COMMON ENVELOPE SIMULATIONS

New Work

  1. Plotted v_phi/v_Kepler and v_phi/c_s in frame that is corotating with instantaneous particle orbit, centered on particle 2 (the companion).
  2. Plotted potential in the corotating frame with coordinate origin at particle 2.
  3. Added a section to "en.pdf" energy notes to include the potential in a rotating frame.

Plots of velocity relative to particle 2 in corotating frame

  • Plots below show a slice through the companion, parallel to the orbital plane, with companion at the center and RG core at the left.
  • Each particle is surrounded by a green circle with radius equal to the instantaneous softening length.
  • Plots are in the frame corotating with the orbit (instantaneous value of ).
  • Pseudocolor represents where both numerator and denominator are relative to the companion (first plots), or , with relative to the companion.

Run 143 (no accretion):

  • v_phi relative to particle 2 in corotating frame normalized by Keplerian circular speed (Keplerian speed is uncorrected for spline potential):

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Run143/v_phi_over_v_Kepler0_corot_rel_2_vVec_corot_rel_2__sliceP2_faceon_lview_30.0Rsun_P1dir_left_-1_1_difference_0173.png

  • same plot but different color scheme:

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Run143/v_phi_over_v_Kepler0_corot_rel_2_vVec_corot_rel_2__sliceP2_faceon_lview_30.0Rsun_P1dir_left_-1_0.5_rainbow_0173.png

  • normalized by sound speed:

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Run143/v_phi_over_c_s_corot_rel_2_vVec_corot_rel_2__sliceP2_faceon_lview_30.0Rsun_P1dir_left_-1_0.5_rainbow_0173.png

Run 132 (Krumholz accretion):

  • normalized by Keplerian circular speed (Keplerian speed is uncorrected for spline potential):

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp132/v_phi_over_v_Kepler0_corot_rel_2_vVec_corot_rel_2__sliceP2_faceon_lview_30.0Rsun_P1dir_left_-1_1_difference_0173.png

  • same plot but different color scheme:

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp132/v_phi_over_v_Kepler0_corot_rel_2_vVec_corot_rel_2__sliceP2_faceon_lview_30.0Rsun_P1dir_left_-1_0.5_rainbow_0173.png

  • normalized by sound speed:

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp132/v_phi_over_c_s_corot_rel_2_vVec_corot_rel_2__sliceP2_faceon_lview_30.0Rsun_P1dir_left_-1_0.5_rainbow_0173.png

Plots of potential in corotating frame with origin at particle 2

  • Potential does not include that of the gas (Roche potential).
  • Potential is normalized to , where and is the interpartical distance.
  • Note that is almost equal to from Kepler's 3rd law, but not quite since that would ignore the effect of gas on the particle orbit.
  • Contours are at -3 to -1.25, in spacings of 0.25.
  • Run 143 (no accretion):

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Run143/Phi_corot_rel_2_normalized__Phi_corot_rel_2_normalized_sliceP2_faceon_lview_30.0Rsun_P1dir_left_-5_-1_rainbow_0173.png

  • Run 132 (Krumholz accretion):

http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp132/Phi_corot_rel_2_normalized__Phi_corot_rel_2_normalized_sliceP2_faceon_lview_30.0Rsun_P1dir_left_-5_-1_rainbow_0173.png

Updated notes on energy, with the last section just added
​en.pdf

Next steps

  1. Edge-on plots of density and velocity.
  2. ADAF papers; read and discuss.
  3. Begin draft of paper.

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