 16, UFT360 10, UFT361 10, UFT362 17, UFT363 15, UFT364 17, UFT365 11, UFT366 27, UFT367 27, UFT368 31, UFT369 29 to date in February 2017. City of Winnipeg UFT section, University of Quebec Trois Rivieres UFT366 – UFT369; University of Aarhus Denmark UFT114; Arizona State University Homopolar; Cornell University UFT42; Pennsylvania State University general; Texas A and M University UFT128; University of Chicago general; United States Naval Academy UFT149; Institute for Advanced Scientific Studies University of Paris Saclay Criticism of Vacuum Big Bang by Stephen Crothers; City University of Hong Kong UFT4; Bose Institute Calcutta UFT88; INFN Padua UFT175 (Italian National Institute for Nuclear Physics); Sony Corporation general; Philippines National Electrification Administration general. Intense interest all sectors, updated usage file attached for February 2017.

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Plans for UFT370

I intend to write up Horst’s calculation as a Note, and develop frame transformations with the novel spin connection matrix discovered in UFT369 and UFT370, then write up my Sections 1 and 2. Those who can read the access report every morning can see hundreds of UFT papers all being studied, including all fifty five UFT books and papers to date. There is no further strategic impediment to the advance of ECE and ECE2. Indeed they are familiar mainstream ideas in physics. ” ……..on ne resist pas a l’invasion des idees” (Victor Hugo). As General Patton was fond of saying something as follows: a static defence is one of the follies of mankind. It can be outflanked and small pockets of resistance left behind. He was descended from General Hugh Mercer of the Revolutionary War. I know that Patton was wild and difficult and careless of lives, but this saying shows how futile it is to try to order the tide not to come in. Your boots just fill with obsolete water – yesterday’s snow.