12_24 hr Sidereal day Re: r-sec & 11-Hour Clock Re: Workin' on radian time

classic Classic list List threaded Threaded
2 messages Options
Reply | Threaded
Open this post in threaded view
|

12_24 hr Sidereal day Re: r-sec & 11-Hour Clock Re: Workin' on radian time

Brij Bhushan Vij
Derek & all:
>It would seem your measure of 32.7273 is probably more accurate and
>correct, but this genesis calendar was designed to be a calendar for a
>world agricultural and farming culture following the path/cycle of the sun
>and its 11 "sunburst" cycles,.....
Thanks, Derek! 12-hr clock is imbedded into humans (our minds) that any
amount of coaxing is NOT likely to find its way down to common man. However,
I showed the possibility to divide the HOUR into any number of parts: so
long as this is linked to the HOUR-Angle & hence its further division as the
Earth spins in its axis (to detremine local time). Realising this: I changed
my stand to revert from 4x100-metric degree (gon) quadrant to the EXISTING
90-degree quadrant; and establish the *decimal linkage - of HOUR and
Degree*.
I have MY reasons to doubt that it was the 'malafied intentions' of
political forces during French Replican Reform for 'time & calendar' that
Length Unit - 'Metre, m' was NOT TIED to the base unit for Time - the
'second, s'. It is now TIME to do the rectifying - so advancement in
astronomy does NOT suffer!
Regards,
Brij Bhushan Vij
(Tuesday, Kali 5107-W08-02)/265+D-159 (Wednesday, 2006 June
07H14:98(decimal) ET
Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda
Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30
Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30
(365th day of Year is World Day)
******As per Kali V-GRhymeCalendaar*****
"Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai"
Contact # 001(201)675-8548


>From: "derek winder" <[hidden email]>
>To: "Brij Bhushan Vij" <[hidden email]>
>Subject: Re: r-sec & 11-Hour Clock Re: Workin' on radian time
>Date: Wed, 7 Jun 2006 14:05:41 +0100
>
>Brij
>I was checking the following which you have wrote and it does appear to fit
>the expression 2 (PI) pillars of Hercules/Heracles as shown in genesis
>image a combination of secular/linear Metric time measure.
>
>>If Earth were to remain 2Pi 'radians', the HOUR-angle would be
>>32.7273-degree.
>
>On has always to use 2 digits of measure :-
>
>the first Cycle measure of  2 digits 32 is dividable by 6 "cycle/days"
>the next ratio measure of  2 digits 72 is dividable by 6 giving 12
>ratio/hours.
>the next ratio measure of  2 digits 73 is dividable by 5 and 9 producing
>14.6 and 8.1111111(cycle~ratio) (2*7"ratio/days" and 2*4"sectors") so in
>geo/circle/cycle terms overall it fits 6 ~7 day.. EXACTLY!.
>
>This would also produce a divided/split 360 degree circle producing a
>2*6=12hour, 60min circle of time
>
>If you multiply the numbers accumulative you get 6*6*7*4=10008 cycles based
>on a 5*9=45 degree angle, divide 10008 by 33 angle (solar measure) which
>will produce  30.54 54 55 which are 30 days in a month over  3*3
>ratio/cycle yrs of 54 weeks, 54 weeks,and finally a 55 week, which can be
>divided again by the solar value11 (2*PI) to produce 5, or in expansion by
>the moon 55*.5=27.5 (lunar).
>
>This 2 (PI) 3*3 cycle/ratio with solar 11 combination produces the  
>combined "celestial" earth measure image of the sun, moon and earth.
>3*3=9*11=99, all it requires therefore is 1 day to be "world day" to fit
>100 to 1000+8cycle/hrs/yrs of time. The 8 is the measure of the hour and
>the sectors in the circle which are added to 45 degree (1000/8=125/5)=25deg
>"shift in time" to produce the genesis "optimum" value (45+25)=70.
>
>The actual value in degrees therefore in genesis is 32.6 because
>54+54+55=163/5=32.6 as in the 6 days of creation (32/6=5.3333333) it just
>takes 7 ratio cycle/days (7*3*7)=147/5=24.5hrs to bring it about on a split
>12~24 hour basis using the (.5).
