Sun, Moon and Rahu
At the official website for NASA you may scroll down and find a section labeled Orbital Parameters. Scroll down to Inclination to the Equator (deg).
You will find here 18.28-28.58. This is called declination. If you have a globe and you draw a line around its circumference that is 0 degrees.
Either side of that line, any point you make will be on some degree of the ball. On this website NASA says that the degree of the Moon's travel is from 18.28 degrees to 28.58 degrees. And sometimes he goes as much as 28.58 degrees. The Sun goes only to approx. 23.5 degrees.
The meaning of this is that as the Moon travels back and forth across the equator it never goes to less than 18.28 degrees. In the Srimad Bhagavatam 5th Canto, Chapter 24, text 2 we find the following:
The sun globe, which is a source of heat, extends for 10,000 yojanas [80,000 miles]. The moon extends for 20,000 yojanas [160,000 miles], and Rahu extends for 30,000 yojanas [240,000 miles]...
Before we proceed to show the incredible accuracy of the Srimad Bhagavatam we must know something about the size of the Earth. The modern calculation of the Earth is 24,902 miles in circumference. Divide this number by 360 to know what each degree would be separately.
24902 divided by 360 = 69.172222 We must also know that there are 60 minutes in an hour and 60 seconds in a minute and 24 hours in a day.
The Bhagavatam verse gives the timing of the eclipses down to the second. The Vedas also divide the day into 86400 seconds, into minutes of sixty seconds.
It all works out the same whether you use minutes or muhutas (forty-eight minutes is a muhuta) or hour. The seconds are exactly identical because the unit of 86400 seconds a day is the same.
These particular calculations are for measuring three different things which science (modern) agrees with. 86400 divided by 60 divided by 60 equals 24. 24 hours of sixty minutes containing sixty seconds.
And we must know similarly that degrees on a circle also can be measured in this way. We shall begin with Rahu. This means in this case the lowest degree to the equator. (The moon travels from zero to 18.28 at its lowest and 0 to 28.58 at its highest.)
The figure of the size of Dhruvaloka is 512157669. Dhruvaloka is said to be a planet at the extreme north of the universe. How we derive the figure for Dhruvaloka we shall show later. The 5th Canto is a precise mathematical puzzle with interlocking parts.
The last number mentioned in the Bhagavatam in a previous chapter was for Dhruvaloka. So we utilize Dhruvaloka for our next mathematical problem.
512157669 divided by 240000 =2133.990288. Square this (multiply number by itself) = 4553914.547. Now divide by 60, divide by 60 again. And divide by a single degree of the earth 69.172=18.28734458.
What did the NASA website say? It said 18.28 Moon Fact Sheet
Length of Sun's eclipse
Utilizing again data which can be found by googling eclipse or googling length of eclipses, we learn that there are two main eclipses. There is a lunar eclipse, and there is a solar eclipse. Both of these eclipses have been timed by modern science. Would you be surprised to learn that their exact times are found in the 5th Canto of Srimad Bhagavatam?
Again we begin with the number of miles around Dhruvaloka. (We shall show how to get this number later.) And we follow the instructions found in Canto 5, Ch. 24, text 2 of Srimad Bhagavatam.
512157669 divide by 80000 = 6401.970863. Square this number (multiply it by itself) = 40985230.92. Now divide by the minutes of an eclipse of the sun which if you google it, you will find is 25214.
25214 is 7 minutes and 14 seconds or 7 times 60 times 60 plus 14. So again we divide 40985230.92 by 25214=1625.495. Now divide that by a single degree of the earth 1625.495, divide by 69.172=23.499.
The length of the longest possible solar eclipse then is approx. 7 minutes 14 seconds. At least the Srimad Bhagavatam and modern science think so.
The length of a lunar eclipse
We are showing that ancient astronomers were far from ignorant about the most modern calculations of the Sun and Moon.
The longest lunar eclipse is estimated on various sites you can google. Here is how we derive this figure from Srimad Bhagavatam 5th Canto, Ch. 24, text 2:
First we take the number of miles circumference of the planet Dhruvaloka and begin - 512157669 divide by 160000 = 3200.985431. Now we square that number (multiply the number by itself) = 10246307.73. Now divide this number by the minutes in a lunar eclipse, which is 359496.
This number 359496 is 99.86 minutes. Or 98.86 times 60 times 60 = 359496. So we divide 10246307.73 by 359496 = 28.5.
Of course my number for Dhruva could be off a fraction or my number for the circumference of the earth, but we see how so very accurate the Srimad Bhagavatam is. We have an accurate measurement of the Moon's lowest declination.
We have an accurate time of solar eclipse. And we have an accurate time of lunar eclipse. At first, it may escape us how much has been revealed in this one verse.
We have learned the movement of the Moon without spending a moment surveying the stars. We have learned the size and shape of the earth without experiment. We have learned the length of lunar and solar eclipses without timing them. And how did the ancients time these things without watches?
It appears such revelations as these put a hole in the theory that mankind is descended from primitive men. Modern Science has not improved a fraction on these conclusions. One wonders what other amazing information is to be found in the 5th Canto of Srimad Bhagavatam.
The Srimad Bhagavatam 5th Canto, Chapter 24, text 6 says, 'Below the abodes of the Yaksas and Raksas by a distance of 100 yojanas (800 miles) is the planet earth'.
To understand the mathematical construct found in the 5th Canto we shall begin with the earth. The earth according to modern calculation is 24,902 miles around. How many degrees does a round object have? 360.
