NEOs.jl is an open source Near Earth Object orbit determination software package in the Julia programming language. NEOs.jl features exploitation of high-order automatic differentiation techniques, known as jet transport, in order to quantify orbital uncertainties in a versatile, semi-analytical manner. Using NEOs.jl we have estimated the Yarkovsky acceleration acting on the potentially hazardous asteroid Apophis and have ruled out potential impacts on 2036 and 2068.