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Erratum | Open | Published:

Erratum to: Thermal and hydrostatic structure of the protoplanetary nebula exposed to stellar radiation and stellar wind from the central star

The original article was published in Earth, Planets and Space 2007 59:BF03352724

In the above-mentioned paper, we used an incorrect balance equation of force between the wind dynamical pressure and the nebular pressure on the contact surface by overlooking the change in the cross section for the momentum flux of the wind. Therefore, it is necessary to replace equations as follows.

  1. 1)

    Section 2. Equation (10): “P = f P w at z = z s ,” should be replaced by “P = f2 P w at z = z s ,”.

  2. 2)

    Section 2. Equation (15): should be replaced by .

  3. 3)

    Section 2. Equation (18): should be replaced by .

  4. 4)

    Appendix A. Equation (A.3): should be replaced by .

  5. 5)

    Appendix A. Equation (A.4): should be replaced by .

  6. 6)

    Appendix A. Equation (A.5): should be replaced by

  7. 7)

    Appendix A. Equation (A.6): should be replaced by .

Fortunately, the results on the temperature distribution and the height of the nebula hardly change even if the equations change. However, the behavior of solutions near the critical point changes. As a result, there exist surely the steady state solutions of the nebula, even if the wind parameter, t*/β, is smallar than 1 × 107 yr although the above-mentioned paper declared that there is no solution in such an extremely strong wind case.

Figures 11 and 12 on p. 640 should read as follows:

Fig. 11
figure1

Position of the critical point, ηc and fc, as a function of the wind parameter t*/β.

Fig. 12
figure2

Four characteristic angles θ0, θ, θ1 and θ2 as functions of t*/β.

Additional information

The original online version for this chapter can be found at http://dx.doi.org/10.1186/BF03352724

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