Dear Science and astronomy Friends,
http://in.groups.yahoo.com/group/scienceclubofindia/files/MeasureEarth.doc
http://in.groups.yahoo.com/group/scienceclubofindia/lists/
Hints: as Calculation of AU with the help of Venus transit we need to measure
Earth First in reality rather than just taking it granted. As on the summer
solstice day The sun is on the 23.5 N, we need to go there and find actual place
on 23.5 on the day at local time 12:00 NOON. And that will be real practical
aspect rather than just taken granted Last discussion time.
June 2004) : Measuring the Earth:
Sub: How long will it take and how far we need to go to measure the Earth?
Similar to the experiment below, But all need to do is use local time. When sun
comes overhead (No east or No West). And select two place A & B of Maximum
possible distance apart NORTH and SOUTH and do the measurement same time at both
place as follows.
We can use one control place "S" in South or "N" in North about 50 Km away to
correct any minor errors from short distance "few KM" experiment.
Similar Example of Latitudes longitude finding at the Local time. - for tropical
of cancer @ Local time you need to find the correct time when sun is on the head
with no shadows East or West. and need to be there at LOCAL time of 12:00 NOON
which may be 12 + MM depending on the place where you go - Longitudes.
Experiments done at the Place A & B (NEAR 23.5 N) on 12 Noon IST will have
shadow towards East/West. Depending your positions in India (West/ East of 82.5
E Longitude). And so accordingly you will get shadow East/West. Measure the
length of that of shadow of 3 Meter pole OR a PLUM LINE shadow and find the
Tangent = shadow/ pole - will give u the angle. Say example : shadow = 600 mm at
that time. So 600/3000= 0.2
so anti tangent is an angle of 11.30' degree. so you are 11..30' West/East of
IST line means IF shadow is East than you are WEST and at 82.30' - 11.30' = 71
degree East longitude.
(If shadow is in the EAST than - you are IN the East of the TIME LINE so you
need to Start an experiment a DAY BEFORE (20 JUNE) and repeated on 21st JUNE
before 2 hours before 12 IST and preferably to start more than an hour before to
set up all arrangements)
Now you find exact time when to take results of the experiment. when there is no
shadow to the EAST/WEST - at 12Noon + (11.3o' x4) = @12 + 46 PM Here you have 46
minutes to do that. To take the next accurate place readings. When there is no
shadow in East/West but to the NORTH/SOUTH ONLY (depending your position North
or south of the SUN in India or in the world) at that place at that time. GPS
may be in correct to show that but not the SUN.
Now measure the length of the shadow in accuracy of mm fractions. @ places "A",
"B" & "N" or "S"@ the same time. If the Difference of the length of shadow is
1mm at places "A" and "B" same time at Local time when sun comes over head -(NO
shadow on East or West) the calculations will be simplified as follows. Anti tan
1/3000 gives the angle made by shadow on the Earth surface gives the angle = at
the centre of the Earth by the distance of the place "A"to "B" on the surface of
the EARTH. Eg about 1.145' (1+') and find the Circumference of the Earth = 360
degree. (around 40000 Km)
Similarly Controlled reading at "N" / "S" will help you to find accuracy eg long
distance measure will give more accuracy than 2KM and correct your readings from
that 50 KM distance experiments. (that will give you about 23.5 mm shadow
Difference than that of "A" and 23.5+1 mm than that of "B") so calculate the
anti tangent and angle and circumference of the Earth and Diameter or R for the
Earth.
TO SIMPLIFY MORE and Easy work, Let One of the "N" OR "S" be Either Delhi Jantar
Mantar or JAIPUR - JANTAR MANTAR.
We are very rich in our Astronomy engineering - particularly JAIPUR is the
Richest in that sense. Jaipur has very good working observatory (VEDH SHALA)
with guiding facility.
According to an expert guide (who are also expert in astronomical calculations)-
And that all works local timing and longitude - latitude of the place. Only the
persons required to work for it.
We should utilize that place with aided observation with Summer solstice of 21
June 2004. TEAM A - working with Local observatory guides and Team B working
with at the 23.5 N. That is the best place for us to utilize the observation at
that place and that is relay an opportunity for Jaipur & Delhi and users too.
(Delhi and Jaipur observatory - Vedh Shala are constructed such a way that it
can work locally @ that Longitude Latitude and also at a LOCAL time of that
place. So we do not need to find the place location of Longitude-Latitude while
working there nor the local time of that working place (Auto Sun Dial activity)
- nor we need toys like GPS nor sophisticated instruments. Not only that but
many of such astronomical activities - One like coming VENUS TRANSIT on 8 June
2004 also needs to be observed and activity to be worked in same environment
such as Local time and longitude Latitude, so many of planetarium places and
activity are just nothing in comparisons to such VITAL places as others has to
use their toys of GPS and telescopic compass and Leveling like a Theodolites).
So if we use this place on the day 21 June2004 for a Solistic measurements. (use
the real measured distance from 23.5N to Vedh shala NS distance measured by
vehicle travel)
World geometric dimension Table: created
Earth's Equatorial Diameter
Equatorial Circumference 2D
Earth's Inter Polar Diameter
Inter Polar Circumference 2D
12756 Km (E to W)
40053 KM (E to W)
12714 K m (N to S)
39900 KM (N to S)
(E to W 23:30 N/S)
(Using Tangent 23:30=0.917)
360 degree @ 23.5 Degree
36730km@Tropic of Cancer 360 deg Round the Earth
39900 KM Inter Polar
1 Degree = 60 ' Mins /360
=102 km = 64 Miles
1 Degree = 60 ' Mins /360
=110 km = 70 Miles
1' Min = 60 " Secs /60
=1.7 KM =1.067 Miles
1' Min = 60 " Secs /60
=1.84 KM =1.16 Miles
=1700 M = 5632 Feet
=1840 M = 6124 Feet
1"Sec /60
28.3 M =94 Feet
1"Sec /60
30.8 M =102 Feet
= 37 adult steps
= 18 Second's walk
= 40 adult steps
= 20 Second's walk
1minute walk =300feets=92M
1minute walk =300feets=92M
1hour = 5.4 Km walk
1hour = 5.4 Km walk
Dr.BHUDIA-Science Group Of INDIA.
http://uk.groups.yahoo.com/group/venustransit_2004/
President:"Kutch Science Foundation".
Founder :"Kutch Amateurs Astronomers Club - Bhuj - Kutch".
Life Member:"kutch Itihaas Parishad".
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