@gat.ac.in
Associate Professor, Mathematics
Global Academy of Technology
Computational Astronomy, Indian Mathematics, History of Astronomy
Scopus Publications
Scholar Citations
Scholar h-index
K.S. Mahesh, K. Rupa, Padmaja Venugopal, and S. Balachandra Rao
China Science Publishing & Media Ltd.
Padmaja Venugopal, K. Rupa, S.K. Uma, and S. Balachandra Rao
China Science Publishing & Media Ltd.
: In classical Indian Astronomy the true positions of the five planets are determined by repeatedly applying two equations, viz the equation of centre ( mandaphala ) and the equation of conjunction ( śīghraphala ). In the present paper we concentrate on the equation of conjunction ( śīghraphala ). Here, conjunction refers to the conjunction of a planet with the Sun, considering the ‘anomaly’ of their mean positions. In this process the concepts involved are the śīghra anomaly ( śīghrakendra ), śīghraparidhi (periphery) and the śīghrakarņa (hypotenuse).
K. Rupa, S.K. Uma, Padmaja Venugopal, and S. Balachandra Rao
China Science Publishing & Media Ltd.
K. Rupa, Padmaja Venugopal, Anita Udagatti, S.K. Uma, S. Balachandra Rao, K. Rupa, Padmaja Venugopal, Anita Udagatti, S.K. Uma, and S. Balachandra Rao
China Science Publishing & Media Ltd.
Padmaja Venugopal, K. Rupa, S.K. Uma, and S. Balachandra Rao
China Science Publishing & Media Ltd.
S. Balachandra Rao, Padmaja Venugopal, and K. Rupa
Springer Singapore
In the present paper the procedures for transits and occultations as per the Indian texts are discussed. The algorithms used during various periods are compared with the Improved Siddhantic procedures (ISP) devised by the authors in the light of modern formulae.
K. Rupa, Padmaja Venugopal, and S. Balachandra Rao
Springer Singapore
In Indian astronomical texts, generally the lunar occultation of particular stars, like Makhā (Regulus), Citrā (Spica), Rohiṇi (Aldebaran) and Jyesṭhā (Antares), are considered important. In this paper, a study of the phenomenon of a lunar occultation and the periodicity of this phenomenon are discussed. Actual circumstances of some occultations of stars cited by earlier authors and also recordings inscribed on stone are worked out.
Padmaja Venugopal, K. Rupa, and S. Balachandra Rao
Springer Singapore
The period including the latter half of the fifteenth century and the earlier half of the sixteenth century witnessed a big resurgence in the development of astronomy, not only in Europe but also in India. In Europe we had great pioneers like Galileo, Copernicus and Tycho Brahe, the illustrious galaxy being crowned by Johannes Kepler (1571–1630) a little later.
K. Rupa, Padmaja Venugopal, and S. Balachandra Rao
Maxwell Scientific Publication Corp.
In this paper, we present a study of the phenomenon of lunar occultation of visible stars. In Indian astronomical texts, generally the lunar occultations of some particular visible stars like Regulus (α Leonis) and Spica (α Virginis) are considered important. We are presenting the results of the periodicity of this phenomenon. The instants of true conjunctions of the Moon with some of the stars are discussed. Further, these conjunctions are of greater interest when they turn out to be occultations. We have worked out the actual circumstances of some occultations of stars cited by earlier authors as also for modern times.