Abstract: Under the conditions of irrespective gravity，air resistance and relativistic effect，this paper solves the relevant differential equation of motion directly，and obtains the analytic solution of traction time，which is expressed by the linear combination of Legendre complete elliptic integral of first and second kind. The asymptotic behavior is considered when sphere is changed into infinite plain，and then the same result with known literature is obtained.

Key words: traction time, analytic solution, asymptotic behavior, complete elliptic integral