Pretty much every 3D element in fusion is it own mini scene, and there is a center 0.0 coordinates by default. A Pivot point is the point around which an object rotates. I am not sure which control is giving you trouble, but here is a list of the main controls and a short tutorial, so hopefully you will find what you want there.
Pivot and target are the main controls you want to look at for "center of gravity", but keep in mind that if you add transform 3D or merge 3D you can keep rotating scene around its "center of gravity" while the other elements can rotate around there, allowing you to create complex animations. but you can use target to be always at the center, which it is by default. Unless you change it.
Many tools in the 3D category include a Transform tab used to position, rotate, and scale the object in 3D space.
Translation X, Y, Z Offset
These controls can be used to position the 3D element.
Rotation Rotation Order
Use these buttons to select which order is used to apply rotation along each axis of the object. For example, XYZ would apply the rotation to the X axis first, followed by the Y axis and then finally the Z axis.
X, Y, Z Rotation Use these controls to rotate the object around its pivot point. If the Use Target checkbox is selected, then the rotation is relative to the position of the target; otherwise, the global axis is used.
Pivot
X, Y, Z Pivot A Pivot point is the point around which an object rotates. Normally, an object rotates around its own center, which is considered to be a pivot of 0,0,0. These controls can be used to offset the pivot from the center.
Scale X, Y, Z Scale
If the Lock X/Y/Z checkbox is checked, a single Scale slider is shown. This adjusts the overall size of the object. If the Lock checkbox is unchecked, individual X, Y, and Z sliders are displayed to allow individual scaling in each dimension. Note: If the Lock checkbox is checked, scaling of individual dimensions is not possible, even when dragging specific axes of the Transformation Widget in scale mode.
Use Target Selecting the Use Target checkbox enables a set of controls for positioning an XYZ target. When target is enabled, the object always rotates to face the target. The rotation of the object becomes relative to the target.
Onscreen Transformation Controls Most of the controls in the Transform tab are represented in the viewer with onscreen controls for transformation, rotation, and scaling. To change the mode of the onscreen controls, select one of the three buttons in the toolbar in the upper left of the viewer. The modes can also be toggled using the keyboard shortcut Q for translation, W for rotation, and E for scaling. In all three modes, individual axes of the control may be dragged to affect just that axis, or the center of the control may be dragged to affect all three axes.
Courseware 103 - Introduction to 3D Space