Refine your search
Collections
Co-Authors
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Choudhry, Ram Kishore
- Stability of the Points of Libration in an Elliptic Restricted Problem of Three Bodies
Abstract Views :173 |
PDF Views:0
Authors
Affiliations
1 P. G. Deptt. of Maths, Bhagalpur University, Bhagalpur-7, Bihar, IN
1 P. G. Deptt. of Maths, Bhagalpur University, Bhagalpur-7, Bihar, IN
Source
The Journal of the Indian Mathematical Society, Vol 35, No 1-4 (1971), Pagination: 227-233Abstract
We start with the linearisation of the equations of motion in the neighbourhood of a point of libration. It is seen that the solution for the third coordinate is periodic and so for stability purposes we do not take into consideration the differential equation giving this coordinate.
- On Periodic Orbits in the Restricted Problem of Three Bodies in a Three Dimensional Coordinate System
Abstract Views :119 |
PDF Views:0
Authors
Affiliations
1 P. G. Deptt. of Maths, Bhagalpur University, Bhagalpur-7, Bihar, IN
1 P. G. Deptt. of Maths, Bhagalpur University, Bhagalpur-7, Bihar, IN
Source
The Journal of the Indian Mathematical Society, Vol 38, No 1-4 (1974), Pagination: 319-328Abstract
This paper is an extension of paper [1] which also studies the existence of periodic orbits in the restricted problem of three bodies in a three dimensional coordinate system. Instead of taking p20 = g30 = P30 = 0 for the generating solution as in [1], we have chosen the following conditions:
(i) P20 ≠ 0, q30 = P30 = 0
and (ii) P20 ≠ 0, q30 ≠ 0, P30 = 0(n)
The existence of periodic orbits is studied in both cases, using the same variables and the same method as in [1]. Our study will be restricted only to the first approximation.
- On the Restricted Problem of Three Bodies in a Three Dimensional Space
Abstract Views :152 |
PDF Views:0
Authors
Affiliations
1 Bhagalpur University, Bhagalpur, Bihar, IN
1 Bhagalpur University, Bhagalpur, Bihar, IN
Source
The Journal of the Indian Mathematical Society, Vol 30, No 1 (1966), Pagination: 1-7Abstract
This paper has got two-fold importance for the restricted problem of three bodies in a three dimensional coordinate system. First, it gives a clear idea of main properties of orbits for the above problem and second, it presents a comparative estimate of plane and space orbits. Moulton [11] and Batrakov [1] also took up the study of similar problems.- Transformation of Birkhoff's Rings into themselves and Rotational Numbers
Abstract Views :175 |
PDF Views:0
Authors
Affiliations
1 Bhagalpur University, Bhagalpur, Bihar, IN
1 Bhagalpur University, Bhagalpur, Bihar, IN
Source
The Journal of the Indian Mathematical Society, Vol 30, No 1 (1966), Pagination: 27-45Abstract
This work is primarily based on Merman's paper on the coplanar restricted problem of three bodies. Here we present its three dimensional generalisation. We shall be exploiting Merman's works and our two papers published in this direction at every step. Some of the main results obtained in the previous papers are given here in nutshell.- The Motion of a Minor Planet with the Commensurability =1/2
Abstract Views :158 |
PDF Views:0