>
>It would seem your measure of 32.7273 is probably more accurate and
>correct, but this genesis calendar was designed to be a calendar for a
>world agricultural and farming culture following the path/cycle of the sun
>and its 11 "sunburst" cycles,  simply by using 3 levels forming
>symbols/signs geometricaly combined as in the image which would be
>understood "visual" as in the created life forms"creatures" and their
>"seasons" as one can see in the image, its only when you do the numbers
>involved in the cycles that the TIME aspect becomes more understood, but
>most people don't want to be bothered with that.
>
>My instinct and senses now tell me this image is connected with early
>India/Egypt and was somehow derived from a projection onto the wall in the
>Map room in the great pyramid where it could be observed and recorded on
>paper throughout the year by astrologers/astronomers to determine the
>moments in the seasons based on the alignment of the sun, moon and the path
>of the star Sirius, combined together it forms the "selestial" image of
>what one sees as on earth, so one has a sun, moon, star,  EARTH chart.
>
>Derek
>
>
>----- Original Message ----- From: "Brij Bhushan Vij"
><[hidden email]>
>To: <[hidden email]>
>Sent: Wednesday, May 31, 2006 3:54 PM
>Subject: r-sec & 11-Hour Clock Re: Workin' on radian time
>
>
>>Lance, group:
>>>>Since it's possible that not everyone has had an
>>>opportunity to work on this yet, I won't spoil it by
>>>revealing a full set of answers, but I'll release a
>>>solution for the original problem. That solution,
>>>applied to the 24-hour clock, leads to the general
>>>equation to which I referred earlier.
>>It is NOT difficult to achieve what Lance has in mind - BUT to what
>>advantage? Our minds are set to use 24-hour clock work and 2 Pi radian
>>imbedded into our 'conceptions'. For any New adventure, we must be clear
>>that any system can be made to work so long as we are 'linking' the *NEW
>>TIME UNIT WITH THE NEW LENGTH UNIT* for our clock mechanisms to work for
>>astro-calendaric calculations! I show this as:
>>Radian Time: 86400/22 sec =3927.273 sec =65.455 min =1hr 5m 27s.273
>>[1s=9,192,631,770 cs-133]
>>1. 65.455 min =1hr 5m 27s.273 2. 130.91min =2h 10m 54s.6
>>3. 196.365 min =3h 16m 21s.9 4. 261.82 min =4h 21m 49s.2
>>5. 327.275 min=5h 27m 16s.5 6. 392.73 min =6h 32m 43s.8
>>7. 458.185 min =7h 38m 11s.1 8. 523.64 min =8h 43m 38s.4
>>9. 589.095 min =9h 49m 05s.7 10. 654.55 min =10h 54m 33s
>>11. 720.005 min =12-HOURS [Note: the difference of 0.3 sec is due to
>>TRUNCATION].
>>The 11-Hour Clock can have HOUR-angle =43200/11 atomic-seconds (or r-sec).
>>     Thus, r-sec can be defined as: *1/110000th  of the atomic day =0.7855
>>s or (72120374745 cs-133~]. If Earth were to remain 2Pi 'radians', the
>>HOUR-angle would be 32.7273-degree.
>>If a REFORM of 'time & calendar is desired' our thoughts must be practical
>>from view point of a man-on-street and that: what this costs to tax-payer?
>>Regards,
>>Brij Bhushan Vij
>>(Tuesday, Kali 5107-W07-02)/265+D-152 (Wednesday, 2006 May
>>31H10:88(decimal) ET
>>Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda
>>Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30
>>Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30
>>(365th day of Year is World Day)
>>******As per Kali V-GRhymeCalendaar*****
>>"Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai"
>>Contact # 001(201)675-8548
>>
>>
>>>From: Lance Latham <[hidden email]>
>>>Reply-To: East Carolina University Calendar discussion List
>>><[hidden email]>
>>>To: [hidden email]
>>>Subject: Re: Workin' on radian time
>>>Date: Wed, 31 May 2006 06:37:05 -0700
>>>
>>>Group -
>>>
>>>Since it's possible that not everyone has had an
>>>opportunity to work on this yet, I won't spoil it by
>>>revealing a full set of answers, but I'll release a
>>>solution for the original problem. That solution,
>>>applied to the 24-hour clock, leads to the general
>>>equation to which I referred earlier.
>>>
>>>Here goes.
>>>
>>>The 12-hour clock represents a 12-hour period. There
>>>are 2*pi radians in the circle of the clock face, so
>>>the hour mark '1' is at an angle:
>>>
>>>    theta = 2*pi   = pi
>>>            ----    ---- radians
>>>             12       6
>>>
>>>from the position marked '12'.
