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Link to original content: https://dx.doi.org/10.1007/BF00052611
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On the use and abuse of Newton's second law for variable mass problems

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Abstract

We clarify some misunderstandings currently found in the literature that arise from improper application of Newton's second law to variable mass problems. In the particular case of isotropic mass loss, for example, several authors introduce a force that actually does not exist.

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References

  • Adler, C.G.: 1987, ‘Does Mass Really Depend on Velocity, Dad?’, Am. J. Phys. 55, 739.

    Google Scholar 

  • Das, R.K., Shrivastava, A.K., and Ishwar, B.: 1989, ‘Equations of Motion of Elliptic Restricted Problem of Three Bodies with Variable Mass’, Celest. Mech. 45, 387.

    Google Scholar 

  • Hadjidemetriou, J.D.: 1963, ‘Two-Body Problem with Variable Mass: A new Approach’, Icarus 2, 440.

    Google Scholar 

  • Hadjidemetriou, J.D.: 1967, ‘Secular Variation of Mass and the Evolution of Binary Systems’, Adv. Astron. Astrophys. 5, 131.

    Google Scholar 

  • Horedt, G.P.: 1984, ‘Trojan Orbits with Mass Exchange of the Primaries’, Celest. Mech. 33, 367.

    Google Scholar 

  • Lichtenegger, H.: 1984, ‘The Dynamics of Bodies with Variable Masses’, Celest. Mech. 34, 357.

    Google Scholar 

  • Richstone, D.O. and Potter, M.D.: 1982, ‘Galactic Mass Loss: A Mild Evolutionary Correction to the Angular Size Test’, Astrophys. J. 254, 451.

    Google Scholar 

  • Saslaw, W.C.: 1985, Gravitational Physics of Stellar and Galactic Systems, Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney, p. 52.

    Google Scholar 

  • Sears, F.W.: 1958, Mechanics, Wave Motion and Heat, Addison-Wesley Publishing Company, Inc., Reading, Mass., p. 204.

    Google Scholar 

  • Singh, J., and Ishwar, B.: 1984, ‘Effect of Perturbations on the Location of Equilibrium Points in the Restricted Problem of Three Bodies with Variable Mass’, Celest. Mech. 32, 297.

    Google Scholar 

  • Shrivastava, A.K. and Ishwar, B.: 1983, ‘Equations of Motion of the Restricted Problem of Three Bodies with Variable Mass’, Celest. Mech. 30, 323.

    Google Scholar 

  • Sommerfeld, A.: 1952, Mechanics, Lectures on Theoretical Physics, Vol. I, New York, p. 28.

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Facultad de Ciencias Astronómicas y Geofisicas de la Universidad Nacional de La Plata

On a Fellowship from the Comisión de Investigaciones Cientificas de la Provincia de Buenos Aires.

Member of the Carrera del Investigador Cientifico del Consejo Nacional de Investigaciones Cientificas y Técnicas de la República Argentina.

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Plastino, A.R., Muzzio, J.C. On the use and abuse of Newton's second law for variable mass problems. Celestial Mech Dyn Astr 53, 227–232 (1992). https://doi.org/10.1007/BF00052611

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  • DOI: https://doi.org/10.1007/BF00052611

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