Variable Mass Dynamics Of Celestial Bodies Revisited With Modification

  • Soumendra Nath Maitra Retd Professor and HOD Mathematics, National Defence Academy, Pune-411023.

Abstract

Whittaker1 introduced variable mass dynamics in Celestial Mechanics  obtaining as Jacobi –Lagrange counterpart2 a differential equation involving the moment of inertia, where time is  taken as the independent variable. Assuming a mass variation law depending on the masses  of the particles in motion and using their total mass as the independent variable in this paper, Lagrange’s  equation2,3 of  motion and the aforesaid equation of Whittaker are reduced to some relevant forms.

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References

Whittaker JM, 1980, Proceedings of Royal Society, London, PP 372,485-487.

Pollard Harry, Mathematical Introduction to Celestial Mechanics, Prentice-Hall, Inc, New Jersy (1966), pp 38-41.

Singal CL, Mosar Jk Lectures on Celestial Mechanics, Springer-Verlag Berlin, Heidelberg, New York(1971),pp19-26.

Maitra SN, Variable-mass Dynamics with generalized law of Gravitational force, Journal of Pure and Applied Physics, 1993; 5 (4):199-207.

Published
2015-07-22
How to Cite
Maitra, S. (2015). Variable Mass Dynamics Of Celestial Bodies Revisited With Modification. Journal of Advanced Mathematics, 1(1), 23-24. Retrieved from https://asdpub.com/index.php/jam/article/view/190
Section
Short Communications

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