>>>
>>>The angular speed of the hour hand, H, is therefore:
>>>
>>>   rH = pi/6 rad/hr
>>>
>>>Measured in minutes, rH = pi/360 rad/min.
>>>
>>>The corresponding angle for the minute hand, M,
>>>represents 5 minutes, so the angular speed of M is:
>>>
>>>    rM = pi/6 * 1/5 rad = pi/30 rad/min
>>>
>>>There are several methods for proceeding to a
>>>solution. Perhaps the easiest one goes like this. One
>>>wishes to solve for the exact time when H and M
>>>overlap for the first case, 1:05. Draw a straight line
>>>that represents the distance 'd' around the clock
>>>face.
>>>
>>>   '12'           '1'
>>>    P0             P1         P2
>>>    |--------------|-----------|-------------> d
>>>
>>>The distances do not have to be to scale. One knows
>>>that the distance (P1 - P0) = pi/6 radians. The
>>>distance (P2 - P1) can be called 'x'. Initially, set M
>>>to P0 and H to P1, to represent the time 1:00.
>>>
>>>One wishes to advance M at rate rM from P0, and H at
>>>rate rH from P1 until M overtakes H at point P2. The
>>>difference 'x' represents the time past 1:05 consumed
>>>by H while M catches up.
>>>
>>>A solution for 'x' can be had by setting up 2
>>>equations. Since M and H must both arrive at P2
>>>simultaneously, they spend the same amount of time 't'
>>>to do so. Thus one may write:
>>>
>>>    t = x / (pi/360) for H
>>>
>>>and
>>>
>>>    t = (pi/6 + x) / (pi/30)
>>>
>>>using the identity:
>>>
>>>    time = distance / rate
>>>
>>>for both M and H, using their respective distances and
>>>rates.
>>>
>>>One then has the equation of the two, which can be
>>>solved for 'x', which turns out to be:
>>>
>>>    x = 5*pi/330  or pi/66
>>>
>>>Thus the entire distance (P2 - P0) is:
>>>
>>>    d = pi/6 + x
>>>
>>>which turns out to be 0.571199 radians.
>>>
>>>Since 1 radian = 6/pi hours, the conversion from
>>>radians to decimal hours is trivial, yielding the
>>>result:
>>>
>>>    D = (6/pi) * d = 1.09090909... hours
>>>
>>>which can then be easily converted to HMS format to
>>>yield the final result of:
>>>
>>>    1:05:27, rounded to the nearest second.
>>>
>>>This is the exact moment (to the nearest second) when
>>>M overtakes H and aligns with it.
>>>
>>>Some hints for further solution follow below.
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>1. Work the second case for clock time 2:11. From the
>>>result, one should be able to deduce a simple formula
>>>for calculating the H-M match times for any hour 'h'
>>>for a 12-hour clock. (Variable 'h' has values
>>>1,2,...11 for a 12-hour clock.)
>>>
>>>2. Work the first case for a 24-hour clock, i.e., when
>>>do H and M align on a 24-hour clock, using the method
>>>described, starting with H at '1', M at '12'.
>>>
>>>3. From the result, one should be able to deduce a
>>>simple formula to predict decimal hours, D, from 'h'
>>>for an N-hour clock.
>>>
>>>Good hunting!
>>>
>>>-Lance
>>>
>>>
>>>Lance Latham
>>>[hidden email]
>>>Phone:    (518) 274-0570
>>>Address: 78 Hudson Avenue/1st Floor, Green Island, NY 12183
>>>
>>>
>>>
>>>
>>>
>>>__________________________________________________
>>>Do You Yahoo!?
>>>Tired of spam?  Yahoo! Mail has the best spam protection around
>>>http://mail.yahoo.com
>>
>>
>>
>>
>>--
>>No virus found in this incoming message.
>>Checked by AVG Free Edition.
>>Version: 7.1.394 / Virus Database: 268.8.0/352 - Release Date: 30/05/2006
>>
>
Reply | Threaded
Open this post in threaded view
|

Re: 12_24 hr Sidereal day Re: r-sec & 11-Hour Clock Re: Workin' on radian time

Brij Bhushan Vij
Derek:
>I get the same result.!!
