Month: February 2026

**** Computation of Chyuthi Samskaram = Manda Kendra = Madhyamam – Mandochha ****
**** Approximation to Theta, the True Anomaly

y = year(ctod(mdate))-1899
t = y/100

e = .01675134-0.0000004180*y
R = 206265
mdk = (apk+180)%360

a = R(2e)
b = R(1/4)e^3
c = R¹

d = R²

h = R³ j = R⁴

l = R⁵

m = R⁶

mjyavk =(a-b+c)sina +(d-f+g)sin2a + (h-i)sin3a + (j-k)sin4a + (l sin5a) +(msin6a)
suy = abs(mjyavk/60)

sdiff = suy/60

Computation of Ravi Mandakarna, heliocentric distance *

**** Approximation to r, the radius vector *

smaxis = 10000

rv1 = (1+(1/2)e^2) rv2 = e (1 – (3/8)*e^2) * cos(dtor(mdk))
rv3 = .5*e^2 * ( 1- (2/3)* e^2 )* cos(dtor(2mdk)) rv4 = (3/8) e^3* cos(dtor(3mdk)) rv5 = (1/2)e^4cos(dtor(4mdk))

rmk = smaxis* (rv1 – rv2 – rv3 – rv4 – rv5)

---

if apk > 180
rsp = np + sdiff
else
rsp = np -sdiff
endif

rsp = rsp % 360

ncrsp = (rsp – ayd)%360

1. 5/96)e**5)
   sina = sin(dtor(mdk[↩]
2. 5/4)e^2)
   f = R((11/24)e^4)
   g = R((17/192)e^5)
   sin2a = sin(dtor(mdk*2[↩]
3. 13/12)e^3)
   i = R((43/64)e^5)
   sin3a = sin(dtor(mdk3[↩]
4. 103/98)e^4) k = R((451/480)e^6) sin4a = sin(dtor(mdk4[↩]
5. 1097/960)e^5)
   sin5a = sin(dtor(mdk*5[↩]
6. 1223/960)e^6)
   sin6a = sin(dtor(mdk*6[↩]

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Mathematically, , if the Madhyamam, the Mean Longitude, is in the First Half, then the value should be deducted. ( if less < 180, minus and if > 180, plus )

Rinam means debts and Dhanam means wealth

The Night of Siva occurs when the Moon is in between 156 and 168 degrees from the Sun ( Chaturdasi) in the lunar month of Maagha, in the Waning Moon Fortnight ( Krishna Paksha ).

This is a very sacred day for the Eternians. 

Esoteric, scientifc aspects of this Grand Night, vIdeos and photos of the famous Aluva Siva Ratri at http://www.guruvayur4u.com/html/sivaratri.htm

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Formula for Computing the Equation of Centre fhe the First Lunar Kendra.

rmkx = ram – rap ( R avi Manda Kendra = Ravi Madhyamam – Ravi Mandocham

if sign(rmkx) = -1
rmkx = rmkx +360
endif

**** First Kendra ******

fken = rmkx + 180

fken = fken % 360

if fken < 90
rbh = fken
endif

if fken > 90 .and. fken < 180
rbh = 180- fken
endif

if fken > 180 .and. fken < 270
rbh = fken -180
endif

if fken > 270 .and. fken < 360
rbh = 360 -fken
endif

fsec = sin(dtor(rbh))*658