Graha and Bhava Balas Part 16: Astronomical Tables (Ahargana & Mean Motions)

Reference Tables for Calculation

Shadbala calculations require astronomical precision. These tables provide the raw data for computing:

Ahargana: Days elapsed from epoch (used for lord determinations)
Mean Motions: Average planetary positions (used for Chestabala)

The Epoch System

All tables use 1st January 1900 A.D. as the epoch (reference point). Calculations measure time from this date, adjusting for leap years and longitude corrections (standard: 76° East).

Table I: Ahargana (Days from Epoch)

Ahargana = number of days passed from the epoch. Required for calculating year-lord, month-lord, weekday-lord, and hour-lord (Abdabala, Masabala, Varabala, Horabala).

Dec. 31	Ahargana	Dec. 31	Ahargana	Dec. 31	Ahargana	Dec. 31	Ahargana
1827	244	1858	11567	1889	22890	1920*	34212
1828	610	1859	11932	1890	23255	1921	34577
1829	975	1860*	12298	1891	23620	1922	34942
1830	1340	1861	12663	1892*	23986	1923	35307
1831	1705	1862	13028	1893	24351	1924*	35673
1832*	2071	1863	13393	1894	24716	1925	36038
1833	2436	1864*	13759	1895	25081	1926	36403
1834	2801	1865	14124	1896*	25447	1927	36768
1835	3166	1866	14489	1897	25812	1928*	37134
1836*	3532	1867	14854	1898	26177	1929	37499
1837	3897	1868*	15220	1899	26542	1930	37864
1838	4262	1869	15585	1900†	26907	1931	38229
1839	4627	1870	15950	1901	27272	1932*	38595
1840*	4993	1871	16315	1902	27637	1933	38960
1841	5358	1872*	16681	1903	28002	1934	39325
1842	5723	1873	17046	1904*	28368	1935	39690
1843	6088	1874	17411	1905	28733	1936*	40056
1844*	6454	1875	17776	1906	29098	1937	40421
1845	6819	1876*	18142	1907	29463	1938	40786
1846	7184	1877	18507	1908*	29829	1939	41151
1847	7549	1878	18872	1909	30194	1940*	41517
1848*	7915	1879	19237	1910	30559	1941	41882
1849	8280	1880*	19603	1911	30924	1942	42247
1850	8645	1881	19968	1912*	31290	1943	42612
1851	9010	1882	20333	1913	31655	1944*	42978
1852*	9376	1883	20698	1914	32020	1945	43343
1853	9741	1884*	21064	1915	32385	1946	43708
1854	10106	1885	21429	1916*	32751	1947	44073
1855	10471	1886	21794	1917	33116	1948*	44439
1856*	10837	1887	22159	1918	33481	1949	44804
1857	11202	1888*	22525	1919	33846	1950	45169

Dec. 31	Ahargana	Dec. 31	Ahargana	Dec. 31	Ahargana	Dec. 31	Ahargana
1951	45534	1964*	50283	1977	55031	1989	59414
1952*	45900	1965	50648	1978	55396	1990	59779
1953	46265	1966	51013	1979	55761	1991	60144
1954	46630	1967	51378	1980*	56127	1992*	60510
1955	46995	1968*	51744	1981	56492	1993	60875
1956*	47361	1969	52109	1982	56857	1994	61240
1957	47726	1970	52474	1983	57222	1995	61605
1958	48091	1971	52839	1984*	57588	1996*	61971
1959	48456	1972*	53205	1985	57953	1997	62336
1960*	48822	1973	53570	1986	58318	1998	62701
1961	49187	1974	53935	1987	58683	1999	63066
1962	49552	1975	54300	1988*	59049	2000*	63432
1963	49917	1976*	54666	—

* Indicates leap year. † 1900 is NOT a leap year (century rule).

Table II: Days from January 1 to Month End

January	31	July	212
February	59	August	243
March	90	September	273
April	120	October	304
May	151	November	334
June	181	December	365

In leap years: Add 1 day for February (60) and all subsequent months (+1 to tabular values).

Table III: Weekdays from Remainders

Monday	+0 or -7	Friday	+4 or -3
Tuesday	+1 or -6	Saturday	+5 or -2
Wednesday	+2 or -5	Sunday	+6 or -1
Thursday	+3 or -4	Monday	+7 or -0

Table IV: Mean Solar Motion

Mean Position at Epoch (0h, 1 Jan 1900, 76° E): 257°.4558

Days	Units	Tens	Hundreds	Thousands	Ten Thousands
1	0.9856	9.8560	98.5602	265.6026	146.0265
2	1.9712	19.7120	197.1205	71.2053	272.0531
3	2.9568	29.5680	295.6808	236.8080	48.0796
4	3.9424	39.4240	34.2411	42.4106	184.1062
5	4.9280	49.2800	132.8013	208.0133	320.1327
6	5.9136	59.1360	231.3616	13.6159	96.1593
7	6.8992	68.9920	329.9218	179.2186	232.1858
8	7.8848	78.8480	68.4821	344.8212	8.2124
9	8.8704	88.7040	167.0424	150.4239	144.2389

Usage: Sum values for days interval. Add constant at epoch. Reduce modulo 360° for final position.

Table V: Mean Motion of Mars (Kuja)

Mean Position at Epoch: 270°.22

Days	Units	Tens	Hundreds	Thousands	Ten Thousands
1	0.524	5.24	52.40	164.02	200.19
2	1.048	10.48	104.80	328.04	40.39
3	1.572	15.72	157.21	132.06	240.58
4	2.096	20.96	209.61	296.08	80.78
5	2.620	26.20	262.01	100.10	280.97
6	3.144	31.44	314.41	264.12	121.16
7	3.668	36.68	6.81	68.14	321.36
8	4.192	41.92	59.22	232.16	161.55
9	4.716	47.16	111.62	36.18	1.74

Table VI: Mean Motion of Jupiter (Guru)

Mean Position at Epoch: 220°.04

Days	Units	Tens	Hundreds	Thousands	Ten Thousands
1	.08	0.83	8.31	83.10	110.96
2	.17	1.66	16.62	166.19	221.96
3	.25	2.49	24.93	249.29	332.89
4	.33	3.32	33.24	332.39	83.85
5	.41	4.15	41.55	55.48	194.82
6	.50	4.99	49.86	138.58	305.78
7	.58	5.82	58.17	221.67	56.74
8	.66	6.65	66.48	304.77	167.71
9	.75	7.48	74.79	27.87	278.67

Correction: −3.33 − 0.0067t (where t = years from epoch)

Table VII: Mean Motion of Saturn (Sani)

Mean Position at Epoch: 236°.14

Days	Units	Tens	Hundreds	Thousands	Ten Thousands
1	.03	.33	3.34	33.44	334.39
2	.07	.67	6.69	66.88	308.79
3	.10	1.00	10.03	100.32	283.18
4	.13	1.34	13.38	133.76	257.57
5	.17	1.67	16.72	167.20	231.97
6	.20	2.01	20.06	200.64	206.36
7	.23	2.34	23.41	234.08	180.75
8	.27	2.68	26.75	267.52	155.14
9	.30	3.01	30.10	300.95	129.54

Correction: +5.01 − 0.001t (where t = years from epoch)

What's Next: More Tables & Index

Part 17 provides Mercury and Venus product tables (inferior planet calculations), followed by Part 18's complete index of Sanskrit technical terms.

Part 16: Astronomical Tables Part 1