Lord Shankara is my Refuge.

The astronomical handbook Karana-grantha; a concise astronomical manual used for practical calculations known as the Laghumanasa, composed by Munjala, was written in the year 854 likely 854 of the Shaka era, corresponding to 932 CE. We have identified that three manuscripts of this work exist in cities such as Mysore, Trivandrum, Cochin, Tirupati, Vizagapatam, and Varanasi. The late Pandit Sudhakara Dvivedi a renowned 19th-century mathematician and astronomer recorded some biographical details of Munjala in his own work, Ganaka-tarangini (written in Shaka 1814 / 1892 CE). Now, the entire text, accompanied by the commentary of Paramesvara a famous 15th-century astronomer from Kerala composed around Shaka 1353 (1431 CE), has been edited and printed by us. Consequently, it is now easy to understand everything propounded in this entire volume.

Special Features of this Book:

(a) When a circle is divided into four parts, the sine and cosine Bhuja and Koti; the horizontal and vertical components of an arc become equal at the end of the odd quadrants.
(b) In the year 854 Shaka, the precession of the equinoxes Ayanamsha; the angular distance between the tropical and sidereal zodiacs was calculated to be 6 degrees and 50 minutes.
(c) The conceptualization of the two verses beginning with "The cosine of the Sun minus the Moon's apogee..." and "In the results of the Moon and its motion..." are derived from the Vateshvara-siddhanta, as noted by Yalluvaraya in his commentary on the Laghumanasa titled Kalpavalli.

Acknowledgements:
We carry a heavy burden of gratitude with a head bowed in humility for the efforts made on our behalf by the following eminent gentlemen: Principal Gode of the well-known Bhandarkar Oriental Research Institute; Principal Katre of Deccan University; Dr. A. Shankaran, the manager of the Tirupati Manuscript Library; and the learned Vidya-bhushana Mahopadhyaya Venkata Sharma of Trivandrum. May this be auspicious.

Pune—Anandashrama. } Balavanta Sharma,
Monday, June 18, 1944. } son of Dattatreya, of the Apte family.

Footnote at the bottom of the page
*For further clarification of this subject, one should consult verse 104 in the chapter on planetary aspects in the Siddhanta-shekhara composed by Shripati, as well as verse 8 in the Bijopanaya by Bhaskaracharya.