Central Fields

Closer Radius Makes Stronger Field

The inverse-square field strengthens at smaller radius. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The same source at radius one has radius-square one

The same source parameter 16 is now paired with radius 1.

r2=12=1r^{2}=1^{2}=1
Closer radiusOnly the radius changed; the source parameter remains fixed.mu=16 m^3/s^2radius=1 mradiusSquared=1 m^2field=16 m/s^2

One over a smaller radius square is stronger

The field rises to 16 because the denominator is 1.

g=161=16 m/s2g=\frac{16}{1}=16\ \mathrm{m/s^{2}}
Stronger closer fieldThe field label is computed from the checked radius.mu=16 m^3/s^2radius=1 mradiusSquared=1 m^2field=16 m/s^2