# 坡印亭-羅伯遜效應

## 解釋

$F_{PR} = \frac{v}{c^2}W = \frac{r^2}{4 c^2}\sqrt{\frac{G M_s {L_s}^2}{R^5}}$

$\beta = { F_r \over F_g } = { 3L Q_{pr} \over { 16 \pi GMc \rho s } }$

$m{ \operatorname{d^2}\vec{x}\over \operatorname{d}t^2 } = -GMm \Big( 1-\beta \Big) {\vec{x}\over r^3} +GMm \beta \Bigg \{ { -{ {\vec{x}\cdot \vec{v}} \over {cr} } { \vec{x}\over r^3 } -{ \vec{v} \over {cr^2} } + { R_{\rm s}^2 \over {cr^4} } \Big( \vec{\omega} \times \vec{x} \Big) } \Bigg \}$

## 參考資料

1. ^ interplanetary dust particle (IDP). Britannica.
2. ^ Guess, A. W. Poynting-Robertson Effect for a Spherical Source of Radiation. Astrophysical Journal. 1962, 135: 855–866. Bibcode:1962ApJ...135..855G. doi:10.1086/147329.
3. ^ Burns; Lamy; Soter. Radiation Forces on Small Particles in the Solar System. Icarus. 1979, 40 (1): 1–48. Bibcode:1979Icar...40....1B. doi:10.1016/0019-1035(79)90050-2.
4. ^ Kressel, J. H. Dust Dynamics in Nascent Protoplanetary Disks. Masters Thesis (Old Dominion University). 1996.

## 參考文獻

• Poynting, J. H. Radiation in the solar system: its Effect on Temperature and its Pressure on Small Bodies. Monthly Notices of the Royal Astronomical Society (Royal Astronomical Society). 1903-11, 64 (Appendix): 1–5. Bibcode:1903MNRAS..64A...1P. (Abstract of Philosophical Transactions paper)
• Robertson, H. P. Dynamical effects of radiation in the solar system. Monthly Notices of the Royal Astronomical Society (Royal Astronomical Society). 1937-04, 97: 423–438. Bibcode:1937MNRAS..97..423R.