hˈɛns, ðɪ ˈoʊnli pətˈɛnʃəlz ðæt kæn pɹədˈuːs stˈeɪbəl klˈoʊzd nˈɑːnsˈɜːkjʊlɚɹ ˈɔːɹbɪts ɑːɹ ðɪ ɪnvˈɜːsskwˈɛɹ fˈoːɹs lˈɔː bˈeɪɾə ˈiːkwəlz wˈʌn ænd ðə ɹˈeɪdɪəl hɑːɹmˈɑːnɪkˈɑːsɪlˌeɪɾɚ pətˈɛnʃəl bˈeɪɾə ˈiːkwəlz tˈuː.
Hence, the only potentials that can produce stable closed non-circular orbits are the inverse-square force law (β = 1) and the radial harmonic-oscillator potential (β = 2).