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Cosmological growth can be measured in the redshift space clustering ofgalaxies targeted by spectroscopic surveys. Accurate prediction of clusteringof galaxies will require understanding galaxy physics which is a very hard andhighly non-linear problem. Approximate models of redshift space distortion(RSD) take a perturbative approach to solve the evolution of dark matter andgalaxies in the universe.  In this paper we focus on eBOSS emission line galaxies (ELGs) which live inintermediate mass haloes. We create a series of mock catalogues using haloesfrom the Multidark and {\sc Outer Rim} dark matter only N-body simulations. Ourmock catalogues include various effects inspired by baryonic physics such asassembly bias and the characteristics of satellite galaxies kinematics,dynamics and statistics deviating from dark matter particles.  We analyse these mocks using the TNS RSD model in Fourier space and the CLPTin configuration space. We conclude that these two RSD models provide anunbiased measurement of redshift space distortion within the statistical errorof our mocks. We obtain the conservative theoretical systematic uncertainty of$3.3\%$, $1.8\%$ and $1.5\%$ in $f\sigma_8$, $\alpha_{\parallel}$ and$\alpha_{\bot}$ respectively for the TNS and CLPT models. We note that theestimated theoretical systematic error is an order of magnitude smaller thanthe statistical error of the eBOSS ELG sample and hence are negligible for thepurpose of the current eBOSS ELG analysis.

The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: N-body Mock Challenge for the eBOSS Emission Line Galaxy Sample