Yes, in the TWO situations you shall get the same result; and I left 'gon'
behind since buyers for the Reform of Metrication for Time, were not coming
forwards. AND, today I observe infringment or an attempt NOT to grant me the
credit for my research - just becuase I am an AUTODIDACT or my affordability
to school/college lacked, especially when we had left all our belongings at
Lahore (now, Pakistan) as a child of 11-yrs; and wander my childhood in
wilderness.
The fire in me to be educated kept me going and I STOPPED NOT TO ATTEMPT AND
REACH TO TALK OF A POSSIBLE WORLD CALENDAR, fulfilling the needs of
tomorrow's society!
Yes, I lost my tears when my father died on 14th Januray 1964 who did see my
an Engineer. I do not mean to be sentimental. It is only sharing my thought
with YOU - why, ask yourself?
Regards,
Brij Bhushan Vij
(Wednesday, Kali 5106-W08-03)/D-160(Thursday, 2006 Jun 08H15:71 (decimal) ET
Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda
Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30
Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30
(365th day of Year is World Day)
******As per Kali V-GRhymeCalendaar*****
"Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai"
Contact # 001(201)675-8548

>From: "derek winder" <[hidden email]>
>To: "Brij Bhushan Vij" <[hidden email]>
>Subject: Re: 12_24 hr Sidereal day Re: r-sec & 11-Hour Clock Re: Workin' on
>radian time
>Date: Thu, 8 Jun 2006 14:21:05 +0100
>
>Brij,
>Yes i believe your right, i have always known genesis to be accurate it
>just depends on the purpose one is using it for, which obviously its not to
>measure time to the nearest Time hour angle sec possible, its mainly for
>the purpose of  measuring/ballancing out the length of the "seasons" over a
>period of time using the suns precessional movement and the linnear "line"
>metre "hour" and cecular "arc" imperial  measure"quadrant".
>
>Its allbout how you express the measure.!
>
>If you seperate out the numbers you have produced ( 32.7273 ) you then get
>32,72,73 which will form a 3*2digit=6 digit/day level ballancing measure so
>combining the "lunar" geo-(27deg) polygon and the "sun" (11deg) quadrant
>relative to the star "sirius" (2*.5) timing for counting the earths
>rotation.(day~night)
>
>DOG Calendar.
>
>SIRIUS/LUNAR "DOGOD"  SYSTEM   (4,15,( 7 ),15,4)=45 degree arc/angle
>SIRIUS/SUN      "DOGON"  SYSTEM   (4,15,( 7 ),15,14)=55 degree arc/angle
>(55/11)=5
>
>moon 3*9=27
>sun    3*11=33
>sirius 3*2=6
>earth  3*4=12
>total on a 6 day 45deg basis = 27+33+6+12=78/6=13 zodiac signs
>total on a 7 day 55deg basis = 27+33+6+12+9(3*3)=87genesis cycles
>
>3*3*9=81
>3*3*33=297
>3*3*6=54
>3*3*12=108
>
>81+297+54+108 total 540cycles /9=90deg/quadrant.
>
>>Realising this: I changed my stand to revert from 4x100-metric degree
>>(gon)
>>quadrant to the EXISTING 90-degree quadrant; and establish the *decimal
>>linkage - of HOUR and Degree*.
>
>I get the same result.!!
>
>Derek
>
>
>
>----- Original Message ----- From: "Brij Bhushan Vij"
><[hidden email]>
>To: <[hidden email]>; <[hidden email]>
>Sent: Wednesday, June 07, 2006 8:00 PM
>Subject: 12_24 hr Sidereal day Re: r-sec & 11-Hour Clock Re: Workin' on
>radian time
>
>
>>Derek & all:
>>>It would seem your measure of 32.7273 is probably more accurate and
>>>correct, but this genesis calendar was designed to be a calendar for a
>>>world agricultural and farming culture following the path/cycle of the
>>>sun
>>>and its 11 "sunburst" cycles,.....
>>Thanks, Derek! 12-hr clock is imbedded into humans (our minds) that any
>>amount of coaxing is NOT likely to find its way down to common man.
>>However, I showed the possibility to divide the HOUR into any number of
>>parts: so long as this is linked to the HOUR-Angle & hence its further
>>division as the Earth spins in its axis (to detremine local time).
>>Realising this: I changed my stand to revert from 4x100-metric degree
>>(gon) quadrant to the EXISTING 90-degree quadrant; and establish the
>>*decimal linkage - of HOUR and Degree*.