24,902 times 360 = 8,964,720. Divide this number by the circumference of the constellations that is 2,031,946,146 (we shall show how to derive this number later). Then multiply by (31,500,000-(80,000+80,000+800)) = then multiply by 360 = 49,775,421.11. This is the orbit of the planets called Siddhaloka, Caranaloka and Vidyadhara loka.
Srimad Bhagavatam Canto 5, Ch. 24, text 4 says, 'Below Rahu by 10,000 yojanas [80,000 miles] are the planets known as Siddhaloka, Caranaloka and Vidyadhara-loka.'
Although these planets are located above Dhruvaloka. Below is meant for the mathematician, however I am working backwards, which is more difficult mathematics. Let us begin with Dhruvaloka (we shall explain how to get Dhruvaloka later) and move thru Rahu to Siddhaloka etc. and to Earth. In this way we are following the texts as they appear in the Bhagavatam.
Dhruvaloka's orbit is 512,157,669. Divide by 360, divide by (31,500,000-80,000)) times 2,031,946,146 (constellations) divided by 18.19 degree of Rahu's declination) = 5,057,949.548 times 360 = 1,820,861,837 This is Rahu's orbit through the universe.
In our mathematical formula, which found the orbit of Rahu, we begin from that very same number to discover the path of Siddhaloka, Caranaloka and Vidyadhara-loka. (Of course we do not know if they revolve or are stationary, or what is their exact configuration or if they are above or below Dhruvaloka.)
1,820,861,837 divide by 360 divide by ((31,500,000-(80,000+80,000)) times 2,031,946,146 divide by 6.588,290,665 = 49,775,421.111 Siddhaloka
49,775,421.111 divide by 360 divide by ((31,500,000-(80,000+80,000+800)) times 2,031,946,146 = 8,964,720 divide by 360 = 24,902 Earth
The Path of Rahu
The formula we are using will not be thoroughly understood until all the pieces are in place. But it uses the circumference of a planet and divides by 360 degrees to get the numbers for one single degree of that circumference.
Then it follows the formula of Bhagavatam using the 31,500,000 figure of the sun's second axle to subtract or add as the texts indicate. Then we multiply by the constellations. That gives us what is called declination.
We must already know what the declination is for a certain planet and divide by that number. That gives us one single degree of the new planet's circumference. So when we multiply by 360 we have the planet's circumference (orbit).
There is a little more in understanding the movement of the planets north and south, but we shall learn that as we go. The formula that I have described only works after it has been introduced in the text.
As we proceed, and each and every planet's orbit is found, including its north and south circumferences, things will become clearer. At last we shall draw each planetary orbit and see how they actually move.
The Constellations, The Big Dipper (Seven Sages) and Dhruva:
Discovering the number 56,400,000 and how to use it, it has occurred to me that the mathematical system of the 5th Canto of Srimad Bhagavatam could be fashioned on such a system (see Sun's Chariot diagram).
It was finding the mention of such numbers in an Ancient Astronomy book attributed to Hipparchus that I thought I must be on the right track. It was through thousands of wrong calculations that the Lord was kind enough to let me crack the mathematics for one other planet. Then it was a matter of filling in the others. (Not a trivial task.)
I am indebted to Danavir Gosvami. I should also thank Dr. Nick Lomb, the Curator of Astronomy at the Powerhouse Museum for kindly supplying me the greatest declinations to the main planets.
We have shown how the circumference of the moon is derived. In the Srimad Bhagavatam the next text after discussing the moon is Canto 5, Ch. 22, text 11:
There are many stars located 2,000,000 yojanas [1,600,000] above the moon, they are fixed on the wheel of time, and there are twenty-eight important stars, headed by Abhijit. (Abhijit is a star in the constellations.)
Here is the math to derive the constellations:
Moon 709,558,416.2 divide by 360 divide by (31,500,000 + 800,000 + 1,600,000) =.058,141,463 times 864,000,000 divide by 8.9 times 360 = 2,031,946,146
The axle of the Sun is 31,500,000 and we are to add 1,600,000 miles to it. We have already added 800,000 to it for the moon. We divide by 8.9 because if you are standing on the equator of Earth, the constellations extend to the north approx 8.9 degrees and to the south approx 8.9 degrees.
Later we shall address Venus, Mercury, Mars, Jupiter, Saturn and the Seven Sages. For now we shall begin with the circumference of the Seven Sages (later we shall show the math on how to derive this number) and show how to derive Dhruvaloka.
Circumference of the Seven Sages is 1,386,038,221 divide by 360 divide by (31,500,000+800,000+1,600,000+(5 X 1,600,000) + 8,800,000 + 10,400,000 =.063,013,194 times 2,031,946,146 = 128,039,417.2 divide by 90 =1,422,660.192 times 360 = 512,157,669 the circumference of Dhruvaloka.
The number 90 is used as declination for Dhruva, as Dhruva is located in the center northern topward position of the universe. He is in line with Meru at the south.
Earth is out to the side from middle so modern astronomers, not thinking that the universe has a "design", calculate from Earth. In this way they calculate the North Star or pole star as 89.1 degrees or something like that. Bhagavatam apparently calculates from the center of the universe, which is Dhruva, even though Dhruva may or may not be visible to us.
Because this was once the prevailing view of the universe, in the course of my studies I found many statements alluding to Earth being near or in the center of the universe.
In fact, a great amount of information has been handed down through time in various scriptures explaining the constellations as being the home of demigods and angels and of the existence of a second earthly dimension below this one.
Gradually over time the factual history of that ancient information slipped away with the advancement of Kali-yuga and the introduction of modern atheistic science and technologies however, it was once held as true by the most erudite philosophers, astronomers and great sages. As late as Descarte we find him discussing the constellations as an area of divine beings.