Sorry, no moon on right mouse click only sun on left/right mouse click (not on my copy of Bryce version 7.4 at leasthad to go check it out to make double sure, thought I was going nutzerrrthat may still be). But you can select either choice by clicking the sun/moon icon button. A yellow asterisk indicates the sun and a blue asterisk indicates moon. As the others have said, while in wire mode, hold down Ctrl+Alt while double clicking sun/moon trackball then choose sun or moon.

Huhwhat do you mean we have no moon phases? You guys have me jumping through hoops here. 8) We do have moon phases, by clicking the little cloud, which leads you to the Sky Lab module, in the lower left-hand corner of the Sun/Moon panel; you can control the moon phase. You can, of course, create your own as has been said.