>>I have MY reasons to doubt that it was the 'malafied intentions' of
>>political forces during French Replican Reform for 'time & calendar' that
>>Length Unit - 'Metre, m' was NOT TIED to the base unit for Time - the
>>'second, s'. It is now TIME to do the rectifying - so advancement in
>>astronomy does NOT suffer!
>>Regards,
>>Brij Bhushan Vij
>>(Tuesday, Kali 5107-W08-02)/265+D-159 (Wednesday, 2006 June
>>07H14:98(decimal) ET
>>Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda
>>Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30
>>Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30
>>(365th day of Year is World Day)
>>******As per Kali V-GRhymeCalendaar*****
>>"Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai"
>>Contact # 001(201)675-8548
>>
>>
>>>From: "derek winder" <[hidden email]>
>>>To: "Brij Bhushan Vij" <[hidden email]>
>>>Subject: Re: r-sec & 11-Hour Clock Re: Workin' on radian time
>>>Date: Wed, 7 Jun 2006 14:05:41 +0100
>>>
>>>Brij
>>>I was checking the following which you have wrote and it does appear to
>>>fit the expression 2 (PI) pillars of Hercules/Heracles as shown in
>>>genesis
>>>image a combination of secular/linear Metric time measure.
>>>
>>>>If Earth were to remain 2Pi 'radians', the HOUR-angle would be
>>>>32.7273-degree.
>>>
>>>On has always to use 2 digits of measure :-
>>>
>>>the first Cycle measure of  2 digits 32 is dividable by 6 "cycle/days"
>>>the next ratio measure of  2 digits 72 is dividable by 6 giving 12
>>>ratio/hours.
>>>the next ratio measure of  2 digits 73 is dividable by 5 and 9 producing
>>>14.6 and 8.1111111(cycle~ratio) (2*7"ratio/days" and 2*4"sectors") so in
>>>geo/circle/cycle terms overall it fits 6 ~7 day.. EXACTLY!.
>>>
>>>This would also produce a divided/split 360 degree circle producing a
>>>2*6=12hour, 60min circle of time
>>>
>>>If you multiply the numbers accumulative you get 6*6*7*4=10008 cycles
>>>based on a 5*9=45 degree angle, divide 10008 by 33 angle (solar measure)
>>>which will produce  30.54 54 55 which are 30 days in a month over  3*3
>>>ratio/cycle yrs of 54 weeks, 54 weeks,and finally a 55 week, which can be
>>>divided again by the solar value11 (2*PI) to produce 5, or in expansion
>>>by
>>>the moon 55*.5=27.5 (lunar).
>>>
>>>This 2 (PI) 3*3 cycle/ratio with solar 11 combination produces the
>>>combined "celestial" earth measure image of the sun, moon and earth.
>>>3*3=9*11=99, all it requires therefore is 1 day to be "world day" to fit
>>>100 to 1000+8cycle/hrs/yrs of time. The 8 is the measure of the hour and
>>>the sectors in the circle which are added to 45 degree
>>>(1000/8=125/5)=25deg "shift in time" to produce the genesis "optimum"
>>>value (45+25)=70.
>>>
>>>The actual value in degrees therefore in genesis is 32.6 because
>>>54+54+55=163/5=32.6 as in the 6 days of creation (32/6=5.3333333) it just
>>>takes 7 ratio cycle/days (7*3*7)=147/5=24.5hrs to bring it about on a
>>>split 12~24 hour basis using the (.5).
>>>
>>>It would seem your measure of 32.7273 is probably more accurate and
>>>correct, but this genesis calendar was designed to be a calendar for a
>>>world agricultural and farming culture following the path/cycle of the
>>>sun
>>>and its 11 "sunburst" cycles,  simply by using 3 levels forming
>>>symbols/signs geometricaly combined as in the image which would be
>>>understood "visual" as in the created life forms"creatures" and their
>>>"seasons" as one can see in the image, its only when you do the numbers
>>>involved in the cycles that the TIME aspect becomes more understood, but
>>>most people don't want to be bothered with that.
>>>
>>>My instinct and senses now tell me this image is connected with early
>>>India/Egypt and was somehow derived from a projection onto the wall in
>>>the
>>>Map room in the great pyramid where it could be observed and recorded on
>>>paper throughout the year by astrologers/astronomers to determine the
>>>moments in the seasons based on the alignment of the sun, moon and the
>>>path of the star Sirius, combined together it forms the "selestial" image
>>>of what one sees as on earth, so one has a sun, moon, star,  EARTH chart.
