Erratum to: Viscosity-mediated motion coupling between pairs of trichobothria on the leg of the spider Cupiennius salei

Erratum to: J Comp Physiol A (2005) 191:733–746 DOI 10.1007/s00359-005-0629-5

It was recently pointed out to us that Figs. 5–8 in this article could not be correctly reproduced with the equations provided. As it turned out, the problem is due to an incorrect transcription of the final version of the manuscript to the printed text in regard to Eq. 21 in the Appendix, and the terms given in the third column of Table 1. These typographic errors, however, do not affect our results and conclusions in any way.

• 1. In Eq. 21 of the Appendix, two minus signs were omitted. The correct equation reads:

  $$ D_{x} = {\frac{{v_{\infty } - v_{x}^{ * } }}{{v_{\infty } - v_{h}^{ * } }}} = - \left( {\frac{{K_{2} (\lambda )}}{{K_{0} (\lambda )}}\frac{1}{{4\eta^{2} }} + {\frac{{2K_{1}^{\prime } \left( {2\lambda \eta } \right)}}{{K_{0} (\lambda )}}}} \right)\sin^{2} \left(\Uppsi \right) + \left( {{\frac{{K_{2} (\lambda )}}{{K_{0} (\lambda )}}}\frac{1}{{4\eta^{2} }} - {\frac{{K_{1} \left( {2\lambda \eta } \right)}}{{\lambda \eta K_{0} (\lambda )}}}} \right)\cos^{2} \left( \Uppsi \right) $$

  with $\lambda = {\frac{1 + i}{\sqrt 2 }}\frac{d}{2\xi } = {\frac{1 + i}{\sqrt 2 }}\frac{d}{2}\sqrt {{\frac{2\pi f}{\nu }}},$ where η = r/d, r is the distance from the origin, d is the hair diameter, ν is the kinematic viscosity of air, and f is the frequency of the oscillating air flow.

• 2. On p. 740, at the end of the first column, the parameter G is erroneously given as G = g/(g ² + π ²/16) when it should be G = −g/(g ² + π ²/16).

• 3. In Table 1, the D ₀ terms in the numerators of the terms shown in the 4th column were erroneously raised to the power of 2. In addition, L ₁ and L ₂ were erroneously interchanged in all terms of row 3 and the last term of row 4. The correct Table 1 reads:

  	ε′	ε′′	ε′′′
  L 1 = L 2	$1 - {\frac{{D_{0}}}{{1 + D_{0}}}}$	$1 + {\frac{{D_{0}^{2}}}{{1 - D_{0}^{2}}}}$	${\frac{{D_{0}}}{{1 - D_{0}^{2}}}}$
  L 1 > L 2	$1 - \frac{{L_{2}^{2}}}{{L_{1}^{2}}}\frac{{D_{0}}}{{1 + D_{0}}}$	$1 + \frac{{L_{2}^{3}}}{{L_{1}^{3}}}\frac{{D_{0}^{2}}}{{1 - D_{0}^{2}}}$	$\frac{{L_{2}^{2}}}{{L_{1}^{2}}}\frac{{D_{0}}}{{1 - D_{0}^{2}}}$
  L 1 < L 2	$1 - {\frac{{D_{0}}}{{1 + D_{0}}}}$	$1 + {\frac{{D_{0}^{2}}}{{1 - D_{0}^{2}}}}$	$\frac{{L_{1}}}{{L_{2}}}\frac{{D_{0}}}{{1 - D_{0}^{2}}}$

• 4. In Fig. 5, the air flow is directed along the x axis and not along the y axis as stated in the figure caption.

• 5. The coupling coefficient κ ₁ for Hair 1, defined as κ ₁ = (θ _ref1 − θ ₁)/θ _ref1 and plotted in Figs. 6 and 7, is not valid for the case of Hair 2 being mechanically driven. In this case, κ ₁ = θ ₁/θ ₂.