Fifth order solution of halo orbits via Lindstedt–Poincaré technique and differential correction method

•Restricted three-body is considered when both primaries are radiating and oblate.•Collinear points L1 and L2 are obtained.•Halo orbits around L1 and L2 are computed by LindstedtPoincaré method up to fifth order approximation.•Halo orbits around L1 and L2 are computed Numerically by differential correction method.•Features variation of Halo orbits around L1 and L2 due to variation in radiation pressure and oblateness are investigated.