>>>
>>>Derek
>>>
>>>
>>>----- Original Message ----- From: "Brij Bhushan Vij"
>>><[hidden email]>
>>>To: <[hidden email]>
>>>Sent: Wednesday, May 31, 2006 3:54 PM
>>>Subject: r-sec & 11-Hour Clock Re: Workin' on radian time
>>>
>>>
>>>>Lance, group:
>>>>>>Since it's possible that not everyone has had an
>>>>>opportunity to work on this yet, I won't spoil it by
>>>>>revealing a full set of answers, but I'll release a
>>>>>solution for the original problem. That solution,
>>>>>applied to the 24-hour clock, leads to the general
>>>>>equation to which I referred earlier.
>>>>It is NOT difficult to achieve what Lance has in mind - BUT to what
>>>>advantage? Our minds are set to use 24-hour clock work and 2 Pi radian
>>>>imbedded into our 'conceptions'. For any New adventure, we must be clear
>>>>that any system can be made to work so long as we are 'linking' the *NEW
>>>>TIME UNIT WITH THE NEW LENGTH UNIT* for our clock mechanisms to work for
>>>>astro-calendaric calculations! I show this as:
>>>>Radian Time: 86400/22 sec =3927.273 sec =65.455 min =1hr 5m 27s.273
>>>>[1s=9,192,631,770 cs-133]
>>>>1. 65.455 min =1hr 5m 27s.273 2. 130.91min =2h 10m 54s.6
>>>>3. 196.365 min =3h 16m 21s.9 4. 261.82 min =4h 21m 49s.2
>>>>5. 327.275 min=5h 27m 16s.5 6. 392.73 min =6h 32m 43s.8
>>>>7. 458.185 min =7h 38m 11s.1 8. 523.64 min =8h 43m 38s.4
>>>>9. 589.095 min =9h 49m 05s.7 10. 654.55 min =10h 54m 33s
>>>>11. 720.005 min =12-HOURS [Note: the difference of 0.3 sec is due to
>>>>TRUNCATION].
>>>>The 11-Hour Clock can have HOUR-angle =43200/11 atomic-seconds (or
>>>>r-sec).
>>>>     Thus, r-sec can be defined as: *1/110000th  of the atomic day
>>>>=0.7855 s or (72120374745 cs-133~]. If Earth were to remain 2Pi
>>>>'radians', the HOUR-angle would be 32.7273-degree.
>>>>If a REFORM of 'time & calendar is desired' our thoughts must be
>>>>practical from view point of a man-on-street and that: what this costs
>>>>to
>>>>tax-payer?
>>>>Regards,
>>>>Brij Bhushan Vij
>>>>(Tuesday, Kali 5107-W07-02)/265+D-152 (Wednesday, 2006 May
>>>>31H10:88(decimal) ET
>>>>Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda
>>>>Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30
>>>>Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30
>>>>(365th day of Year is World Day)
>>>>******As per Kali V-GRhymeCalendaar*****
>>>>"Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai"
>>>>Contact # 001(201)675-8548
>>>>
>>>>
>>>>>From: Lance Latham <[hidden email]>
>>>>>Reply-To: East Carolina University Calendar discussion List
>>>>><[hidden email]>
>>>>>To: [hidden email]
>>>>>Subject: Re: Workin' on radian time
>>>>>Date: Wed, 31 May 2006 06:37:05 -0700
>>>>>
>>>>>Group -
>>>>>
>>>>>Since it's possible that not everyone has had an
>>>>>opportunity to work on this yet, I won't spoil it by
>>>>>revealing a full set of answers, but I'll release a
>>>>>solution for the original problem. That solution,
>>>>>applied to the 24-hour clock, leads to the general
>>>>>equation to which I referred earlier.
>>>>>
>>>>>Here goes.
>>>>>
>>>>>The 12-hour clock represents a 12-hour period. There
>>>>>are 2*pi radians in the circle of the clock face, so
>>>>>the hour mark '1' is at an angle:
>>>>>
>>>>>    theta = 2*pi   = pi
>>>>>            ----    ---- radians
>>>>>             12       6
>>>>>
>>>>>from the position marked '12'.
>>>>>
>>>>>The angular speed of the hour hand, H, is therefore:
>>>>>
>>>>>   rH = pi/6 rad/hr
>>>>>
>>>>>Measured in minutes, rH = pi/360 rad/min.
