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8/9/2019 PD Formula Sheet.pdf
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BKS- D:\JV3\03 Pri Directionn 1- V Saxena\PD Formula Sheet.doc – Rev-234 - 20150313 - 123204 1/1
Primary Directions Placedean Arc Method
b. Oblique Ascension of CuspsOA of Cusp 10 = RAMC 15 (A) OA of Cusp 11 = RAMC 15 + 30°OA of Cusp 12 = RAMC 15 + 60°OA of Cusp Asc = RAMC 15 + 90°OA of Cusp 2 = RAMC 15 +120°OA of Cusp 3 = RAMC 15 +150°
Mean Obliqui ty of earth: 23°-27’-08’’ for 1900 - 0°0’0.4757”/yr i.e. 0.000 132 138 8°/yr (B)
d. Polar Elevation (PE)for MC, PE is always 00-00for Asc, PE is always Birth place Lat (N/S)for others :
Step 1 1sin tan tan birth lat n/s MO = x (C)
Step 2 1 / 3tan
tan
sin x
MO
= PE of Cusp 3 & 11
Step 3 1 2 / 3tan
tan
sin x
MO
= PE of Cusp 2 & 12
e. First Angle Y1for MC, Y1=00-00for other cusps : It depends on OA is in which
quadrant 1/2/3/4
If OA in Q1, Y1 =
1 tantancos
PE
OA
If OA in Q3, Y1 =
1 tantan
cos 180
PE
OA
If OA in Q2, Y1 =
1 tan
tan sin 90
PE
OA
If OA in Q4, Y1 =
1 tantan
sin 270
PE
OA
f. Second Angle Y2for MC, Y2=MOfor other cusps :if OA in Quad 1 or 4 then Y2 = MO+Y1if OA in Quad 2 or 3 than Y2 = diff of MO & Y1
g. Sayna Cusp
of Q1 = 1 cos 2 tantancos 1
Y OAY
of Q3 = 1 cos 2 tan 180tan
cos 1
Y OA
Y
+180 °
of Q2 = 1 cos 2 tan 90tan
cos 1
Y OA
Y
+90°
of Q4 = 1 cos 2 tan 270tan
cos 1
Y OA
Y
+270°
If Y2 is above 90° then answer appears in negative,deduct that degree from the previous quadrant, ornext quadrant i.e. 90°,180°,270°
Diurnal side : House 7 , 8, 9, 10, 11, 12, Nocturnal side : House 1, 2, 3, 4, 5, 6,
SpeculumDeclination of Su, Asc, MC, Ra, Ke, Fortuna
if in Q1, Decl = 1sin [sin (long) sin (MO)]if in Q3, Decl = 1sin [sin (long-180°) sin (MO)]if in Q2, Decl = 1sin [cos (long-90°) sin (MO)]if in Q4, Decl = 1sin [sin (long-270°) sin (MO)] for Q1 &2, Decl will be North, for Q3&4 South Decl of other planets find out as per ephemeris
Latitude of Su, Asc, MC, Ra, Ke, Fortuna=0° Lat of other planets, find out as per ephemeris
Right Ascension (RA)
for Q1, 1cos( ) cos(Lat)
coscos( )
Longdecl
for Q3, 1cos( 180 ) cos(Lat)
coscos( )
Longdecl
+180°
for Q2, 1sin( 90 ) cos(Lat)
coscos( )
Longdecl
+90°
for Q4, 1sin( 270 ) cos(Lat)
coscos( )
Longdecl
+270°
Ascensional di ff erence AD = 1sin [tan(birth lat n/s ) tan(decl)]
Merid ian distance (MD)Distance between RA of Planet & OA of Cusp 10 or
Cusp 4, depending upon planet is diurnal or nocturnal
Semi Diurnal Arc & Semi Nocturnal ArcDeclination SDA SNA
Diurnal North 90 ° + AD 180° - SDADiurnal South 90° - AD 180° - SDANocturnal North 90° - AD 180° - SDANocturnal South 90° + AD 180° - SDA
Circle of Position
COP =90Semi Arc
MD
Little Ascensional differenceLAD = Difference between COP & MD
Pole of Planet = 1sin( )
tantan( )
LAD
Decl
Oblique Ascension of Planets (OA)Decl North Decl South
Rising side RA – LAD RA + LADSetting side RA + LAD RA - LAD
The equation mentioned above is for those who hasnorth birth Latitude & cice versa for South Birthlatitude
Rising side houses 10, 11, 12, 1, 2, 3 Setting side houses 4, 5, 6, 7, 8, 9
Semi Arc=SDA for Diurnal,SNA for Nocturnal,