Department of Physics and Computer Science
We consider a Yukawa-type gravitational potential combined with the Poynting-Robertson effect. Dust particles originating within the asteroid belt and moving on circular and elliptic trajectories are studied and expressions for the time rate of change of their orbital radii and semimajor axes, respectively, are obtained. These expressions are written in terms of basic particle parameters, namely their density and diameter. Then, they are applied to produce expressions for the time required by the dust particles to reach the orbit of Earth. For the Yukawa gravitational potential, dust particles of diameter 10-3 m in circular orbits require times of the order of 8.557 x 106 y and for elliptic orbits of eccentricities e = 0.1, 0.5 require times of 9.396 x 106 and 2.129 x 106 y respectively to reach Earth's orbit. Finally, various cases of the Yukawa potential are studied and the corresponding particle times to reach Earth's are derived per case along with numerical results for circular and various elliptical orbits.
Haranas, I., Ragos, O., Gkigkitzis, I., Kotsireas, I., Martz, C., Van Middekoop, S. "The Poynting–Robertson Effect in the Newtonian Potential with a Yukawa Correction." Astrophys Space Sci (2018) 363: 3.