>>>>>
>>>>>The corresponding angle for the minute hand, M,
>>>>>represents 5 minutes, so the angular speed of M is:
>>>>>
>>>>>    rM = pi/6 * 1/5 rad = pi/30 rad/min
>>>>>
>>>>>There are several methods for proceeding to a
>>>>>solution. Perhaps the easiest one goes like this. One
>>>>>wishes to solve for the exact time when H and M
>>>>>overlap for the first case, 1:05. Draw a straight line
>>>>>that represents the distance 'd' around the clock
>>>>>face.
>>>>>
>>>>>   '12'           '1'
>>>>>    P0             P1         P2
>>>>>    |--------------|-----------|-------------> d
>>>>>
>>>>>The distances do not have to be to scale. One knows
>>>>>that the distance (P1 - P0) = pi/6 radians. The
>>>>>distance (P2 - P1) can be called 'x'. Initially, set M
>>>>>to P0 and H to P1, to represent the time 1:00.
>>>>>
>>>>>One wishes to advance M at rate rM from P0, and H at
>>>>>rate rH from P1 until M overtakes H at point P2. The
>>>>>difference 'x' represents the time past 1:05 consumed
>>>>>by H while M catches up.
>>>>>
>>>>>A solution for 'x' can be had by setting up 2
>>>>>equations. Since M and H must both arrive at P2
>>>>>simultaneously, they spend the same amount of time 't'
>>>>>to do so. Thus one may write:
>>>>>
>>>>>    t = x / (pi/360) for H
>>>>>
>>>>>and
>>>>>
>>>>>    t = (pi/6 + x) / (pi/30)
>>>>>
>>>>>using the identity:
>>>>>
>>>>>    time = distance / rate
>>>>>
>>>>>for both M and H, using their respective distances and
>>>>>rates.
>>>>>
>>>>>One then has the equation of the two, which can be
>>>>>solved for 'x', which turns out to be:
>>>>>
>>>>>    x = 5*pi/330  or pi/66
>>>>>
>>>>>Thus the entire distance (P2 - P0) is:
>>>>>
>>>>>    d = pi/6 + x
>>>>>
>>>>>which turns out to be 0.571199 radians.
>>>>>
>>>>>Since 1 radian = 6/pi hours, the conversion from
>>>>>radians to decimal hours is trivial, yielding the
>>>>>result:
>>>>>
>>>>>    D = (6/pi) * d = 1.09090909... hours
>>>>>
>>>>>which can then be easily converted to HMS format to
>>>>>yield the final result of:
>>>>>
>>>>>    1:05:27, rounded to the nearest second.
>>>>>
>>>>>This is the exact moment (to the nearest second) when
>>>>>M overtakes H and aligns with it.
>>>>>
>>>>>Some hints for further solution follow below.
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>1. Work the second case for clock time 2:11. From the
>>>>>result, one should be able to deduce a simple formula
>>>>>for calculating the H-M match times for any hour 'h'
>>>>>for a 12-hour clock. (Variable 'h' has values
>>>>>1,2,...11 for a 12-hour clock.)
>>>>>
>>>>>2. Work the first case for a 24-hour clock, i.e., when
>>>>>do H and M align on a 24-hour clock, using the method
>>>>>described, starting with H at '1', M at '12'.
>>>>>
>>>>>3. From the result, one should be able to deduce a
>>>>>simple formula to predict decimal hours, D, from 'h'
>>>>>for an N-hour clock.
>>>>>
>>>>>Good hunting!
>>>>>
>>>>>-Lance
>>>>>
>>>>>
>>>>>Lance Latham
>>>>>[hidden email]
>>>>>Phone:    (518) 274-0570
>>>>>Address: 78 Hudson Avenue/1st Floor, Green Island, NY 12183
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>__________________________________________________
>>>>>Do You Yahoo!?
>>>>>Tired of spam?  Yahoo! Mail has the best spam protection around
>>>>>http://mail.yahoo.com
>>>>
>>>>
>>>>
>>>>
>>>>--
>>>>No virus found in this incoming message.
>>>>Checked by AVG Free Edition.
>>>>Version: 7.1.394 / Virus Database: 268.8.0/352 - Release Date:
>>>>30/05/2006
>>>>
>>>
>>
>>
>>
>>
>>--
>>No virus found in this incoming message.
>>Checked by AVG Free Edition.
>>Version: 7.1.394 / Virus Database: 268.8.2/357 - Release Date: 06/06/2006
>>
>>
>
[hidden email]