September 27, 2025Open Access

Existence of Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem Space

MKMahesh KumarIndian Council of Agricultural Research AKAvdhesh KumarJai Prakash Vishwavidyalaya

Key Points

The study identifies new equilibrium points influenced by radiation and oblateness of the three bodies involved.
Equilibrium points are distinct from classical models, demonstrating the significance of body shapes on motion.
The analysis indicates that the oblateness of primaries alters the classical dynamics typically observed.
Further exploration in this area may yield valuable insights for future astronomical research.

Abstract

We have found the position of equilibrium points in the generalised photogravitational restricted three body problem. The problem is generalised in the sense that both primaries are oblate spheroid. The position of equilibrium points depends on radiation and oblateness of both primaries. They are different from classical case. The oblateness affects the motion of the primaries. Further studies on this topic will be very useful in research areas in future research work.

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