Ram Kishor

EDUCATION

M.Sc. and Ph.D.

RESEARCH, TEACHING, or OTHER INTERESTS

Space and Planetary Science, Mathematical Physics, Astronomy and Astrophysics

Scopus Publications

On the periodic motion in the photo-gravitational planar elliptic restricted four body problem
Poonam Meena and Ram Kishor
Elsevier BV



Nonlinear stability of triangular equilibrium points in non-resonance case with perturbations
Saleem Yousuf and Ram Kishor
Springer Science and Business Media LLC



Orbital analysis in generalised solar sail problem with Stokes drag effect
Pulkit Gahlot and Ram Kishor
Springer Science and Business Media LLC



Artificial equilibrium points and their linear stability analysis in the solar sail problem with triaxial second primary
Pulkit Gahlot and Ram Kishor
Elsevier BV



2D and 3D axi-symmetric horseshoe periodic orbits about Lagrangian points: A global grid search approach
Saleem Yousuf and Ram Kishor
Elsevier BV



Floquet stability analysis of equilibrium points and numerical exploration of pulsating zero-velocity curves and Newton–Raphson basins of attraction
Poonam Meena and Ram Kishor
Elsevier BV



Families of periodic orbits about Lagrangian points L<inf>1</inf>, L<inf>2</inf> and L<inf>3</inf> with continuation method
Saleem Yousuf and Ram Kishor
Elsevier BV



Impact of a Disc and Drag Forces on the Existence Linear Stability of Equilibrium Points and Newton-Raphson Basins of Attraction
Saleem Yousuf and Ram Kishor
Allerton Press



Motion about equilibrium points in the Jupiter-Europa system with oblateness
Saleem Yousuf, Ram Kishor, and Manoj Kumar
Walter de Gruyter GmbH
Abstract The study of motion of a test mass in the vicinity of an equilibrium point under the frame of restricted three body problem (RTBP) plays an important role in the trajectory design for different space missions. In this paper, motion of an infinitesimal mass has been described under the frame of Jupiter-Europa system with oblateness. At first, we have determined equilibrium points and then performed linear stability tests under the influence of oblateness of both the primaries. We found that due to oblateness, a considerable deviation in the existing results has occurred. Next, we have computed tadpole and horseshoe orbits in the neighbourhood of triangular equilibrium points and then the oblateness effect is recorded on these orbits. Finally, the evolution of orbits of infinitesimal mass about triangular equilibrium points have been estimated by using Poincaré surface of section technique and it is noticed that in presence of oblateness, quasi-periodic orbit dominates over the chaotic zones. These results will help in further study of more generalised models with perturbations.


First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries
Poonam Meena and Ram Kishor
Elsevier BV



Effect of Moon perturbation on the energy curves and equilibrium points in the Sun–Earth–Moon system
Ashok Kumar Pal, Elbaz I. Abouelmagd, and Ram Kishor
Elsevier BV



Normalization of Hamiltonian and Nonlinear Stability of Triangular Equilibrium Points in the Photogravitational Restricted Three Body Problem with P–R Drag in Non-resonance Case
Ram Kishor, M. Xavier James Raj, and Bhola Ishwar
Springer Science and Business Media LLC



Effects of the albedo and disc on the zero velocity curves and linear stability of equilibrium points in the generalized restricted three-body problem
Saleem Yousuf and Ram Kishor
Oxford University Press (OUP)
ABSTRACT The important aspects of a dynamical system are its stability and the factors that affect its stability. In this paper, we present an analysis of the effects of the albedo and the disc on the zero velocity curves, the existence of equilibrium points and their linear stability in a generalized restricted three-body problem (RTBP). The proposed problem consists of the motion of an infinitesimal mass under the gravitational field of a radiating-oblate primary, an oblate secondary and a disc that is rotating about the common centre of mass of the system. Significant effects of the albedo and the disc are observed on the zero velocity curves, on the positions of equilibrium points and on the stability region. A linear stability analysis of collinear equilibrium points L1, 2, 3 is performed with respect to the mass parameter μ and albedo parameter QA of the secondary, separately. It is found that L1, 2, 3 are unstable in both cases. However, the non-collinear equilibrium points L4, 5 are stable in a finite range of mass ratio μ. After analysing the individual as well as combined effects of the radiation pressure force of the primary, the albedo force of the secondary, the oblateness of both the primary and secondary and the disc, it is found that these perturbations play a significant role in the design of the trajectories in the vicinity of equilibrium points and in the analysis of their stability property. In the future, the results obtained will improve existing results and will help in the analysis of different space missions. These results are limited to the regular symmetric disc and radiation pressure, which can be extended later.


Normalization of Hamiltonian and nonlinear stability of the triangular equilibrium points in non-resonance case with perturbations
Ram Kishor and Badam Singh Kushvah
Springer Science and Business Media LLC



Lyapunov characteristic exponents in the generalized photo-gravitational Chermnykh-like problem with power-law profile
Ram Kishor and Badam Singh Kushvah
Elsevier BV



Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile
Ram Kishor and Badam Singh Kushvah
Springer Science and Business Media LLC



Linear stability and resonances in the generalized photogravitational chermnykh-like problem with a disc
Ram Kishor and Badam Singh Kushvah
Oxford University Press (OUP)



Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile
Badam Singh Kushvah, Ram Kishor, and Uday Dolas
Springer Science and Business Media LLC

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