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Efficient numerical routines to find the averaged motion of small dust particles under the Poynting-Robertson force

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Abstract

The orbit-averaged differential equations of motion of dust particles under gravity, radiation pressure and Poynting-Robertson drag were given by Wyatt and Whipple (1950). An integral of motion enables the system of two equations in semi-major axis a and eccentricity e to be reduced to one equation, the solution of which is presented here in terms of analytical formulae. An efficient numerical algorithm to compute the solution is given. Listings of two FORTRAN routines are included.

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References

  • Abramowitz, M. and Stegun, I. A.: 1972,Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics Series, No. 55, 10th printing.

  • Burns, J. A., Lamy, P. L. and Soter, S.: 1979, ‘Radiation Forces on Small Particles in the Solar System’,Icarus 40, 1–48.

    Google Scholar 

  • Dohnanyi, J. S.: 1978, “Particle Dynamics’, inCosmic dust, ed. J. A. M. McDonnell, Wiley, Chichester, pp. 527–605.

    Google Scholar 

  • Gooding, R. H. and Odell, A. W.: 1985,A Monograph on Kepler's Equation, Royal Aircraft Establishment Technical Report 85080.

  • Halley, E.: 1694, ‘Methodus nova accurata e facilis inveniendi radices aequationum quarum cumque generaliter, sine praevia reductione’,Phil. Trans. Roy. Soc. 18, 136–148.

    Google Scholar 

  • Odell, A. W. and Gooding, R. H.: 1986, ‘Procedures for Solving Kepler's Equation’,Celest. Mech. 38, 307–334.

    Google Scholar 

  • Olsson-Steel, D.: 1987, ‘The Dispersal of the Geminid Meteoroid Stream by Radiative Effects’,Mon. Not. R. Astr. Soc. 226 1–17.

    Google Scholar 

  • Trulsen, J. and Wikan, A.: 1980, ‘Numerical Simulation of Poynting-Robertson and Collisional Effects in the Interplanetary Dust Cloud’,Astron. Astrophys. 91, 155–160.

    Google Scholar 

  • Wyatt, S. P. and Whipple, F. L.: 1950 ‘The Poynting-Robertson Effect on Meteor Orbits’,Astrophys. J. 111, 137–141.

    Google Scholar 

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Authors and Affiliations

  1. Space Research Centre, Bartycka 18, 00-716, Warszawa, Poland

    M. S. Staniucha & M. Banaszkiewicz

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  1. M. S. Staniucha
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  2. M. Banaszkiewicz
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Staniucha, M.S., Banaszkiewicz, M. Efficient numerical routines to find the averaged motion of small dust particles under the Poynting-Robertson force. Celestial Mechanics 45, 401–405 (1988). https://doi.org/10.1007/BF01245761

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  • DOI: https://doi.org/10.1007/BF01245761

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