tə sˈɑːlv fɚðɪ ˈɔːɹbɪt ˌʌndɚɹ ɐ ɹˈeɪdɪəl hɑːɹmˈɑːnɪkˈɑːsɪlˌeɪɾɚ pətˈɛnʃəl, ɪts ˈiːziɚ tə wˈɜːk ɪn kəmpˈoʊnənts ˈɑːɹ ˈiːkwəlz ˈɛks, wˈaɪ, zˈiː.
To solve for the orbit under a radial harmonic-oscillator potential, it's easier to work in components r = (x, y, z).