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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,