The Talmud (RH 24b; brought also in Sh.Ar. YD 141, 7) says it is forbidden to make a shape of sun, moon or stars.
לא תעשון כדמות שמשיי המשמשין לפני כגון חמה לבנה כוכבים ומזלות
So, is it permitted to type an asterisk?
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It is only forbidden to make the form of a celestial body if it was intended as such. So an asterisk or a plain circle or a zero or the letter O or a picture of a starfish is permitted.